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Ratio of Divisions of Gains:
- When investments of all the partners are for the same time, the gain or loss is distributed among the partners in the ratio of their investments
- Suppose A and B invest Rs. x and Rs. y respectively for a year in a business, then at the end of the year: (A’s share of profit) : (B’s share of profit) = x : y
- When investments are for different time periods, then equivalent capitals are calculated for a unit of time by taking (capital x number of units of time). Now gain or loss is divided in the ratio of these capitals
- Suppose A invests Rs. x for p months and B invests Rs. y for q months then, (A’s share of profit) : (B’s share of profit)= xp : yq
Working and Sleeping Partners:
- A partner who manages the business is known as a working partner and the one who simply invests the money is a sleeping partner
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Partnership - Question and Answers
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Question 1 |
A, B and C invest Rs. 50000, Rs.30000 and Rs.20000 in a business respectively. If the profit earned is Rs. 20000, find C’s share of the profit?
Rs.10000 | |
Rs. 6000 | |
Rs. 4000 | |
Rs.2000 |
Question 1 Explanation:
Share of profits between A,B and C is in the ratio 5:3:2
C’s share = (2/10)*20000 = Rs.4000
C’s share = (2/10)*20000 = Rs.4000
Question 2 |
A and B invest Rs.50000 and Rs.75000 in a business respectively. B withdraws the mount after 8 months. If the profit earned after a year is Rs.30000, find B’s share of the profit?
Rs. 12000 | |
Rs. 15000 | |
Rs. 15000 | |
Rs. 20000 |
Question 2 Explanation:
Share of profits between A and B is in the ratio
50000 * 12:75000*8 = 1:1
B’s share = ½ * 30000 = Rs.15000
50000 * 12:75000*8 = 1:1
B’s share = ½ * 30000 = Rs.15000
Question 3 |
A and B invest Rs.150000 and Rs. 200000 in a business respectively. A withdraws an amount of Rs.50000 after 6 months .B withdraws an amount of Rs.50000 after 8 months. If the profit earned is Rs. 74000, find A’s share of the profit?
Rs.5000 | |
Rs. 13000 | |
Rs.30000 | |
Rs. 40000 |
Question 3 Explanation:
A:B =[(150000*6)+(100000*6)] : [(200000*8)+(150000*4)]
= 15:22
A’s share = (15/37)*74000 = Rs. 30000
= 15:22
A’s share = (15/37)*74000 = Rs. 30000
Question 4 |
A start a business investing Rs.40000.B joins him after 4 months. After a year, they divide the profit earned in the ratio of 6:5. How much did B invest?
Rs. 50000 | |
Rs. 48000 | |
Rs. 45000 | |
Rs.60000 |
Question 4 Explanation:
[(12*40000)/8x] = 6/5
Solving the equation, x = Rs. 50000
Solving the equation, x = Rs. 50000
Question 5 |
A, B , C share the profits earned after a year in the ratio of 6:8:9. A was a full-time partner. B had partnered for 4 months and C had partnered for 6 months. Find the ratio of their investments?
6:8:9 | |
6:8:9 | |
4:2:9 | |
1:4:3 |
Question 5 Explanation:
A*12: B*4:C*6 = 6:8:9
A: B: C = (6/12) : (8/4) : (9/6)
= 1:4:3
A: B: C = (6/12) : (8/4) : (9/6)
= 1:4:3
Question 6 |
Arun started a company investing Rs.200000. After 8 months, Varun joined him with a capital of Rs. 120000. After 2 years, they earned a profit of Rs. 42000, what is varun’s share of the profit?
Rs.6000 | |
Rs. 12000 | |
Rs. 14000 | |
Rs. 30000 |
Question 6 Explanation:
Profits of arun and Varun are in the ratio 200000*24 : 120000*16 = 5:2
Varun’s share = (2/7)*42000 = Rs. 12000
Varun’s share = (2/7)*42000 = Rs. 12000
Question 7 |
A, B and C invest Rs.50000, Rs.75000 and Rs. 125000 in a business respectively. The profit earned is Rs.20000. Find the profit share of B
Rs. 2000 | |
Rs. 4000 | |
Rs. 6000 | |
Rs.10000 |
Question 7 Explanation:
Ratio of the share of A, B and C = 50000: 75000:12500
= 2:3:5
B’s share of profit = (3/10)*20000 = Rs. 6000
B’s share of profit = (3/10)*20000 = Rs. 6000
Question 8 |
A and B invest in a business in the ratio 3:2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is?
Rs.1900 | |
Rs.2850 | |
Rs. 1500 | |
Rs. 3800 |
Question 8 Explanation:
Let the total profit be Rs. x
0.05x goes to charity
Out of the remaining 95%
A’s share is 0.95x*3/5 = 0.57x = 855
X = Rs.1500
0.05x goes to charity
Out of the remaining 95%
A’s share is 0.95x*3/5 = 0.57x = 855
X = Rs.1500
Question 9 |
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.6500 for 6 months, B Rs.8400 for 5 months and C, Rs. 10,000 for 3 months. A is the only working partner and hence gets 8% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit?
Rs. 2800 | |
Rs. 1400 | |
Rs. 3700 | |
Rs. 2576 |
Question 9 Explanation:
A: B: C = (6500*6) : (8400*5) : (10000*3)
= 13: 14:10
8% goes to A
Of the remaining 92%, B’s share = 0.92*7400*14/37 = Rs. 2576
= 13: 14:10
8% goes to A
Of the remaining 92%, B’s share = 0.92*7400*14/37 = Rs. 2576
Question 10 |
A, B C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Rs. 45 | |
Rs. 0 | |
Rs. 55 | |
Rs. 60 |
Question 10 Explanation:
A:B:C = 70:60:45
70x+60x+45x = 175
X=1
C’s share = Rs.45
70x+60x+45x = 175
X=1
C’s share = Rs.45
Question 11 |
Ajay, Vijay and Sanjay hired a car for Rs.3000 and used it for 6, 4 and 10 hours respectively. Find the hire charges paid by ajay?
