Partnership | Aptitude Questions and Answers | Aptitude Free Online-Tests | LucentBlackBoard

01.

A and B together start a business, Subscribing Rs 3600 and 3400 respectively. A being a sleeping partner, B manages the business and receives 8 1/3% of the profits for his extra labour and the remainder is divided by them. Find the share of each in profit of Rs 2100

A.	Rs 920, Rs 710	B.	Rs 890, Rs 410
C.	Rs 990, Rs 1110	D.	Rs 290, Rs 310

Answer and Explanation

Answer: Rs 990, Rs 1110

Explanation:
B’s salary = (25/300)2100 = Rs 175
Profit to be distributed = Rs (2100 – 175) = Rs 1925
A and B get Rs 3600x and Rs 3400x respectively
3600x + 3400x = 1925 => x = 11/40
A gets Rs (11/40)3600 = Rs 990
B gets Rs 175 + Rs (11/40) 3400 = Rs 1110

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02.

A B and C entered into a partnership A invested Rs 6500 for 6 months, B invested Rs 8400 for 5 months and C invested Rs 10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of each in a total profit of Rs 7400

A.	Rs 840, Rs 660, 900	B.	Rs 1840, Rs 1660, 1900
C.	Rs 2840, Rs 2660, 1900	D.	Rs 2840, Rs 2660, 2900

Answer and Explanation

Answer: Rs 2840, Rs 2660, 1900

Explanation:
A’s salary = (5/100)7400 = Rs 370
Profit to be distributed = Rs (7400 - 370) = Rs 7030
A,B,C get Rs 6500(6x) + 8400(5x) + 10000(3x) respectively
6500(6x) + 8400(5x) + 10000(3x) = 7030 => x = (703/11100)
A gets Rs 370 + 6500(6)(703/11100) = Rs 2840
B gets Rs 8400(5)(703/11100) = Rs 2660
C gets Rs 1000(3)(703/11100) = Rs 1900

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03.

A, B and C are partners in a business. Their shares are in the proportion 1/3:1/4:1/5. A withdraws half his capital at the end of 15 months and after 15 months more a profit of Rs 4340 is divided. Find the share of each.

A.	Rs.1550, Rs.1550, Rs.1240	B.	Rs.550, Rs.550, Rs.240
C.	Rs.155, Rs.155, Rs.124	D.	Rs.150, Rs.150, Rs.140

Answer and Explanation

Answer: Rs.1550, Rs.1550, Rs.1240

Explanation:
A gets (1/3)15x + (1/6)15x
B gets (1/4)30x
C gets (1/5)30x
(1/3)15x + (1/6)15x + (1/4)30x +(1/5)30x = 4340
X = (620/3)
A gets Rs 1550
B gets Rs 1550
C gets Rs 1240

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04.

A, B and C rented a house together for 2 years at Rs 360 yearly rent. They remained together for 5 months and then C left. After 4 months more B also left. How much rent should each pay?

A.	Rs 65, Rs 115, Rs 55	B.	Rs 360, Rs 180, Rs 40
C.	Rs 160, Rs 130, Rs 70	D.	Rs 560, Rs 110, Rs 50

Answer and Explanation

Answer: Rs 560, Rs 110, Rs 50

Explanation:
Month rent Rs 30
For the first five months A, B C pay Rs 50 each
For the next four months A and B pay Rs 60 each
For the remaining 15 months A pays Rs 450
A pays Rs (50 + 60 + 450) = Rs 560
B pays Rs (50 + 60) = Rs 110
C pays Rs 50

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05.

A, B and C rent a pasture for a year. A puts in 500 sheep for the first half of the year, B 750 sheep for the second half, and C 400 sheep all the year round. If the feed in the first half of the year is considered to be worth twice as much as in the second half of the year, find what fractional part of the rent each person ought to pay.

A.	7/53, 12/39, 14/80	B.	20/59, 15/59, 24/59
C.	20/30, 15/18, 24/53	D.	20/25, 15/69, 33/49

Answer and Explanation

Answer: 20/59, 15/59, 24/59

Explanation:
A B C1 C2
Sheep(s) 500 750 400 400
Period (P) 6 6 6 6
Factor 2 1 2 1
Rent to be shared in the ratio (1000)6 : 750 (6)[(2400)2 + (2400)1]
i.e. 6000:4500:7200 i.e. 20:15:24
A pays 20/59, B pays 15/59, C pays 24/59

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06.

