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

A, B and C invested Rs. 27,000, Rs. 18,000 and Rs. 45,000, respectively. In the total profit, each one takes the amount equal to 10% of their capitals and the remaining profit is shared among them in proportion of their capitals. Find the share of B and C together in the total profit of Rs. 57,000.

  1. Rs. 14,000

  2. Rs. 33,600

  3. Rs. 19,600

  4. Rs. 39,900

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

Total capital = 27000 + 18000 + 45000 = 90000. Each takes 10% of their capital: A=2700, B=1800, C=4500 (Total 9000). Remaining profit = 57000 - 9000 = 48000. This is shared in ratio 27:18:45, which is 3:2:5. B's share = 1800 + (2/10 * 48000) = 1800 + 9600 = 11400. C's share = 4500 + (5/10 * 48000) = 4500 + 24000 = 28500. B+C = 11400 + 28500 = 39900.

Multiple choice

A and B start a partnership business with capitals of Rs. 16,000 and Rs. 20,000. At the end of the 1 year 6 months, they introduce C, who invests Rs. 12,000. At the end of 3 years, they got a profit of Rs. 12,600. Find the share of C in the profit.

  1. Rs. 2400

  2. Rs. 1800

  3. Rs. 2800

  4. Rs. 4600

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

A: 16000 * 36 months = 576000. B: 20000 * 36 months = 720000. C: 12000 * 18 months = 216000. Ratio A:B:C = 576:720:216 = 8:10:3. Total parts = 21. C's share = (3/21) * 12600 = 1800.

Multiple choice

Mahesh invested an amount of Rs. 25,000 and started a business. Rocky joined him after six month with an amount of Rs. 40,000. After two years from starting the business, they earned the profit of Rs. 55,000. What will be Mahesh share in the profit?

  1. Rs. 30,000

  2. Rs. 25,000

  3. Rs. 35,000

  4. Rs. 36,000

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

Mahesh invested 25,000 for 24 months, and Rocky invested 40,000 for 18 months. The ratio of their investments is (25,000 * 24) : (40,000 * 18) = 600,000 : 720,000 = 5 : 6. Mahesh's share is 5/11 of 55,000, which equals 25,000.

Multiple choice

Aman, Harry and Pankaj started by a business of online teaching by investing Rs. 30,000 each. After 6 months, Aman and Harry withdraws Rs. 9000 and Rs. 12,000, respectively, but Pankaj invests Rs. 5000 more. At the end of the year, a total profit of Rs. 88,560 was observed. What will be the Pankaj's share?

  1. Rs. 35,000

  2. Rs. 35,100

  3. Rs. 35,200

  4. Rs. 35,300

  5. Rs. 35,400
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Aman: 30k*6 + 21k*6 = 180k + 126k = 306k. Harry: 30k*6 + 18k*6 = 180k + 108k = 288k. Pankaj: 30k*6 + 35k*6 = 180k + 210k = 390k. Total ratio: 306:288:390 = 153:144:195 = 51:48:65. Total parts = 164. Pankaj share = (65/164) * 88560 = 35100.

Multiple choice

Soumya and Kartik invested in a business and at the end of the year, they shared the profits in the ratio of 7 : 3. If investment of Soumya is Rs. 16,000 more than the investment of Kartik, then find the total investment of Soumya and Kartik.

  1. Rs. 40,000

  2. Rs. 48,000

  3. Rs. 32,500

  4. Rs. 24,750

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

Profit ratio = 7:3. Investment ratio = 7:3. Difference in parts = 7 - 3 = 4 parts. 4 parts = 16000, so 1 part = 4000. Total investment = 7 + 3 = 10 parts = 40000.

Multiple choice

A, B and C are partners in a business. A invests Rs. 8000 for 14 months, B invests Rs. 7000 for 8 months and C invests Rs. 12,000 for 6 months. They gain Rs. 18,000. By how much is A's share more than B's share?

  1. Rs. 6400

  2. Rs. 4000

  3. Rs. 4200

  4. Rs. 6500
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio of investments: A = 8000*14 = 112000, B = 7000*8 = 56000, C = 12000*6 = 72000. Ratio A:B:C = 112:56:72 = 14:7:9. Total parts = 14+7+9 = 30. A's share = (14/30)*18000 = 8400. B's share = (7/30)*18000 = 4200. Difference = 8400 - 4200 = 4200.

Multiple choice

A, B and C enter into a partnership business. A contributes Rs. 18,000, B contributes Rs. 24,000 and C contributes Rs. 36,000. If the total profit in the business at the end of the year amounts to Rs. 1,04,000, what would be the difference between the shares of C and A?

  1. Rs. 24,000

  2. Rs. 14,500

  3. Rs. 18,000

  4. Rs. 16,000

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

Profit is shared in the ratio of investments: 18:24:36, which simplifies to 3:4:6. Total parts = 13. Profit per part = 104,000 / 13 = 8,000. Difference between C (6 parts) and A (3 parts) is 3 parts, which is 3 * 8,000 = 24,000.