Rs. 600 | |
Rs. 750 | |
Rs. 900 | |
Rs. 1500 |
Question 11 Explanation:
A:V:S = 6:4:10
Charges paid by Ajay = 3000*(6/20) = Rs. 900
Charges paid by Ajay = 3000*(6/20) = Rs. 900
Question 12 |
A, B and C invest in a business. B invests Rs.5000 more than A and C invests Rs.5000 more than B. 4/9th of the total profit goes to C. Find the total capital invested in the business?
Rs. 10000 | |
Rs. 15000 | |
Rs. 25000 | |
Rs. 45000 |
Question 12 Explanation:
Let the amount of money invested by A be Rs.x
A:B:C = x:x+5000:x + 10000
C’s share = (x=10000) / (3x+15000) = 4/9
Solving the equation, x = Rs. 10000
3x+15000 = Rs. 45000
A:B:C = x:x+5000:x + 10000
C’s share = (x=10000) / (3x+15000) = 4/9
Solving the equation, x = Rs. 10000
3x+15000 = Rs. 45000
Question 13 |
A and B started a partnership business investing some amount in the ratio of 3:5. C joined them after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed mount A,B and C?
3:5:2 | |
3:5:5 | |
6:10:5 | |
None of these |
Question 13 Explanation:
A:B:C =(3x*12) : (5x*12) : (5x*6)
= 36x : 60x: 30x = 6:10:5
= 36x : 60x: 30x = 6:10:5
Question 14 |
P and Q starts a business. P invests Rs. 20000 more than Q. After a year, the total profit earned is Rs. 24000. Q earn Rs. 4000 less than P. How much did Q invest in the business?
Rs. 50000 | |
Rs. 60000 | |
Rs. 70000 | |
Rs. 80000 |
Question 14 Explanation:
Answer: Option A
Let the amount investment by Q be Rs.x and the profit earned by Q be Rs.y
P: Q =(x+20000):x
Y+y+4000 = 24000
Y = 10000
x/ (2x+20000) = (10000 /24000)
x = Rs. 50000
Let the amount investment by Q be Rs.x and the profit earned by Q be Rs.y
P: Q =(x+20000):x
Y+y+4000 = 24000
Y = 10000
x/ (2x+20000) = (10000 /24000)
x = Rs. 50000
Question 15 |
A start business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?
Rs. 7500 | |
Rs. 8000 | |
Rs. 8500 | |
Rs. 9000 |
Question 15 Explanation:
Let B’s contribution be Rs.x
A:B = (3500*12) : (x*7) = 2:3
Solving the equation, x = 9000
A:B = (3500*12) : (x*7) = 2:3
Solving the equation, x = 9000
Question 16 |
Ram and Raj started a business investing Rs. 200000 and Rs. 50000 respectively. In what ratio should they divide the profit earned?
2:5 | |
5:2 | |
4:1 | |
1:4 |
Question 16 Explanation:
The profits are divided in proportion to the investments
200000:50000 = 4:1
200000:50000 = 4:1
Question 17 |
Rahul starts a business investing Rs. 30000. After a year, Sunil joins him with a capital of Rs. 40000 and Tarun joins them after another year with Rs. 50000. The profit at the end of three years is Rs. 44000. Find Sunil’s share?
Rs. 22000 | |
Rs. 20000 | |
Rs. 16000 | |
Rs. 15000 |
Question 17 Explanation:
Ratio of their investment after 3 years = (30000*3) : (40000*2) : (50000)
= 9:8:5
Sunil’s share = (8/22)*44000
= Rs. 16000
= 9:8:5
Sunil’s share = (8/22)*44000
= Rs. 16000
Question 18 |
David, sam and james invest a total sum of Rs. 50000. The total profit earned was Rs. 4000, of which sam gets Rs. 2000 and james gets Rs. 800. Find the capital invested by David?
Rs. 15000 | |
Rs. 12000 | |
Rs. 18000 | |
Rs. 20000 |
Question 18 Explanation:
The profit earned by David = 4000 – (2000+800) = 1200
Ratio of profits = Ratio of capitals
David’s capital = (1200 /4000)*50000
= 15000
Ratio of profits = Ratio of capitals
David’s capital = (1200 /4000)*50000
= 15000
Question 19 |
A,B and C start a business with their investment i n the ratio 3:2:1. A leaves after 6 months and B leaves after 9 months. Find the ratio of their profits at the end of a year?
2:2:3 | |
3:3:2 | |
3:2:2 | |
3:2:2 |
Question 19 Explanation:
Ratio of their profits = (3*6) : (2*9) : (1*12)
= 18:18:12
= 3:3:2
= 18:18:12
= 3:3:2
Question 20 |
A starts a business with Rs. 30000. B joins after a few months with a capital of Rs. 40000. If the profits are shared equally after a year, After how months did B join?
3 | |
4 | |
5 | |
6 |
Question 20 Explanation:
If B joined after x months, the profits are shared in the ratio
(30000*12) : 40000*(12-x) = 1:1
30000*12 = 40000*(12-x)
3*12 = 4*(12-x)
48-4x= 36
4x=12
X=3
(30000*12) : 40000*(12-x) = 1:1
30000*12 = 40000*(12-x)
3*12 = 4*(12-x)
48-4x= 36
4x=12
X=3
Question 21 |
A, B and C rent a pasture. A grazed his 35 cows for 20 days, B grazed his 20 cows for 30 days and C grazed his 30 cows for 15 days. If A paid Rs. 1050 as rent, find the total rent paid by them?
