Explanation / Important formulas:
Shares or stocks: The whole capital is divided into small units called shares or stock.
Example: For each investment, the company issues a ‘share-certificate’, showing the value of each share and the number of shares held by a person. The person who subscribes in shares or stock is called a share holder or stock holder.
Stock Capital: The total amount of money needed to run the company is called the stock capital.
Dividend: The annual profit distributed among share holders is called dividend. Dividend is paid annually as per share or as a percentage.
Market Value: The stock of different companies are sold and bought in the open market through brokers at stock-exchanges. A share or stock is said to be:
- At premium or Above par, if its market value is more than its face value.
- At par, if its market value is the same as its face value.
- At discount or Below par, if its market value is less than its face value.
- Thus, if a Rs. 100 stock is quoted at premium of 16, then market value of the stock = Rs.(100 + 16) = Rs. 116.
- Likewise, if a Rs. 100 stock is quoted at a discount of 7, then market value of the stock = Rs. (100 – 7) = 93.
Face Value: The value of a share or stock printed on the share-certificate is called its Face Value or Nominal Value or Par Value.
Brokerage: The broker’s charge is called brokerage.
- When stock is purchased, brokerage is added to the cost price.
- When stock is sold, brokerage is subtracted from the selling price.
Note:
- The face value of a share always remains the same.
- The market value of a share changes from time to time.
- Dividend is always paid on the face value of a share.
- Number of shares held by a person = Total Investment / Investment in 1 share = Total Income / Income from 1 share = Total face Value / Face of 1 share
Thus, by a Rs. 100, 9% stock at 120, we mean that:
- Face Value of stock = Rs. 100.
- Market Value (M.V) of stock = Rs. 120.
- Annual dividend on 1 share = 9% of face value = 9% of Rs. 100 = Rs. 9.
- An investment of Rs. 120 gives an annual income of Rs. 9.
- Rate of interest p.a = Annual income from an investment of Rs. 100 = (9/120 x 100)% = 7 ½%
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Stocks and Shares - Test
Stocks and shares - Question and Answers
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Question 1
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To produce an annual income of Rs. 1200 from a 12% stock at 90, the amount of stock needed is
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Rs. 10800
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Rs. 10000
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Rs. 14400
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Rs. 16000
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Question 1 Explanation:
For an income of Rs.12, stock needed = 100
For an income of Rs. 1200, stock needed = 100 * 1200/12
= 10000
For an income of Rs. 1200, stock needed = 100 * 1200/12
= 10000
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Question 2
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The cost price of a Rs. 100 stock at 4 discount, when brokerage is ¼ % is
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Rs. 96
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Rs. 95.75
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Rs. 96.25
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Rs. 104.25
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Question 2 Explanation:
C.P = Rs. 100 – 4 + ¼
= Rs. 96.25
= Rs. 96.25
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Question 3
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Y investing Rs. 1620 in 8% stock, sandeep earns Rs. 135. The stock is then quoted at:
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Rs. 106
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Rs. 80
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Rs. 96
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Rs. 108
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Question 3 Explanation:
To earn Rs. 135, investment = Rs. 1620
To earn Rs. 8, investment = Rs. (1620/135) * 8 = Rs. 96
Market value of Rs. 100 stock = Rs. 96
To earn Rs. 8, investment = Rs. (1620/135) * 8 = Rs. 96
Market value of Rs. 100 stock = Rs. 96
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Question 4
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A 6% stock yields 8%. The market value of the stock is
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Rs. 48
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Rs. 75
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Rs. 96
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Rs. 133.33
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Question 4 Explanation:
For an income of Rs. 8, Investment = Rs. 100
For an income of Rs. 6, investment = Rs. 100/8 * 6
= Rs. 75
Market value of Rs. 100 stock = Rs. 75
For an income of Rs. 6, investment = Rs. 100/8 * 6
= Rs. 75
Market value of Rs. 100 stock = Rs. 75
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Question 5
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Rs. 9800 are invested partly in 9% stock at 75 and 10 % stock at 80 to have equal amount of incomes. The investment in 9% stock is
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Rs. 4800
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Rs. 5400
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Rs. 5000
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Rs. 5600
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Question 5 Explanation:
Let the investment in 9% stock is x
Investment in 10% stock = (9800 - x)
9/75 * x = 10/80(9800- x) hence x = 5000
Investment in 10% stock = (9800 - x)
9/75 * x = 10/80(9800- x) hence x = 5000
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Question 6