A, B and C are partners. A receives 2/3 of the profits, B and C dividing the remainder equally. A’s income is increased by Rs 200 when the rate of profit rises from 5 to 7 percent of total capital. Find the capital of B

A.	Rs 5500	B.	Rs 3000
C.	Rs 500	D.	Rs 2500

Answer and Explanation

Answer: Rs 2500

Explanation:
A, B, C receive 2/3, 1/6 and 1/6 respectively
i.e. profits are divided in the ratio 4:1:1
∴capitals are in the ratio 4:1:1
Let capital invested by A be 4x
A’s earlier profit 4*(5/100)
A’s new profit 4*(7/100)
4*(7/100) – 4*(5/100) = 200
X = 2500. Capitals A,B,C are Rs 10000, Rs 2500, Rs 2500 respectively

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07.

A , B and C enter into partnership and decide to contribute the total capital of Rs 12000 in the following manner. A will contribute 25 percent of the total capital, B’s contribution will be 80 percent of C’s contribution which is 50 percent of the contribution of A and C together. What amount will each contribute towards the capital?

A.	Rs 1000,Rs 2000, Rs 3000	B.	Rs 3000,Rs 4000, Rs 5000
C.	Rs 8000,Rs 5000, Rs 3000	D.	Rs 5500,Rs 3500, Rs 7500

Answer and Explanation

Answer: Rs 3000,Rs 4000, Rs 5000

Explanation:
A contributes Rs (25/100)12000 = Rs 3000
C contributes Rs x
B contributes Rs (80/1000)x = (50/100)(x + 3000) = >x = 5000
A,B,C contributes Rs 3000,Rs 4000, Rs 5000 respectively

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08.

Three men are employed to do a piece of work. They work respectively 8, 9 and 10 hours a day, receive the same hourly wage. After three days, each works an hour more and receives proportionately increased wages and at the end of three days from that time, the work is completed. The whole sum paid to them is Rs 45.60. How much of it should each receive?

A.	Rs 13.60, Rs 15.20, Rs 16.80	B.	Rs 10.60, Rs 9.20, Rs 7.80
C.	Rs 7.60, Rs 6.20, Rs 3.80	D.	Rs 12.60, Rs 9.20, Rs 8.80

Answer and Explanation

Answer: Rs 13.60, Rs 15.20, Rs 16.80

Explanation:
Total hours of each:
Man1 = 3*8 + 3*9 = 51
Man2 = 3*9 + 3*10 = 67
Man3 = 3*10 + 3*11 = 63
The wages should be shared in the ratio
51:57:63 = 17:19:21
Man1 receives (17/57)(45.60) = Rs 13.60
Man2 receives (19/57)(45.60) = Rs 15.20
Man3 receives (21/57)(45.60) = Rs 16.80

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09.

P and q started a business in which p invested rs 10,000 and q invested rs 20,000. They received a profit of rs 9,600 at the end of the year. Find q’s share in the profit

A.	Rs 8,000	B.	Rs 6,400
C.	Rs 4,800	D.	Rs 3,200

Answer and Explanation

Answer: Rs 6,400

Explanation:
Ratio of the profits of p and q = ratio of investments of p and q = 1:2
Q’s profit = 2/3(9,600) = rs 6,400

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10.

Mehata, mehra and mihir start a business with investments in the ratio 1:2:3. They make a profit of rs 6,00,000. If mihir and mehra leave after 4 months and 8 months resp., then what is mehta’s share of the total profit?

A.	Rs 1,20,000	B.	Rs 2,00,000
C.	Rs 2,40,000	D.	Rs 1,80,000
E.	Rs 1,60,000

Answer and Explanation

Answer: Rs 1,80,000

Explanation:
Investment ratio of mehata, mehra and mihir = 1:2:3
Ratio of time periods of mehata, mehra and mihir = 12:8:4 = 3:2:1
Profit would be distributed in ratio of (amount invested * time)
Here the ratio = 3:4:3
Mehta gets (3*60,00,000)/10 = 1,80,000

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