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

Gupta and Kohli start a business investing Rs. 7000 and Rs. 12,000, respectively. Gupta is the working partner, getting Rs. 250 per month as remuneration. How much does Gupta get for the full year, if the profit is Rs. 8700?

  1. Rs. 2100

  2. Rs. 5100

  3. Rs. 5600

  4. Rs. 6000

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

Ratio of investment = 7000:12000 = 7:12. Total profit = 8700. Gupta's remuneration = 250 * 12 = 3000. Remaining profit = 8700 - 3000 = 5700. Gupta's share = (7/19) * 5700 = 7 * 300 = 2100. Total = 2100 + 3000 = 5100.

Multiple choice

Mr. X and Mr. Y have 10 and 6 chapattis respectively. Mr. Z has nothing to eat. All the three share the chapattis equally, and Mr. Z pays Rs.32 as the cost of chapattis. What is the amount that Mr. Y gives?

  1. Rs.2

  2. Rs.4

  3. Rs.8

  4. Rs.12

  5. Rs.16
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total chapattis = 10 + 6 = 16. Each person eats 16/3 chapattis. Mr. Z eats 16/3. Mr. X gives 10 - 16/3 = 14/3. Mr. Y gives 6 - 16/3 = 2/3. Ratio of contribution is 14:2 = 7:1. Mr. Z pays 32 for 16/3 chapattis, so cost per chapatti = 32 / (16/3) = 6. Mr. Y gives 2/3 chapattis, so he receives (2/3) * 6 = Rs. 4.

Multiple choice

A, B and C entered into a business with a total capital of Rs. 50,000. A invested Rs. 4,000 more than B and B invested Rs. 5,000 more than C. If there is a total profit of Rs. 35,000, then A`s share in the profit (in Rs.) is

  1. 8,400

  2. 11,900

  3. 14,700

  4. 15,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let C = x. B = x + 5000. A = x + 5000 + 4000 = x + 9000. Total = 3x + 14000 = 50000. 3x = 36000, x = 12000. A = 21000, B = 17000, C = 12000. A's share = (21000/50000) * 35000 = 14700.

Multiple choice

A and B started a business together. B`s capital is Rs. 700 more than that of A. But B invested his capital for 9 months and A invested for 10 months. If A and B share the profit in the ratio 8 : 9, then the capital of B (in Rs.) is

  1. 3500

  2. 4200

  3. 4000

  4. 2100
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let A's capital be x, so B's capital is x + 700. The profit ratio is (Capital_A * Time_A) / (Capital_B * Time_B) = 8/9. So, (x * 10) / ((x + 700) * 9) = 8/9. Simplifying, 90x = 72(x + 700), 90x = 72x + 50400, 18x = 50400, x = 2800. B's capital is 2800 + 700 = 3500.

Multiple choice

Gina invests Rs. 48,000 to start a business. 4 months later Shrayon joins her by investing Rs. 62,000 and another two months later Deepika joins them both by investing Rs. 80,000. At the end of one year the business earns a profit of Rs. 20,661. What is Deepika's share in the profit?

  1. Rs. 7,668

  2. Rs. 6,603

  3. Rs. 7,240

  4. Rs. 6,390
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate the equivalent investment for one year: Gina = 48000 * 12 = 576000; Shrayon = 62000 * 8 = 496000; Deepika = 80000 * 6 = 480000. The ratio of investments is 576:496:480, which simplifies to 36:31:30. Total parts = 97. Deepika's share = (30/97) * 20661 = 6390.

Multiple choice

A and B are partners in a firm sharing profit and loss in the ratio of 3 : 2. C joins the firm for a quarter share in the future profits. He acquires his share of profits from the original partners in their profit sharing ratio. Calculate new profit sharing ratio for the future.

  1. 9 : 6 : 5

  2. 5 : 6 : 9

  3. 9 : 4 : 5

  4. 9 : 5 : 6

  5. 8 : 7 : 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B = 3:2. C gets 1/4. Remaining share = 3/4. This is divided between A and B in 3:2 ratio. A's new share = 3/4 * 3/5 = 9/20. B's new share = 3/4 * 2/5 = 6/20. C's share = 1/4 = 5/20. Ratio = 9:6:5.

Multiple choice

Directions: The item given below consists of a question and two statements, numbered I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and mark accordingly. A and B started a business. A invested Rs. X and B invested Rs. 1.5X. Six months after the start of business, C joined them with an investment of Rs. 5000. If the total annual profit was Rs. 6000, what was A's share of the same? I. C's share of the total annual profit was Rs. 2000. II. X = 2000

  1. The data in both the statements I and II together is necessary to answer the question.

  2. The data either in statement I alone or in statement II alone is sufficient to answer the question.

  3. The data in both the statements I and II together is not sufficient to answer the question.

  4. The data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

  5. The data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit sharing ratio depends on investment and time. A:B:C = (X*12):(1.5X*12):(5000*6) = 12X : 18X : 30000. Total profit = 6000. If we know C's share (2000), we know C's proportion of the total, which allows solving for X. If we know X=2000, we can calculate the ratio and thus A's share. Both are sufficient independently.

Multiple choice

Directions: Solve the following question and mark the best possible option. A and B started a business by investing Rs. 2,400 and Rs. 3,600, respectively. At the end of the 4th month from the start of the business, C joined with Rs. 'X'. After 8 months from the start of the business, B withdrew Rs. 600. If C's share was Rs. 8,000 in the annual profit of Rs. 22,500, what was the amount that C invested in the business?

  1. Rs. 7,200

  2. Rs. 5,800

  3. Rs. 4,000

  4. Rs. 4,800

  5. Rs. 8,800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Calculate the investment-time product for each partner. A invests 2400 for 12 months (28800). B invests 3600 for 8 months and 3000 for 4 months (28800 + 12000 = 40800). C invests X for 8 months (8X). Using the profit ratio 8000/22500 = 8X / (28800 + 40800 + 8X), solve for X to get 4800.