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A 9 % stock yields 8%. The market value of the stock is
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Rs. 72
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Rs. 116.50
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Rs. 90
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Rs. 112.50
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Question 6 Explanation:
To get Rs.8, investment = Rs. 100
To get Rs.9, investment = Rs. 100/8 * 9 = Rs. 112.50
Market value of Rs. 100 stock = Rs. 112.50
To get Rs.9, investment = Rs. 100/8 * 9 = Rs. 112.50
Market value of Rs. 100 stock = Rs. 112.50
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Question 7
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Rajinder invests a part of Rs. 12000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs. 125. If his taotal dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
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Rs. 4500
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Rs. 6000
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Rs. 5500
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Rs 4000
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Question 7 Explanation:
Let investment in 12% stock is Rs. X
Investment in 15% stock Rs. (12000-x)
(12/120)* x +15/125(12000-x)
= 1360
5x + 72000- 6x hence x = 4000
Investment in 15% stock Rs. (12000-x)
(12/120)* x +15/125(12000-x)
= 1360
5x + 72000- 6x hence x = 4000
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Question 8
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A man buys Rs. 20 shares paying 9% divided. The man wants to have an interest of 12% on his money. The market value of each share is
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12
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15
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18
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20
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Question 8 Explanation:
Dividend on Rs. 20 = Rs. (90/100) x 20 = Rs. 9/5
Rs.12 is an income on Rs. 100
Rs. 9/5 is an income on Rs. (100/12) x (9/5) = Rs. 15
Rs.12 is an income on Rs. 100
Rs. 9/5 is an income on Rs. (100/12) x (9/5) = Rs. 15
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Question 9
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Find the cost of Rs. 6400, 10% stock at 15 discount.
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5440
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5480
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6440
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6480
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Question 9 Explanation:
Cost of Rs. 100 stock = Rs. (100 - 15)
Cost of Rs. 6400 stock = Rs. (85/100 * 6400) = Rs. 5440
Cost of Rs. 6400 stock = Rs. (85/100 * 6400) = Rs. 5440
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Question 10
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Find the cash required to purchase Rs. 3200, 7(1/2)% stock at 107(brokerage (1/2)%).
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3440
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4440
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5440
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6440
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Question 10 Explanation:
Cash required to purchase Rs. 100 stock = Rs. (107 + (1/2)) = Rs. (215/2)
Cash required to purchase Rs. 100 stock = Rs [(215/2)*(1/100)*3200] = Rs. 3440
Cash required to purchase Rs. 100 stock = Rs [(215/2)*(1/100)*3200] = Rs. 3440
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Question 11
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Find the annual income derived from Rs. 2500, 8% stock at 106.
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100
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150
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200
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250
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Question 11 Explanation:
Income from Rs. 100 stock = Rs. 8
Income from Rs. 2500 = Rs. [(8/1000*2500)] = Rs. 200
Income from Rs. 2500 = Rs. [(8/1000*2500)] = Rs. 200
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Question 12
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F ind the annual income derived by investing Rs. 6800 in 10% stock at 136.
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200
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300
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400
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500x
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Question 12 Explanation:
By investing Rs. 136, income obtained = Rs. 10
By investing Rs. 6800, income obtained = Rs. [(10/136)*6800] = Rs. 500
By investing Rs. 6800, income obtained = Rs. [(10/136)*6800] = Rs. 500
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Question 13
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Find the cost of 96 shares of Rs. 10 each at (3/4)discount, brokerage being(1/4) per share.
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812
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912
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1012
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1112
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Question 13 Explanation:
Cost of 1 share = Rs. [(10 –(3/4)) +(1/4)] = Rs. (19/2).
Cost of 96 shares = Rs. [(19/2)*96] = Rs. 912
Cost of 96 shares = Rs. [(19/2)*96] = Rs. 912
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Question 14
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Find the income derived from 88 shares of Rs.25 each at 5 premium, brokerage being (1/4) per share and the rate of dividend being 7(1/2)% per annum.