Rs. 2625 | |
Rs. 1750 | |
Rs. 3500 | |
Rs. 2135 |
Question 21 Explanation:
Let the rent per cow per day be Rs.x
A’s rent = 35*20x
X=1.5
Total rent = 1050+600x+450x
= 1050+900+675
= Rs. 2625
A’s rent = 35*20x
X=1.5
Total rent = 1050+600x+450x
= 1050+900+675
= Rs. 2625
Question 22 |
P and Q starts a business investing Rs.25000 each. Q leaves after a few months. At the end of 2 years, the profit was divided in the ratio of 12:5. After how many months did Q leave?
5 | |
10 | |
12 | |
8 |
Question 22 Explanation:
Let B leave after x months
Profit share after 2 years
= 25000*24:25000*x
= 24:x = 12:5
X = 10
= 25000*24:25000*x
= 24:x = 12:5
X = 10
Question 23 |
X, Y and Z divide an amount of Rs. 11000 among themselves such that Z get half as much as Y and Y gets thrice as much as X. Find the total share of X and Y?
Rs. 6000 | |
Rs. 2000 | |
Rs. 8000 | |
Rs. 9000 |
Question 23 Explanation:
Y = 3x
Z = y/2 = 3x/2
X+y+z = 11000
X+3x+3x/2 = 11000
11x/2 = 11000
X = Rs.2000
Y = Rs.6000
X+Y = 8000
Z = y/2 = 3x/2
X+y+z = 11000
X+3x+3x/2 = 11000
11x/2 = 11000
X = Rs.2000
Y = Rs.6000
X+Y = 8000
Question 24 |
A and B enter into a partnership investing equal amounts. A doubled his capital after a year while B withdrew his capital after 1.5 years. Find the ratio of profit share after 2 years?
2:1 | |
3:2 | |
4:3 | |
4:2 |
Question 24 Explanation:
1.5 years = 18 months
Let the amount invested by them be Rs.x
A:B = [(x*12)+(2x*12):[x*18]
= 36x: 18x
= 36:18
= 2:1
Let the amount invested by them be Rs.x
A:B = [(x*12)+(2x*12):[x*18]
= 36x: 18x
= 36:18
= 2:1
Question 25 |
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 4 months, A withdrew his capital while B added Rs. 4000 to his capital. After 2 more months, C joins the business with a capital of Rs. 20000. Out of a total profit of Rs. 22500, find C’s share?
Rs. 11000 | |
Rs. 9000 | |
Rs. 7500 | |
Rs. 4800 |
Question 25 Explanation:
A withdrew after 4 months
C joined after 6 months
A:B:C = (16000*4) : [(12000*4) + (16000*8)] : (20000*6)
= 64:176:120
= 8:22:15
C’s share = (15/45)*22500 = Rs.7500
C joined after 6 months
A:B:C = (16000*4) : [(12000*4) + (16000*8)] : (20000*6)
= 64:176:120
= 8:22:15
C’s share = (15/45)*22500 = Rs.7500
Question 26 |
Harish and Rajesh invested a total amount of Rs. 58800 in a firm. If the ratio of their capaitals is 2:1, find the amount invested by Rajesh.
Rs. 39200 | |
Rs. 19600 | |
Rs. 19900 | |
Rs. 29400 |
Question 26 Explanation:
Amount invested by Rajesh = (1/3)*58800
= Rs. 19600
= Rs. 19600
Question 27 |
The profit earned from a firm is to be divided between A, B and C in the ratio of 3:5:2. If B’s share is Rs. 88900, Find C’s share?
Rs. 44450 | |
Rs. 53340 | |
Rs. 17780 | |
Rs. 35560 |
Question 27 Explanation:
Let the total profit be Rs.x
(5/10)*x = 88900
X= 177800
C’s share = (2/10)*177800
= Rs. 35560
(5/10)*x = 88900
X= 177800
C’s share = (2/10)*177800
= Rs. 35560
Question 28 |
Ram starts a business investing Rs. 60000. After 3 months, shyam joined him investing Rs. 75000. Find the ratio of profit shares after a year?
16:15 | |
4:5 | |
3:5 | |
11:15 |
Question 28 Explanation:
Ram : shyam
= (60000*12) : (75000*9) = 16:15
= (60000*12) : (75000*9) = 16:15
Question 29 |
James and George enter into a partnership investing 2590$ and 4810$ respectively. After 10 months, they decide to share the profit. Find the ratio of profit share.
7:13 | |
29:41 | |
11:17 | |
25:48 |
Question 29 Explanation:
Ratio of profit shares
= 2590 : 4810
= (7*370) : (13*370)
= 7:13
= 2590 : 4810
= (7*370) : (13*370)
= 7:13
Question 30 |
A, B and C start a business investing a total amount of Rs.7,50,000 . B left the business after 16 months and C left 4 months after B. After 2 years, the total price earned is Rs. 3,80,000. If A invested Rs.50,000 more than B and B invested Rs.50,000 more than C, find A’s share of the profit?
Rs. 1,70,000 | |
Rs. 85000 | |
Rs. 1,80,000 | |
Rs.1,90,000 |
Question 30 Explanation:
A =B+50000
B=C+50000
A+B+C = 750000
B+50000+B+B-50000 = 750000
B = 250000
A=300000
C=200000
Ratio of profit share = (30*24) : (25*16) : (20*20)
= 720:400:400
= 9:5:5
A’s share = (9/19)*380000
= Rs. 1,80,000
B=C+50000
A+B+C = 750000
B+50000+B+B-50000 = 750000
B = 250000
A=300000
C=200000
Ratio of profit share = (30*24) : (25*16) : (20*20)
= 720:400:400
= 9:5:5
A’s share = (9/19)*380000
= Rs. 1,80,000
Question 31 |
Simran started a software business by investing Rs. 50,000. After six months, nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was simran’s share in the profit?