Multiple choice

Vasudha and Sudheer entered into a partnership business by investing Rs. 32,000 and Rs. 24,000, respectively. After 5 months, Vasudha withdrew Rs. 12,000, while Sudheer invested Rs. 6000 more. After 3 more months, Sravani joined the business with a capital of Rs. 40,000. They shared the profit at the end of 10 months. If the share of Sudheer is Rs. 800 more than the share of Vasudha, then find the share of Sravani in the profit.

  1. Rs. 6400

  2. Rs. 7200

  3. Rs. 8500

  4. Rs. 9500

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

Calculate investment-months: Vasudha: 32000*5 + 20000*5 = 260000. Sudheer: 24000*5 + 30000*5 = 270000. Sravani: 40000*2 = 80000. Ratio V:S:Sr = 26:27:8. Difference in profit share (Sudheer - Vasudha) = 1 unit = 800. Sravani's share = 8 units = 6400.

Multiple choice

P, Q and R started a business in which P invested Rs. 5000 for 2 years, Q invested Rs. 10,000 for 4 years and R invested Rs. 15,000 for 6 years. At the end of the 6th year, the profit received by them is Rs. 11,200. What is R's share in the profit?

  1. Rs. 6200

  2. Rs. 7200

  3. Rs. 5200

  4. Rs. 7500

  5. Rs. 8000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Calculate the effective investment for each person by multiplying the amount by the time: P = 5000 * 2 = 10000, Q = 10000 * 4 = 40000, R = 15000 * 6 = 90000. The ratio of their shares is 10000:40000:90000, which simplifies to 1:4:9. R's share is (9 / (1+4+9)) * 11200 = (9/14) * 11200 = 9 * 800 = 7200.

Multiple choice

P started a business with Rs. 80,000. After 2 months, Q joined him with Rs. 1,20,000. R joined them after some more time with Rs. 2,40,000. At the end of the year, out of a total profit of Rs. 7,50,000, R gets Rs. 3,00,000 as his share. How many months after Q joined the business, did R join?

  1. 5 months

  2. 6 months

  3. 4 months

  4. 3 months

  5. 8 months
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let R join x months after Q. Q joined 2 months after P. P invested for 12 months, Q for 10 months, R for (10-x) months. Profit ratio: (80000*12) : (120000*10) : (240000*(10-x)) = 96 : 120 : 24(10-x) = 4 : 5 : (10-x). R's share = 300000/750000 = 2/5. So (10-x) / (4+5+10-x) = 2/5. (10-x)/(19-x) = 2/5. 50-5x = 38-2x. 12 = 3x, x = 4.

Multiple choice

X and Y start a business by investing Rs. 8000 and Rs. 10,000. X is the working partner and Y is the sleeping partner. X gets 19% of the profit for managing, the rest being divided in proportion of their capitals out of a total profit of Rs. 10,000. The amount received by Y is

  1. Rs. 4500

  2. Rs. 4000

  3. Rs. 5000

  4. Rs. 6000

  5. Rs. 7000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

X gets 19% of 10000 = 1900. Remaining profit = 8100. Ratio of capital = 8000:10000 = 4:5. Y's share = (5/9) * 8100 = 5 * 900 = 4500.

Multiple choice

A and B have invested in a business for a year. A has invested Rs. 6000 more than B for 12 months. B has invested his capital for 4 months less than A. At the end of the investment tenure, the total profit earned was Rs. 4800. Find the ratio of the investment of A to that of B, if B receives Rs. 1600 less in the profit share.

  1. 7 : 5

  2. 4 : 3

  3. 5 : 9

  4. 2 : 1

  5. 1 : 2
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let B's investment be x and time be t. A's investment is x + 6000 and time is t + 4. Profit is proportional to investment times time. Setting up the ratio (A_inv * A_time) / (B_inv * B_time) = A_profit / B_profit, where A_profit = 4800 - 1600 = 3200 and B_profit = 1600. Solving for x and t leads to the ratio of investments.

Multiple choice

Mr. P and Mr. Q invested in a small business in a ratio of 5 : 6. After 5 months of their investment, Mr. P withdrew one-fifth of his amount and Mr. Q invested the same amount as Mr. P withdrew. At the end of the year, they received Rs. 19,800 as a profit on their investment. Find out the share of Mr. Q in the profit.

  1. Rs. 7,950

  2. Rs. 11,850

  3. Rs. 10,280

  4. Rs. 13,700

  5. Rs. 14,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Initial investment ratio 5:6. After 5 months, P withdraws 1/5 of 5x = x. P's new share = 4x. Q adds x, so Q's new share = 7x. Total profit units: P = (5x*5 + 4x*7) = 53x. Q = (6x*5 + 7x*7) = 79x. Total = 132x = 19800. x = 150. Q's share = 79 * 150 = 11850.