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150
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165
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180
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201
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Question 14 Explanation:
Cost of 1 share = Rs. [25+5+(1/4)] = Rs. (121/4)
Cost of 88 shares = Rs. [(121/4)*88] = Rs. 2662
Investment made = Rs. 2662
Face value of 88 shares = Rs. (88*25) = Rs. 2200
Dividend on Rs. 2200 = Rs. [(15/20)*(1/100)*2200] = Rs. 165
Income derived = Rs. 165
Cost of 88 shares = Rs. [(121/4)*88] = Rs. 2662
Investment made = Rs. 2662
Face value of 88 shares = Rs. (88*25) = Rs. 2200
Dividend on Rs. 2200 = Rs. [(15/20)*(1/100)*2200] = Rs. 165
Income derived = Rs. 165
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Question 15
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A man sells Rs. 5000, 12 % stock at 156 and invests the proceeds parity in 8% stock at 90 and 9% stock at 108. He hereby increases his income by Rs. 70. How much of the proceeds were invested in each stock?
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3600(8%), 4200(9%)
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4000(8%), 4200(9%)
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3600(8%), 4000(9%)
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4000(8%),4000(9%)4000(8%),4000(9%)
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Question 15 Explanation:
S.P of Rs. 5000 stock = Rs. [(156/100)*5000] = Rs. 7800
Income from this stock = Rs. [(12/100)*5000] = Rs. 600
Let investment in * % stock be x and that in 9% stock = (7800 - x)
[x*(8/90)] + (7800-x) * (9/108) = (600 +7)
(4x/45) + [(7800 - x)*(9/108) = (600+7)]
(4x/45) + [(7800 - x) / 12] = 670
If 3 16x + 117000 – 15x = (670*180)
X= 3600
Money invested in 9% at 108 = Rs. (7800 - 3600) = Rs. 4200
Income from this stock = Rs. [(12/100)*5000] = Rs. 600
Let investment in * % stock be x and that in 9% stock = (7800 - x)
[x*(8/90)] + (7800-x) * (9/108) = (600 +7)
(4x/45) + [(7800 - x)*(9/108) = (600+7)]
(4x/45) + [(7800 - x) / 12] = 670
If 3 16x + 117000 – 15x = (670*180)
X= 3600
Money invested in 9% at 108 = Rs. (7800 - 3600) = Rs. 4200
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Question 16
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A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128.The dividend from the stock is?
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7.5%
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8%
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9.7%
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none of these
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Question 16 Explanation:
By investing Rs. 1552, income = Rs. 128
By investing Rs. 97, income = Rs (128/1552 x 97) = Rs. 8
Therefore, Dividend = 8%
By investing Rs. 97, income = Rs (128/1552 x 97) = Rs. 8
Therefore, Dividend = 8%
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Question 17
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In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
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Rs. 6240
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Rs. 3100
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Rs. 6500
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Rs. 9600
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Question 17 Explanation:
Answer: Option A
To obtain Rs. 10, investment = Rs. 96
To obtain Rs. 650,
Investment Rs.(96/10 x 650) = Rs. 6240
To obtain Rs. 10, investment = Rs. 96
To obtain Rs. 650,
Investment Rs.(96/10 x 650) = Rs. 6240
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Question 18
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A man buys Rs. 25 shares in a company which pays 9% divided. The money invested is such that it gives 10% on investment. At what price did he buy the shares?
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Rs. 22
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Rs. 22.50
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Rs. 25
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Rs. 22.50
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Question 18 Explanation:
Suppose he buys each share be Rs. X
Then, (25 x 9/100) = (X x 10/100)
X= 22.50
Cost of each share is Rs. 22.50
Then, (25 x 9/100) = (X x 10/100)
X= 22.50
Cost of each share is Rs. 22.50
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Question 19
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A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium. If the company declared 5% divided at the end of the year, then how much does he get?