Rs. 10500 | |
Rs. 15000 | |
Rs. 50001 | |
Rs. 11000 |
Question 31 Explanation:
Simran : Nanda = (50000 x 36) : (80000 x 30) = 3:4
Simran’s share = Rs. 24500 x (3/7) = Rs. 10,500
Simran’s share = Rs. 24500 x (3/7) = Rs. 10,500
Question 32 |
Arun, Kamal and vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of kamal?
Rs. 980 | |
Rs. 890 | |
Rs. 908 | |
Rs. 809 |
Question 32 Explanation:
Arun : Kamal : Vinay = (8000 x 6) : (4000 x 8) : (8000 x 8)
= 48 : 32 :64
= 3:2 :4
Kamal’s share = Rs. 4005 x(2/9)
= Rs. 890
= 48 : 32 :64
= 3:2 :4
Kamal’s share = Rs. 4005 x(2/9)
= Rs. 890
Question 33 |
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
15:16:12 | |
12:16:15 | |
12:15:16 | |
15:12:16 |
Question 33 Explanation:
Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24)
= 12 : 15 : 16
= 12 : 15 : 16
Question 34 |
A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3:1?
9 months | |
6 months | |
7 months | |
8 months |
Question 34 Explanation:
Suppose B joined for x months. Then,
(85000 x 12) / (42500 x X) = 3/1
X = (85000 x 12) / (42500 x 3) = 8
So, B joined for 8 months
(85000 x 12) / (42500 x X) = 3/1
X = (85000 x 12) / (42500 x 3) = 8
So, B joined for 8 months
Question 35 |
A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Rs. 7500 | |
Rs. 5700 | |
Rs. 7005 | |
Rs. 5007 |
Question 35 Explanation:
A:B:C = (20,000 X 24) : (15,000 X 24) : (20,000 X 18)
= 4: 3: 3
B’s share = Rs. 25000 x (3/10)
= Rs. 7,500
= 4: 3: 3
B’s share = Rs. 25000 x (3/10)
= Rs. 7,500
Question 36 |
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
Rs. 50 | |
Rs. 45 | |
Rs. 55 | |
Rs. 54 |
Question 36 Explanation:
A:B:C = (10 x 7) : (12 x 5) : (15 x 3) = 70: 60 :45 = 14 :12 : 9
C’s rent = Rs. 175 x(9/35) = Rs. 45
C’s rent = Rs. 175 x(9/35) = Rs. 45
Question 37 |
A and B started a partnership business investing some amount in the ratio of 3:5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one years be distributed among A, B and C?
06:05:10 | |
10:06:05 | |
06:10:05 | |
10:06:05 |
Question 37 Explanation:
Let the initial investment of A and B be 3x and 5x
A:B:C = (3x X 12) : (5x X 12) : (5x X 6) = 36:60:30 = 6:10:5
A:B:C = (3x X 12) : (5x X 12) : (5x X 6) = 36:60:30 = 6:10:5
Question 38 |
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?
6000 | |
7000 | |
8000 | |
9000 |
Question 38 Explanation:
Let B’s capital be Rs. x
Then,(3500 x 12) / 7x = 2/3
14x = 126000
X = 9000
Then,(3500 x 12) / 7x = 2/3
14x = 126000
X = 9000
Question 39 |
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
Rs. 14700 | |
Rs. 71400 | |
Rs. 14007 | |
Rs. 74100 |
Question 39 Explanation:
Let C = x
Then, B = x+5000 and A = x+5000+4000 = x+9000
So, x+x+5000 +x+9000 = 50000
3x = 36000
X= 12000
A:B:C = 21000 : 17000 : 12000 = 21:17 :12
A’s share = Rs.35000 x(21/50) Rs. 14,700
Then, B = x+5000 and A = x+5000+4000 = x+9000
So, x+x+5000 +x+9000 = 50000
3x = 36000
X= 12000
A:B:C = 21000 : 17000 : 12000 = 21:17 :12
A’s share = Rs.35000 x(21/50) Rs. 14,700
Question 40 |
A , B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B , Rs. 8400 for 5 months and C, Rs. 10,000 for 3months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in
Rs. 6206 | |
Rs. 6260 | |
Rs. 2606 | |
Rs. 2660 |
Question 40 Explanation:
For managing, A received = 5% of Rs.7400 = Rs. 370
Balance = Rs. (7400 - 370) = Rs. 7030
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x3)
= 39000 :42000 :30000
= 13:14:10
B’s share = Rs. 7030 x (14/37)
= Rs.2660
Balance = Rs. (7400 - 370) = Rs. 7030
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x3)
= 39000 :42000 :30000
= 13:14:10
B’s share = Rs. 7030 x (14/37)
= Rs.2660
Question 41 |
A and B entered into a partnership investing Rs. 16000 and Rs. 12000 respectively. After 3 months, A withdrew Rs. 5000 while B invested Rs. 5000 more?
Rs. 6003 | |
Rs. 6300 | |
Rs. 3600 | |
Rs. 3006 |
Question 41 Explanation:
A:B:C= 16000*3 + 11000 *9 :12000 *3 + 17000*9 :21000*6
= 147:189:126 = 7:9:6
Difference of B and C’s shares = Rs. [26400 * (9/22) – 26400 *(6/22))
= Rs. 3600
Difference of B and C’s shares = Rs. [26400 * (9/22) – 26400 *(6/22))
= Rs. 3600
Question 42 |
Arun , Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
Rs. 980 | |
Rs. 908 | |
Rs. 890 | |
Rs. 809 |
Question 42 Explanation:
Arun: Kamal: Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48:32:64
= 3:2:4
Kamal’s share = 4005*(2/9) = Rs. 890
= 48:32:64
= 3:2:4
Kamal’s share = 4005*(2/9) = Rs. 890
Question 43 |
P and q started a business investing Rs. 85000 and Rs. 15000 resp. In what ratio the profit earned after 2 years be divided between P and Q respectively.
