Quantitative Aptitude

Partnership

842 Questions
All Capital changes, admission, and withdrawal 249 Compound partnership and time-weighted capital 186 Absolute profit or percentage difference to ratio 126 Simple partnership 100 Working and sleeping partners 79 Retirement and gaining ratio 63 Interest on capital and fixed allowances 39

Partnership Questions

Multiple choice

Priya started a software business by investing Rs. 30,000. After six months, Prakash joined her with a capital of Rs. 40,000 and after 2 months of joining of Prakash, Anshu joined her with a capital of Rs. 50,000. After 4 years, they earned a profit of Rs. 3,20,000. What was the difference between Anshu's and Prakash's shares in the profit?

  1. Rs. 21,000

  2. Rs. 20,000

  3. Rs. 12,500

  4. Rs. 10,400

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratios: Priya (30k * 48 months) : Prakash (40k * 42 months) : Anshu (50k * 40 months) = 1440 : 1680 : 2000 = 36 : 42 : 50 = 18 : 21 : 25. Total parts = 64. Profit = 320000. One part = 5000. Difference between Anshu and Prakash = (25-21) * 5000 = 20000.

Multiple choice

Rene, Bob and Bill enter into a partnership. Rene invests 3 times as much as Bob invests, and Bob invests two-third of what Bill invests. At the end of the year, the profit earned is Rs. 3300. Calculate the share of Rene.

  1. Rs. 1300

  2. Rs. 1800

  3. Rs. 1900

  4. Rs. 1600

  5. Rs. 1200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Bob = 2/3 * Bill. Rene = 3 * Bob = 3 * (2/3 * Bill) = 2 * Bill. Ratio Rene:Bob:Bill = 2 : 2/3 : 1 = 6 : 2 : 3. Total parts = 11. Rene's share = (6/11) * 3300 = 1800.

Multiple choice

X, Y and Z enter into a partnership. X invests some amount at the beginning. Y invests thrice the amount invested by X after 5 months and Z invests twice the amount invested by X after 6 months. They earn a profit of Rs. 60,000 at the end of the year. What is Z's share in the profit?

  1. Rs. 20,000

  2. Rs. 16,000

  3. Rs. 15,000

  4. Rs. 12,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratio: X(12) : Y(3*X*7) : Z(2*X*6) = 12 : 21 : 12 = 4 : 7 : 4. Total parts = 15. Z's share = (4/15) * 60000 = 16000.

Multiple choice

A, B and C invested Rs. 25,000, Rs. 30,000 and Rs. 40,000 in a business, respectively. After 4 months A withdrew his capital, and after 2 more months B invested Rs. 10,000. At the end of the year they got a profit of Rs. 20,400. Find the share of A in the profit.

  1. Rs. 8000

  2. Rs. 2040

  3. Rs. 4000

  4. Rs. 5420

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A's investment: 25000 * 4 = 100,000. B's: 30000 * 6 + 40000 * 6 = 180,000 + 240,000 = 420,000. C's: 40000 * 12 = 480,000. Ratio A:B:C = 10:42:48 = 5:21:24. Total = 50 parts. A's share = (5/50) * 20400 = 2040.

Multiple choice

Three friends, Sam, Michael and Puma went to a restaurant for lunch. Sam had \$100 with him, Michael had \$60 and Puma had \$40. They got a bill for \$104 and paid $16 as tip. They shared the total expenses in the ratio of the amounts of money each carried. If A is the difference between amount of money paid by Sam and Michael, and B is the difference between amount of money paid by Michael and Puma, then find the value of A : B.

  1. 3 : 2

  2. 2 : 1

  3. 1 : 2

  4. 5 : 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total money = 100+60+40 = 200. Total cost = 104+16 = 120. Ratio of contribution is 100:60:40 = 5:3:2. Total parts = 10. Each part = 120/10 = 12. Sam pays 5*12=60, Michael 3*12=36, Puma 2*12=24. A = 60-36=24. B = 36-24=12. A:B = 24:12 = 2:1.

Multiple choice

Rahul and Modi jointly started a dairy business. Rahul put four times as much money as Modi did, and invested his money for double the time than Modi did. If Modi's share in the profit was Rs. 54,000, then what was the total profit made?

  1. Rs. 4,50,000

  2. Rs. 4,86,000

  3. Rs. 5,20,000

  4. Rs. 5,55,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Investment ratio: Rahul = 4*Modi_money * 2*Modi_time = 8 units. Modi = 1*Modi_money * 1*Modi_time = 1 unit. Total profit ratio = 8:1. Modi's share = 54,000. Total profit = (8+1) * 54,000 = 9 * 54,000 = 4,86,000.