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Rs. 500
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Rs. 600
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Rs. 650
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Rs. 720
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Question 19 Explanation:
Number of shares = (14400/120) = 120
Face value = Rs. (100x120) = Rs. 12000
Annual income = Rs. (5/100x12000) = Rs. 600
Face value = Rs. (100x120) = Rs. 12000
Annual income = Rs. (5/100x12000) = Rs. 600
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Question 20
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A investment some money in 105 stock at 96. If B wants to invest in an equality good 12% stock, he must purchase a stock worth of?
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Rs. 50
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Rs. 105
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Rs. 115.20
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Rs. 125.40
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Question 20 Explanation:
For an income of Rs. 10, investments = Rs. 96
For an income of Rs. 12,
Investments = Rs. (96/10 x 12)
= Rs. 115.20
For an income of Rs. 12,
Investments = Rs. (96/10 x 12)
= Rs. 115.20
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Question 21
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A man buys Rs. 50 shares in a company which pays 10% divided. If the man gets 12.5% on his investments, at what price did he buys the shares?
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Rs.40
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Rs. 37.50
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Rs. 48
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Rs. 52
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Question 21 Explanation:
Dividend on 1 share = Rs. (10/100 x 50)
= Rs. 5
Rs. 12.50 is an income on an investment of Rs. 100
Rs. 5 is an income on investments of
Rs. (100 x 2/25 x5) = Rs. 40
Cost of 1 share = Rs. 40
= Rs. 5
Rs. 12.50 is an income on an investment of Rs. 100
Rs. 5 is an income on investments of
Rs. (100 x 2/25 x5) = Rs. 40
Cost of 1 share = Rs. 40
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Question 22
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A man invests in a 16% stock at 128. The interest obtained by him is?
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16
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12.5
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8
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12
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Question 22 Explanation:
Investing Rs. 128, income is = Rs. 16
Investing Rs. 100, income is Rs.(16*100/128) = 12.5
Investing Rs. 100, income is Rs.(16*100/128) = 12.5
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Question 23
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A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio?
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3:4
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3:5
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4:5
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16: 15
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Question 23 Explanation:
For an income of Re. 1 in 9%
Stock at 96, investment = Rs. (96/9).
= Rs.(32/3)
For an income of Re.1in 12% stock at 120, investments = Rs.(120/12) = Rs. 10
Ratio of investments = 32/3:10 = 32: 30 = 16: 25
Stock at 96, investment = Rs. (96/9).
= Rs.(32/3)
For an income of Re.1in 12% stock at 120, investments = Rs.(120/12) = Rs. 10
Ratio of investments = 32/3:10 = 32: 30 = 16: 25
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Question 24
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Sakshi invests a part of Rs. 12,000 in 12% stock at Rs. 120 and the remainder in 15% stock at Rs.125. If his total dividend per annum is Rs. 1360, how much does he invest in 12% stock at Rs. 120?
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4100
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4050
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3000
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4000
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Question 24 Explanation:
Let investment in 12% stock be Rs. X
Then, investment in 15% stock = Rs. (12000 - x)
(12/120) x X + (15/125) x (12000 - x) = 1360
x/10 + 3/25(12000-x) = 1360
5x + 72000 – 6x = 1360 x 50
X= 4000
Then, investment in 15% stock = Rs. (12000 - x)
(12/120) x X + (15/125) x (12000 - x) = 1360
x/10 + 3/25(12000-x) = 1360
5x + 72000 – 6x = 1360 x 50
X= 4000
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Question 25
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The cost price of a Rs. 100 stock at 4 discount, when brokerage is ¼ % is?