3:16 | |
3:17 | |
4:17 | |
17:4 |
Question 43 Explanation:
In this type of question as time frame for both investors is equal then just get the ratio of their investments
P:Q = 85000 : 15000
= 85 :15
= 17:3
P:Q = 85000 : 15000
= 85 :15
= 17:3
Question 44 |
In business, A and C invested amounts in the ratio 2:1, whereas the ratio between amounts invested by A and B was 3:2. If Rs. 157300 was their profit, how much amount did B receive?
Rs. 44008 | |
Rs. 44800 | |
Rs. 48005 | |
Rs. 48004 |
Question 44 Explanation:
A:B =3:2 = 6:4
A:C =2:1 = 6:3
A:B:C = 6:4:3
B share = (4/13)*157300
= 48400
A:C =2:1 = 6:3
A:B:C = 6:4:3
B share = (4/13)*157300
= 48400
Question 45 |
Yogesh started a business investing Rs. 45000. After 3 months, Pranab joined him with a capital of Rs. 60000. After another 6 months, Atul joined them with a capital of Rs. 90000.
Rs. 3000 | |
Rs. 6000 | |
Rs. 5000 | |
Rs. 4000 |
Question 45 Explanation:
Just take care of the months of investment, rest all will be simple
Yogesh: Pranab: Atul = 45000*12:60000*9: 90000*3
= 2:2:1
Atul’s share = Rs. 20000 *(1/5)
= Rs. 4000
= 2:2:1
Atul’s share = Rs. 20000 *(1/5)
= Rs. 4000
Question 46 |
Manoj received Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Ramesh earned at the end of one year. If manoj invested Rs. 120000 for 6 months, whereas Ramesh invested his amount for the whole year, what was the amount invested by Ramesh?
Rs. 4500 | |
Rs. 3500 | |
Rs. 6000 | |
Rs. 5000 |
Question 46 Explanation:
Suppose Ramesh invested Rs. x
Then, Manoj : Ramesh = 20000 *6 😡 * 12
120000/12x : 6000/3000
X = 120000/24 = 5000
Then, Manoj : Ramesh = 20000 *6 😡 * 12
120000/12x : 6000/3000
X = 120000/24 = 5000
Question 47 |
A,B and C invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively. In a business, A left six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of B?
Rs. 980 | |
Rs. 988 | |
Rs. 890 | |
Rs. 891 |
Question 47 Explanation:
A:B:C = (8000*6) : (4000*8) : (8000*8)
= 48 : 32 :64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
= 48 : 32 :64
= 3:2:4
So B share = (2/9)*4005 = Rs 890
Question 48 |
A started a business with Rs. 21,000 and is joined afterwards by B with Rs. 36,000. After how many months did B join if the profits at the end of the year are divided equally?
4 | |
5 | |
8 | |
6 |
Question 48 Explanation:
Suppose B joined after x months then,
21000*12 = 36000*(12-x)
=>36x = 180
=> x = 5
21000*12 = 36000*(12-x)
=>36x = 180
=> x = 5
Question 49 |
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800. Deepak’s share is?
Rs. 4080 | |
Rs. 4008 | |
Rs. 8004 | |
Rs. 8400 |
Question 49 Explanation:
Ratio of their shares = 22500 : 35000
= 9:14
Deepak’s share = Rs.(13800 x 14/23)
= Rs. 8400
= 9:14
Deepak’s share = Rs.(13800 x 14/23)
= Rs. 8400
Question 50 |
Rs. 700 is divided among A,B and C so that A receives half as much as B and B half as much as C. Then C’s share is?
350 | |
300 | |
400 | |
350 |
Question 50 Explanation:
Let C = x
Then B = x/2
And A = x/4
A:B:C = 1:2:4
C’s share Rs. [(4/7)*700] = 400
Then B = x/2
And A = x/4
A:B:C = 1:2:4
C’s share Rs. [(4/7)*700] = 400
Question 51 |
A and B started Business in Partnership investing Rs. 20, 000 and Rs. 15, 000 respectively. After six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
Rs. 7500 | |
Rs. 8000 | |
Rs. 9000 | |
None of these |
Question 51 Explanation:
A:B:C =(2000*24): (15000*24)
(20000*18) = 4:3:3
B’s share = 25000 * 3/10
= Rs. 7500
(20000*18) = 4:3:3
B’s share = 25000 * 3/10
= Rs. 7500
Question 52 |
X and Y started a business with capitals Rs.20000 and Rs.25000. After few months Z joined them with a capital of Rs.30000. If the share of Z in the annual profit of Rs.50000 is Rs.14000, then after how many months from the beginning did Z join?
3 | |
4 | |
5 | |
6 |
Question 52 Explanation:
Investments of X,Y and Z respectively are Rs.20000, Rs.25000 and Rs.30000
Let investment period of Z be x months
Ratio of annual investment of X,Y and Z is (20000*12) : (25000*12) : (30000*x)
The share of Z in the annual profit of Rs.50000 is Rs. 14000
[x/(18+x)] 50000 = 14000 => [x/(18+x)] 25 = 7
25x=7x +(18*7) => x=7 moths
Z joined the business after (12-7)months
i.e.., 5 months
= 240 : 300 : 30x = 8:10: x
Let investment period of Z be x months
Ratio of annual investment of X,Y and Z is (20000*12) : (25000*12) : (30000*x)
The share of Z in the annual profit of Rs.50000 is Rs. 14000
[x/(18+x)] 50000 = 14000 => [x/(18+x)] 25 = 7
25x=7x +(18*7) => x=7 moths
Z joined the business after (12-7)months
i.e.., 5 months
= 240 : 300 : 30x = 8:10: x
Question 53 |
A,B,C enter into a partnership investing Rs.35,000, Rs.45,000 and Rs.55,000 respectively. The respective shares of A,B,C in annual profit of Rs.40,500 are?