Multiple choice

A, B and C enter into a partnership. A invests Rs. x, B invests y% more than A, and C invests p/q times the total amount invested by A and B. p is 20% less than q. If C invests 200% more than A, then determine the ratio between the amounts invested by B and C, respectively.

  1. 11 : 12

  2. 12 : 11

  3. 11 : 13

  4. 13 : 11

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A=x, B=1.y*x, C=3x. Given p/q = 20% less than 1, so p/q = 0.8. Total A+B = x(1+1+y/100). C = 0.8 * (2+y/100)x = 3x. Solving for y gives y=175. Then B = 2.75x, C = 3x. Ratio B:C = 2.75:3 = 11:12.

Multiple choice

A and B enter into a partnership. A invests Rs. 16000 for 8 months and B remains in the business for 4 months. Out of a total annual profit, B claims 2/7th of the profit. The investment of B was

  1. 10500

  2. 11900

  3. 13600

  4. 12800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's investment = 16000 * 8 = 128000. Let B's investment be x. B's investment = x * 4 = 4x. Profit ratio = 128000 : 4x = 32000 : x. B's share = x / (32000 + x) = 2/7. 7x = 64000 + 2x, so 5x = 64000, x = 12800.

Multiple choice

Directions: Answer the given question based on the following information. Rajveer and Ranjan started a company by investing amounts of Rs. 48,000 and Rs. 36,000, respectively. After 3 months, Rajveer withdrew Rs. 15,000 from his share of investment, while Ranjan invested Rs. 15,000 more in the company. After 3 more months, Surya joined the company by investing Rs. 63,000. If after one year, the total profit of the company was Rs. 39,600, then by how much did the profit share of Ranjan exceed the profit share of Surya?

  1. Rs. 6300

  2. Rs. 8100

  3. Rs. 8400

  4. Rs. 5400

  5. Rs. 4800
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Directions: Study the following information carefully and answer the question that follows. In a business, three partners P, Q and R respectively invest Rs. 18,000, Rs. 16,000 and Rs. 10,000 as capitals. P and Q respectively receive 14% and 10% of the annual profits for services, and the remaining profits are divided among the three in proportion to their capitals. At the end of the year, P receives altogether Rs. 848 more than Q. What is the difference between the shares in the profit for P and Q excluding their share for services?

  1. Rs. 392.69

  2. Rs. 204.85

  3. Rs. 450.95

  4. Rs. 560.98

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The capital ratio of P, Q, and R is 9 : 8 : 5. After accounting for the service shares of P (14%) and Q (10%), the remaining 76% of the profit is shared in this ratio. Setting up the equation for the difference in their total shares (Rs. 848) allows us to find the total profit, from which the difference in their capital-based shares is calculated as Rs. 392.69.

Multiple choice

Directions: Study the following information carefully and answer the question that follows. In a business, three partners P, Q and R respectively invest Rs. 18,000, Rs. 16,000 and Rs. 10,000 as capitals. P and Q respectively receive 14% and 10% of the annual profits for services, and the remaining profits are divided among the three in proportion to their capitals. At the end of the year, P receives altogether Rs. 848 more than Q. Out of the shares P, Q and R received from the profit they have respectively invested 50%, 60% and 100% of the amount into another joint venture, which gives them a guarantee of 75% profit at the end of the year. How much amount would R receive at the end of the year as the share of the profit from this venture?

  1. Rs. 1250.89

  2. Rs. 1208.57

  3. Rs. 2359.60

  4. Rs. 1308.34

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Multiple choice

Three partners Murli, Gopi, and Kishan start a business by investing some amounts at the starting of the year. At the end of the year, the profit is to be divided between them in the ratio 3 : 4 : 7, respectively. If the total investment at the starting of the year is Rs. 2,80,000, then what would be the individual investment of all the three partners?

  1. Rs. 80,000, Rs. 60,000, Rs. 1,40,000

  2. Rs. 60,000, Rs. 80,000, Rs. 1,40,000

  3. Rs. 90,000, Rs. 90,000, Rs. 1,00,000

  4. Rs. 60,000, Rs. 1,00,000, Rs. 1,20,000

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The profit ratio is 3:4:7, which implies the investment ratio is also 3:4:7. Total parts = 3+4+7 = 14. Value of one part = 280,000 / 14 = 20,000. Investments are 3*20,000=60,000, 4*20,000=80,000, 7*20,000=140,000.