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Rs. 96.25
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Rs. 96.52
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Rs. 69.52
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Rs. 69.25
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Question 25 Explanation:
C.P = Rs. 100 – 4 + ¼ = Rs. 96.25
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Question 26
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A 12% stock yielding 10% is quoted at
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Rs. 102
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Rs. 120
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Rs. 201
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Rs. 69.25
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Question 26 Explanation:
To earn Rs. 10, money invested = Rs. 100
To earn Rs. 12, money invested = Rs. 100 x 12/10 = Rs. 120
Market value of Rs. 100 stock = Rs. 120
To earn Rs. 12, money invested = Rs. 100 x 12/10 = Rs. 120
Market value of Rs. 100 stock = Rs. 120
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Question 27
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A man invested Rs. 1552 in a stock at 97 to obtain an income of Rs. 128. The dividend from the stock is
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10%
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9%
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8%
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7%
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Question 27 Explanation:
By investing Rs. 1552, income = Rs. 128
B y investing Rs. 97, income = Rs.128 x 97/1552 = Rs. 8
Dividend = 8%
B y investing Rs. 97, income = Rs.128 x 97/1552 = Rs. 8
Dividend = 8%
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Question 28
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By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at
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Rs. 96
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Rs. 69
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Rs. 100
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Rs. 69.25
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Question 28 Explanation:
To earn Rs. 135, investment= Rs. 1620
To earn Rs. 8, investment = Rs. (1620/135) x 8 = Rs. 96
Market value of Rs. 100 stock = Rs. 96
To earn Rs. 8, investment = Rs. (1620/135) x 8 = Rs. 96
Market value of Rs. 100 stock = Rs. 96
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Question 29
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A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio
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15:14
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14:15
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15:16
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16: 15
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Question 29 Explanation:
For an income of Re. 1 in 9% stock at 96, investment = Rs. 96/9
= Rs. 32/3
For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12
= Rs. 10
Ratio of investments = 32/3 : 10 = 32:30 =16:15
= Rs. 32/3
For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12
= Rs. 10
Ratio of investments = 32/3 : 10 = 32:30 =16:15
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Question 30
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A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is
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Rs.846
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Rs. 486
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Rs. 648
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Rs. 69.25
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Question 30 Explanation:
Number of shares = 4455/8.25 = 540
Face value = Rs. (540 x 10) = Rs. 5400
Annual income = Rs. (12/100) x 5400
= Rs. 648
Face value = Rs. (540 x 10) = Rs. 5400
Annual income = Rs. (12/100) x 5400
= Rs. 648
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Question 31
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A 6% stock yields 8%. The market value of the stock is
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Rs. 60
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Rs. 70
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Rs. 57
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Rs. 75
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Question 31 Explanation:
For an income of Rs. 8, investment = Rs. 100
For an income of Rs. 6, investment = Rs. (100/8) x 6 = Rs. 75
Market value of Rs. 100 stock = Rs. 75
For an income of Rs. 6, investment = Rs. (100/8) x 6 = Rs. 75
Market value of Rs. 100 stock = Rs. 75
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Question 32
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In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
|
Rs. 6240
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Rs. 2406
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Rs. 4062
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Rs. 2460
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Question 32 Explanation:
To obtain Rs. 10, investment = Rs. 96
To obtain Rs. 650, investment = Rs. (96/10) x 650 = Rs. 6240
To obtain Rs. 650, investment = Rs. (96/10) x 650 = Rs. 6240
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Question 33
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A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is
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Rs. 20
|
|
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Rs. 15
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Rs. 51
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Rs. 55
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Question 33 Explanation:
Dividend on Rs. 20 = Rs.(9/100) x 20 = Rs. 9/5
Rs. 12 is an income on Rs. 100
Rs. 9/5 is an income on Rs. (100/12) x 9/5 = Rs. 15
Rs. 12 is an income on Rs. 100
Rs. 9/5 is an income on Rs. (100/12) x 9/5 = Rs. 15
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Question 34
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A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 6%, his annual income is?
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Rs. 423
|
|
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Rs. 432
|
|
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Rs. 432
|
|
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Rs. 234
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Question 34 Explanation:
Number of shares = 4455/8.25 = 540
Face value = Rs. 540*10 = Rs. 5400
Income = Rs(6/100)*5400
= Rs. 324
Face value = Rs. 540*10 = Rs. 5400
Income = Rs(6/100)*5400
= Rs. 324
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Question 35
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A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share must be:
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Rs. 12
|
|
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Rs. 15
|
|
|
Rs. 18
|
|
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Rs. 21
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Question 35 Explanation:
Dividend on Rs. 20 = Rs. (9/100)*20
= Rs. 9/5
So, Rs. 12 is an income on Rs. 100
So, Rs. 9/5 is an income on Rs.(100/12)*(9/5) = Rs. 15
= Rs. 9/5
So, Rs. 12 is an income on Rs. 100
So, Rs. 9/5 is an income on Rs.(100/12)*(9/5) = Rs. 15
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Question 36
|
By investing in 15/4% stock at 96, one ears Rs.100. The investment made is?