Rs. 10,500, Rs.13, 500, Rs.16,500 | |
Rs.11, 500, Rs.13, 000, Rs.16,000 | |
Rs.11, 000, Rs. 14,000, Rs.15,500 | |
Rs 11,500, Rs.12, 500, Rs.16,500 |
Question 53 Explanation:
A:B:C = 35000: 45000 : 55000 = 7:9:11
A’s share = 40500*7/27 = Rs.10500
B’s share = 40500*9/27 = Rs. 13500
C’s share = 40500*11/27 = Rs. 16500
A’s share = 40500*7/27 = Rs.10500
B’s share = 40500*9/27 = Rs. 13500
C’s share = 40500*11/27 = Rs. 16500
Question 54 |
A,B and C started a business with capitals of Rs.8000, Rs.10000 and Rs.12000 respectively. At the end of the year, the profit share of B is Rs.1500. The difference between the profit shares of A and C is?
Rs.300 | |
Rs.400 | |
Rs.500 | |
Rs.600 |
Question 54 Explanation:
Ratio of investments of A,B and C is 8000:10000:12000 = 4:5:6
And also given that, profit share of B is Rs.1500
And also given that, profit share of B is Rs.1500
Question 55 |
P and Q started a business with respective investments of Rs. 4 lakhs and Rs.10 lakhs. As P runs the business, his salary is Rs.5000 per month. If they earned a profit of Rs.2 lakhs at the end of the year, then find the ratio of their earnings?
1:1 | |
2:5 | |
2:5 | |
5:2 |
Question 55 Explanation:
Ratio of investments of P and Q is 2 : 5
Total salary claimed by P = 12*5000 = Rs.60000
Total profit = Rs. 2 lakhs
Profit is to be shred = Rs. 140000
Share of p =(2/7) * 140000 = Rs. 400000
Share of Q = Rs.100000
Total earning of P = (60000 + 40000) = Rs. 100000
Ratio of their earnings = 1:1
Total salary claimed by P = 12*5000 = Rs.60000
Total profit = Rs. 2 lakhs
Profit is to be shred = Rs. 140000
Share of p =(2/7) * 140000 = Rs. 400000
Share of Q = Rs.100000
Total earning of P = (60000 + 40000) = Rs. 100000
Ratio of their earnings = 1:1
Question 56 |
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, Find their shares?
Rs.8000, Rs.17000 | |
Rs.9000, Rs.16000 | |
Rs.18000, Rs.7000 | |
Rs.10000, Rs.15000 |
Question 56 Explanation:
The ratio of their profits A:B = 8:12 = 2:3
Share of A in the total profit = 2/5 * 25000 = Rs. 10000
Share of B in the total profit = 3/5*25000 = Rs.15000
Share of A in the total profit = 2/5 * 25000 = Rs. 10000
Share of B in the total profit = 3/5*25000 = Rs.15000
Question 57 |
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:10. If P invested the money for 5 months, Find for how much time did Q invest the money?
7 months | |
9 months | |
10 months | |
11months |
Question 57 Explanation:
7*5:5*x= 7:10
X=10
X=10
Question 58 |
A and B rent a pasture for 10 months. A put in 80 cows for 7 months. How many can B put in for the remaining 3 months, if he pays half as much again as A?
120 | |
180 | |
200 | |
280 |
Question 58 Explanation:
80*7:x*3 = 1:1 ½
560: 3x= 2:3
X= 280
560: 3x= 2:3
X= 280
Question 59 |
A, B and C started a business in which A invested Rs.20000 for 2 years , B invested Rs.30000 for 3 years, C invested Rs.40000 for 4 years. At the end of the profit received by them is Rs.11, 600. What is B share?
3600 | |
5699 | |
6000 | |
5478 |
Question 59 Explanation:
A=Rs.20000 per 2 years
B=Rs.30000 per 3 years
C= Rs.40000 per 4 years
=(20000*2) : (30000*3) : (40000*4)
= 4:9:16
Total = 29 parts
1 part = 11,600 / 400
= Rs.400
B share = 9 part
= 400 * 9
= Rs.3600
B=Rs.30000 per 3 years
C= Rs.40000 per 4 years
=(20000*2) : (30000*3) : (40000*4)
= 4:9:16
Total = 29 parts
1 part = 11,600 / 400
= Rs.400
B share = 9 part
= 400 * 9
= Rs.3600
Question 60 |
Anil, Mukesh and Ritesh started a business by investing Rs.125000 Rs. 150000 and Rs.175000 respectively. Find the share of each, out of an annual profit of Rs.93, 600.
Rs.26000, Rs.31200, Rs.36400 | |
Rs.26000, Rs.31200, Rs.36400 | |
Rs.27007, Rs.25567, Rs.25672 | |
Rs. 36756, Rs.27655, Rs. 26000 |
Question 60 Explanation:
Ratio of share Anil, Mukesh and Ritesh = Ratio of their investment
Anil : Mukesh : Ritesh = 125000 : 150000 : 175000
= 5: 6:7
Anil share = Rs. [93600*(5/18)] = 26000
Mukesh share = Rs. [93600*(6/18)] = 31200
Ritesh share = Rs. [93600*(7/18)] = 36400
Anil : Mukesh : Ritesh = 125000 : 150000 : 175000
= 5: 6:7
Anil share = Rs. [93600*(5/18)] = 26000
Mukesh share = Rs. [93600*(6/18)] = 31200
Ritesh share = Rs. [93600*(7/18)] = 36400
Question 61 |
Narasimha, Madhu and pavan started a business by investing Rs.1.20, 000. Rs.1, 35, 000 and Rs.1,50,000 respectively. Find the stare of pavan, Out of an annual profit of Rs.56, 700?
16, 000 | |
21,000 | |
22, 000 | |
27, 000 |
Question 61 Explanation:
Ratio of their investments = 120000 : 135000 : 150000
8 : 9 :10
Share of pavan = (10/(8+9+10))*56700
= Rs. 21, 000
8 : 9 :10
Share of pavan = (10/(8+9+10))*56700
= Rs. 21, 000
Question 62 |
A,B and C started a business by investing Rs.120000, Rs. 135000 and Rs.150000 respectively. Find the share of each, Out of an annual profit of Rs.56700?
Rs. 16800, Rs.18900, Rs.21000 | |
Rs.17865, Rs.16786, Rs.32765 | |
Rs. 16543, Rs.17654, Rs.24567 | |
Rs.17654, Rs.35678, Rs.35678 |
Question 62 Explanation:
Ratio of shares of A, B and C = Ratio of their investments
= 120000: 135000:1 50000
= 8:9:10
Total ratio = 27
A’s share = Rs. [56700*(8/27)]
= Rs. (2100*8)
= Rs. 16800
B’s share = Rs. [56700*(9/27)]
= Rs. (2100*9)
= Rs. 18900
C’s share = Rs. [56700*(10/27)]
= Rs. (2100*10)
= Rs. 21000
= 120000: 135000:1 50000
= 8:9:10
Total ratio = 27
A’s share = Rs. [56700*(8/27)]
= Rs. (2100*8)
= Rs. 16800
B’s share = Rs. [56700*(9/27)]
= Rs. (2100*9)
= Rs. 18900
C’s share = Rs. [56700*(10/27)]
= Rs. (2100*10)
= Rs. 21000
Question 63 |
In a business, Lucky invests Rs.35, 000 for 8 months and manju invest Rs 42,000 for 10 months. Out of a profit of Rs.31,570. Find manju’s share?
Rs. 26788 | |
Rs. 67895 | |
Rs. 18942 | |
Rs. 18765 |
Question 63 Explanation:
Lucky: Manju = (35000*8) : (42000*10)
= 280000 : 420000= 2: 3
Total ratio = 5
Manju’s share = Rs. [(3/5)*31570]
= Rs. (3*6314)
= Rs. 18942
= 280000 : 420000= 2: 3
Total ratio = 5
Manju’s share = Rs. [(3/5)*31570]
= Rs. (3*6314)
= Rs. 18942
Question 64 |
Ramya started a business with Rs.45000. Janani joins in the business after 3 months with Rs.30000. What will be the ratio in which they should share the profit at the end of the year?
2:1 | |
1:2 | |
5:2 | |
2:4 |
Question 64 Explanation:
Ramya and janani share profit = Ratio of the investments mutipled by the time period
= (45000*12) : (30000*9)
= 540000:270000
= 54:27
= 2:1
= (45000*12) : (30000*9)
= 540000:270000
= 54:27
= 2:1
Question 65 |
A sum of money is to be distributed among A,B, C, D in the proportion of 5:2:4:3.If C gets Rs.1000 more than D, what is B’s share?
Rs.2000 | |
Rs.8000 | |
Rs.5432 | |
Rs.5432 |
Question 65 Explanation:
Let the shares of A,B,C and D be Rs.5x, Rs.2x, Rs.4x and Rs.3x respectively.
4x – 3x = 1000
X= 1000
B’s share = Rs.2x
= Rs. (2*1000)
= Rs. 2000
4x – 3x = 1000
X= 1000
B’s share = Rs.2x
= Rs. (2*1000)
= Rs. 2000
Question 66 |
A sum of Rs.427 is to be divided among A,B and C such that 3 times A’s share,4 times B’s share and 7 times C’s share are equal. Find the share of C?
Rs.96 | |
Rs.84 | |
Rs.97 | |
Rs.06 |
Question 66 Explanation:
Divide amount => 3A, 4B, 7C = k
A= K/3, B = K/4 and C = K/7
A:B: C= K/3 :K/4: K/7
= 28K: 21K: 12K
=28:21:12
C’s share = Rs. [427*(12/61)]
= Rs. (7*12)
= Rs. 84
A= K/3, B = K/4 and C = K/7
A:B: C= K/3 :K/4: K/7
= 28K: 21K: 12K
=28:21:12
C’s share = Rs. [427*(12/61)]
= Rs. (7*12)
= Rs. 84
Question 67 |
Three friends divide Rs.624 among themselves in the ratio (1/2) : (1/3) : (1/4). Find the share of third friend?
Rs.143 | |
Rs.187 | |
Rs.144 | |
Rs. 198 |
Question 67 Explanation:
Ratio = (1/2) : (1/3) : (1/4)
= 6:4:3
Share of third friend = Rs. (624*(3/13)) = Rs.144
= 6:4:3
Share of third friend = Rs. (624*(3/13)) = Rs.144
Question 68 |
Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, Find the share of each of the remaining persons increased?
1/7 | |
1/9 | |
2/3 | |
1/16 |
Question 68 Explanation:
Let x be the cost of the rental car.
When 8 persons share equally, share of one person = x/8
When 1 person withdraws and other 7 persons share equally, share of one person = x/7
Increase in the share = (x/7) –(x/8)
= (8x – 7x) /56
= (x/56)
Required fraction = (x/56) / (x/8)
= 1/7
When 8 persons share equally, share of one person = x/8
When 1 person withdraws and other 7 persons share equally, share of one person = x/7
Increase in the share = (x/7) –(x/8)
= (8x – 7x) /56
= (x/56)
Required fraction = (x/56) / (x/8)
= 1/7
Question 69 |
Arun started a business investing Rs.70000. Rakhi jained after six month with an amount of Rs.105000 and muthu joined them with Rs.1.4 lakhs after another six month. The amount of profit earned should be distributed in what ratio among Arun, Rakhi and Muthu respectively, 3 years after arun started the business?