|
Rs. 5260
|
|
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Rs. 5206
|
|
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Rs. 2560
|
|
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Rs. 2506
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Question 36 Explanation:
For earning Rs. 15/4, investment = Rs. 96
For earning Rs. 100, investment = Rs. (96*4/15)*100
= Rs. 2560
For earning Rs. 100, investment = Rs. (96*4/15)*100
= Rs. 2560
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Question 37
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A man invested Rs. 388 in a stock at 97 to obtain an income of Rs. 22. The dividend from the stock is?
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3%
|
|
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12%
|
|
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11/2%
|
|
|
2/11%
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Question 37 Explanation:
When investment is Rs. 388, income = Rs.22
When investment is Rs. 97, income = Rs. (22/388)*97 = Rs. 5.50
Dividend on Rs.100 stock = 11/2%
When investment is Rs. 97, income = Rs. (22/388)*97 = Rs. 5.50
Dividend on Rs.100 stock = 11/2%
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Question 38
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A man invests some money partly in 3% stock at 96 and partly in 4% stock at 120. To get equal dividends from both, he must invest the money in the ratio?
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16: 15
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15:16
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10:12
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12: 10
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Question 38 Explanation:
For an income of Rs. 1 in 3% stock, investment = Rs. 96/3 = Rs. 32
For an income of Rs. 1 in 4% stock, investment = Rs. 120/4 = Rs. 30
So, Ratio of investment = 32:30 = 16: 15
For an income of Rs. 1 in 4% stock, investment = Rs. 120/4 = Rs. 30
So, Ratio of investment = 32:30 = 16: 15
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Question 39
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I want to purchase a 6% stock which must yield 5% on my capital. At what price must i buy the stock?
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Rs. 111
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Rs. 102
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Rs. 210
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Rs. 120
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Question 39 Explanation:
For an investment of Rs. 5, investment = Rs. 100
For an income of Rs. 6, investment = Rs. (100/5)*6 = Rs. 120
For an income of Rs. 6, investment = Rs. (100/5)*6 = Rs. 120
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Question 40
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A invested some money in 4% stock at 96. Now, B wants to invest in an equally good 5% stock. B must purchase a stock worth of?
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Rs. 120
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Rs. 220
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Rs. 320
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Rs. 202
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Question 40 Explanation:
For an income of Rs.4, investment = Rs.96
For an income of Rs. 5, Investment = Rs. (96/4)*5 = Rs. 120
For an income of Rs. 5, Investment = Rs. (96/4)*5 = Rs. 120
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Question 41
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A 4% stock yields 5%. The market value of the stock is?
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Rs. 125
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Rs. 80
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Rs. 80
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Rs. 110
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Question 41 Explanation:
For an income of Rs.5, investment = Rs.100
For an income of Rs. 4, investment = Rs.(100/5)*4 = Rs.80
For an income of Rs. 4, investment = Rs.(100/5)*4 = Rs.80
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Question 42
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By investing in a 6% stock at 96, an income of Rs. 100 is obtained by making an investment of:
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Rs. 1600
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Rs. 1006
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Rs. 1060
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Rs. 6100
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Question 42 Explanation:
For an income of Rs. 6, investment = Rs. 96
For an income of Rs.100, investment = Rs. (96/6)*100 = Rs. 1600
For an income of Rs.100, investment = Rs. (96/6)*100 = Rs. 1600
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Question 43
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The cash realized by selling a 11/2% stock at 425/4, brokerage being ¼% is
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Rs. 610
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Rs. 160
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Rs. 106
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none
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Question 43 Explanation:
Cash realized = Rs. (425/4) – (1/4) = Rs. 106
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Question 44
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Find the annual income derived from Rs. 2500, 8% stock at 106?
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100
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150
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200
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250
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Question 44 Explanation:
Income from Rs. 100 stock = Rs. 8
Income from Rs. 2500 stock = (8/100)*2500 = Rs. 200
Income from Rs. 2500 stock = (8/100)*2500 = Rs. 200
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Question 45
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A 6% stock yields 8%. The market value of the stock is?