12:15:16 | |
15:25:16 | |
18:14:12 | |
12:45:12 |
Question 69 Explanation:
Arun : Rakhi : Muthu = (70000*36) : (105000*30) : (140000*24)
= 2520000: 3150000: 3360000
= 252:315:336
= 12:15:16
= 2520000: 3150000: 3360000
= 252:315:336
= 12:15:16
Question 70 |
A and B invest Rs.50000 and Rs.75000 in a business respectively. B withdraws the amount after 8 months. If the profit earned after a year is Rs.30000, Find B’s share of the profit
Rs.12000 | |
Rs. 15000 | |
Rs.18000 | |
Rs.20000 |
Question 70 Explanation:
Share of profits between A and B is in the ratio
50000*12:75000*8 = 1:1 B’s share = ½ * 30000 = Rs.15000
50000*12:75000*8 = 1:1 B’s share = ½ * 30000 = Rs.15000
Question 71 |
A starts a business investing Rs.40000. B joins him after 4 months. After a year, they divide the profit earned in the ratio of 6:5. How much did B invest?
Rs.50000 | |
Rs. 48000 | |
Rs. 45000 | |
Rs.60000 |
Question 71 Explanation:
[(12*40000)/8x] = 6/5 Solving the equation, x= Rs. 50000
Question 72 |
A, B and C invest Rs.50000, Rs.75000 and Rs.125000 in a business respectively. The profit earned is Rs.20000.Find the profit share of B?
Rs. 2000 | |
Rs. 4000 | |
Rs. 6000 | |
Rs. 10000 |
Question 72 Explanation:
Ratio of the share of A,B and C
= 50000:75000:12500 = 2:3:5 B’s share of profit = (3/10)*20000
= Rs. 6000
= 50000:75000:12500 = 2:3:5 B’s share of profit = (3/10)*20000
= Rs. 6000
Question 73 |
Ajay, Vijay and Sanjay hired a car for Rs.3000 and used it for 6,4 and 10 hours respectively. Find the hire charge paid by Ajay?
Rs.600 | |
Rs.750 | |
Rs.900 | |
Rs.1500 |
Question 73 Explanation:
A:V:S = 6:4:10 charges paid by Ajay = 3000*(6/20) = Rs.900
Question 74 |
A,B and C invest in a business. B invests Rs.5000 more than A and C invests Rs. 5000 more than B. 4/9th of the total profit goes to C. Find the total capital invested in the business?
Rs.10000 | |
Rs. 15000 | |
Rs.25000 | |
Rs.45000 |
Question 74 Explanation:
Let the amount of money invested by A be Rs.x
A:B:C = x:x:5000:x+10000
C’s share = (x +10000) / (3x +15000) = 4/9
Solving the equation, x = Rs.10000
3x +15000 =Rs.45000
A:B:C = x:x:5000:x+10000
C’s share = (x +10000) / (3x +15000) = 4/9
Solving the equation, x = Rs.10000
3x +15000 =Rs.45000
Question 75 |
A starts business with Rs.3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?
Rs.7500 | |
Rs.8000 | |
Rs. 8500 | |
Rs.9000 |
Question 75 Explanation:
Let B’s contribution be x
A:B = (3500*12) : (x*7) = 2:3
By solving the equation, X = 9000
A:B = (3500*12) : (x*7) = 2:3
By solving the equation, X = 9000
Question 76 |
Ram and Raj started a business investing Rs.200000 and Rs.50000 respectively. In what ratio should they divide the profit earned?
2:5 | |
5:2 | |
4:1 | |
1:4 |
Question 76 Explanation:
The profit are divided in proportion to the investments 200000 : 50000 = 4:1
Question 77 |
P and Q starts a business investing Rs.25000 each. Q leaves after a few months. At the end of 2 years, the profit was divided in the ratio of 12:5. After how many months did Q leave?
5 | |
10 | |
12 | |
8 |
Question 77 Explanation:
Let B leave after x months
Profit share after 2 years = 25000*25:25000*x= 24:x = 12:5
X=10
Profit share after 2 years = 25000*25:25000*x= 24:x = 12:5
X=10
Question 78 |
A and B enter into a partnership invest ing equal amounts. A doubled his capital after a year while B withdrew his capital after 1.5 years. Find the ratio of profits share after 2 years?
2:1 | |
3:2 | |
4:3 | |
3:1 |
Question 78 Explanation:
1.5 years = 18 months
Let the amount invested by them be Rs.x
A:B = [(x*12)+(2x*12)] : [x*18]
=>36x: 18x
=> 36:18
=> 2:1
Let the amount invested by them be Rs.x
A:B = [(x*12)+(2x*12)] : [x*18]
=>36x: 18x
=> 36:18
=> 2:1
Question 79 |
A man started a business investing Rs.70, 000. Rakhi joined after six months with an amount of Rs.1, 05,000 and Sagar joined them with Rs.1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively?
5:6:7 | |
12:15:16 | |
42:45:56 | |
none of these |
Question 79 Explanation:
Aman: Rakhi: Sagar = (7000 * 36) : (105000 *30) : (140000*24)
= 12:15:16
Question 80 |
A and B invest Rs. 3000 and Rs. 4000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year’s profit?
9:8 | |
9:10 | |
8:9 | |
10:9 |
Question 80 Explanation:
(3*6+6*6) : (4*12)
54:48 => 9:8
54:48 => 9:8
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