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70
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75
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80
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85
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Question 45 Explanation:
For an income of Rs. 8, investment = Rs. 100
For an income of Rs. 6, investment = (100/8)*6 = Rs. 75
Market value of Rs. 100 stock = Rs. 75
For an income of Rs. 6, investment = (100/8)*6 = Rs. 75
Market value of Rs. 100 stock = Rs. 75
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Question 46
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A man invested Rs, 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is
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107.04
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648
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500
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648.6
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Question 46 Explanation:
Number of shares = 4455/8.25 = 540
Face value = Rs. (540 x 10) = Rs. 5400
Annual income = (12/100)*5400 = Rs. 648
Face value = Rs. (540 x 10) = Rs. 5400
Annual income = (12/100)*5400 = Rs. 648
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Question 47
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Find the cost of Rs. 6400, 10% stock at 15 discount?
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2000
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5440
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5140
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8500
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Question 47 Explanation:
Cost of Rs. 100 stock = Rs. (100 - 15)
Cost of Rs. 6400 stock = (85/100)*6400 = Rs. 5440
Cost of Rs. 6400 stock = (85/100)*6400 = Rs. 5440
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Question 48
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A man invests some money partly in 9% stock at 96 and partly in 12% stock at 120. To obtain equal dividends from both, he must invest the money in the ratio?
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3:5
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1:2
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16:15
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4:5
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Question 48 Explanation:
For an income of Re. 1 in 9% stock atr 96, investment = Rs. 96/9 = Rs. 32/3
For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10
Ratio of investments = (32/3):10
= 32:30 = 16:15
For an income Re. 1 in 12% stock at 120, investment = Rs. 120/12 = Rs. 10
Ratio of investments = (32/3):10
= 32:30 = 16:15
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Question 49
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By investing Rs. 1620 in 8% stock, Michael earns Rs. 135. The stock is then quoted at?
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80
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94
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106
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108
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Question 49 Explanation:
To earn Rs. 135, investment = Rs. 1620
To earn Rs. 8, investment = (1620/135)*8 = Rs. 96
Market value of Rs. 100 stock = Rs.96
To earn Rs. 8, investment = (1620/135)*8 = Rs. 96
Market value of Rs. 100 stock = Rs.96
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Question 50
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In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of?
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3100
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6240
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6400
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9600
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Question 50 Explanation:
To obtain Rs. 10, investment = Rs. 96
To obtain Rs. 650, investment = 650*96/10 = Rs. 6240
To obtain Rs. 650, investment = 650*96/10 = Rs. 6240
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Question 51
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A investment some money in 10% stock at 96. If B wants to invest in an equally good 12% stock, he must purchase a stock worth of?
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Rs. 80
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Rs. 120.25
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Rs. 115.20
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Rs. 125.40
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Question 51 Explanation:
For an income of Rs. 10, investment = Rs. 96.
For an income of Rs. 12, investment = 96*12/10
= Rs. 115.20
For an income of Rs. 12, investment = 96*12/10
= Rs. 115.20
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Question 52
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By investing in 16 2/3% stocks at 64, one earns Rs.1500, The investment made is?
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5460
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5600
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5760
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5840
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Question 52 Explanation:
To earn Rs. 50/3, investment = Rs. 64
To earn Rs. 1500, investment = 64*(3/50)*1500 = Rs. 5760
To earn Rs. 1500, investment = 64*(3/50)*1500 = Rs. 5760
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Question 53
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A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. The market value of each share is?
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12
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15
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18
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20
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Question 53 Explanation:
Dividend on Rs. 20 = Rs. (9/100) x 20 = Rs. 9/5
Rs. 12 is an income on Rs. 100
Rs. 9/5 is an income on Rs.[(100/12) x (9/5)] = Rs. 15
Rs. 12 is an income on Rs. 100
Rs. 9/5 is an income on Rs.[(100/12) x (9/5)] = Rs. 15
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Question 54
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The cash realised on selling a 14% stock is Rs. 106.25, Brokerage being ¼% is
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100
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106
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123
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120.25
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Question 54 Explanation:
Cash realised = Rs. (106.25 – 0.25) = Rs. 106
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