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

P and Q enters into a partnership with investment of Rs. 1400 and Rs. 1800 respectively. They share half of the profit equally for running the business and the remaining profit in the ratio of their investment. If the difference in their shares is Rs 47, what is the total profit ?

  1. 752

  2. 954

  3. 804

  4. 504
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Half the profit is shared equally, so each partner gets P/4 from this portion. The remaining half (P/2) is divided in the ratio of investments 1400:1800 = 7:9. P gets P/4 + 7P/32 = 15P/32, and Q gets P/4 + 9P/32 = 17P/32. The difference is P/16 = 47, so P = 752.

Multiple choice

Shikha and Shreya invested in the ratio 7 : 8 in a business. They got an annual profit of Rs 34450. If Shikha withdrew her entire money at the end of 9 months, then what is the difference between their shares of profit?
  1. $7570$
  2. $6400$
  3. $7560$
  4. $7150$
  5. $8180$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Shikha's investment ratio for time period = 7 × 9 = 63. Shreya's investment ratio for time period = 8 × 12 = 96. Total ratio = 63 + 96 = 159. Shikha's share = (63/159) × 34450 = Rs 13650. Shreya's share = (96/159) × 34450 = Rs 20800. Difference = 20800 - 13650 = Rs 7150.

Multiple choice

Sheetal and Manoj started a business by investing Rs 2600 and Rs 2400 respectively. After 7 months, they added Rs 600 and Rs 800 respectively. 33% of the total profit earned after a year is given in donation. If after giving donation, the difference between the shares of Sheetal and Manoj is Rs 350, find the total profit earned after a year.

  1. 17000

  2. 25000

  3. 18000

  4. 12000

  5. 27000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Sheetal: 2600 for 7 months, then 3200 for 5 months. Capital-months = 2600*7 + 3200*5 = 33400. Manoj: 2400 for 7 months, then 3200 for 5 months. Capital-months = 2400*7 + 3200*5 = 32800. Ratio 33400:32800 = 167:164. After 33% donation, 67% remains. 67% of P distributed as 167:164. Difference = (67% of P)*(3/331) = 350 → P = 25000.

Multiple choice

Madhu and Deepti are partners in a business. Madhu invested 70% of the capital for 18 months and Deepti get 40% of the profit. Find for how many months had Deepti invested in the business?

  1. 25

  2. 28

  3. 6

  4. 24

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

Let total capital = C. Madhu invested 70% (0.7C) for 18 months. Deepti invested 30% (0.3C) for n months. Investment ratio: Madhu:Deepti = (0.7C×18):(0.3C×n) = 12.6:0.3n = 42:n. Since Deepti gets 40% profit and Madhu gets 60%, their profit ratio is 40:60 = 2:3. Therefore, 42/n = 3/2 (inverse ratio). Solving: n = 42×2/3 = 28 months. Option B is correct.

Multiple choice

Kashish and Sheena started a business by investing Rs 2600 and Rs 2400 respectively. After 7 months, they added Rs 600 and Rs 800 respectively. 33% of the total profit earned after a year is given in donation. If after giving donation, the difference between the shares of Kashish and Sheena is Rs 350, find the total profit earned after a year.

  1. 17000

  2. 25000

  3. 18000

  4. 12000

  5. 27000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Kashish's investment: 2600 × 7 + (2600+600) × 5 = 18200 + 16000 = 34200. Sheena's investment: 2400 × 7 + (2400+800) × 5 = 16800 + 16000 = 32800. Ratio of investments = 34200:32800 = 171:164. After 33% donation, 67% remains. If total profit = P, difference = P × (67/100) × (171-164)/(171+164) = P × 0.67 × 7/335 = 350. Solving: P = 350 × 335/(0.67 × 7) = 25000.

Multiple choice

A and B started a partnership investing amounts in the ratio 2: 3. After 6 months, C joined the partnership, with an amount equal to B. The profit at the end of one year should be distributed among A, B and C in the ratio
  1. $2: 3: 3$
  2. $4: 6: 3$
  3. $2: 6: 3$
  4. $3: 4: 5$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit is distributed in proportion to capital × time. A invests 2x for 12 months = 24x; B invests 3x for 12 months = 36x; C joins after 6 months with B's amount (3x) for 6 months = 18x. Ratio A:B:C = 24:36:18, which simplifies to 4:6:3 by dividing by 6.

Multiple choice

Y and Z started a business in partnership by investing Rs 40000 and Rs 50000 respectively . Condition of partnership is that Y got Rs 1500 per month for management of the business . Remaining profit has to be distributed in the ratio of their investments . Find the profit share of Z , if the annual profit is Rs 45000 ?

  1. Rs. 15000

  2. Rs. 30000

  3. Rs. 27000

  4. Rs. 18000

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

Y receives Rs 1500 × 12 = Rs 18000 annually for management. Remaining profit = 45000 - 18000 = Rs 27000, distributed in investment ratio 40000:50000 = 4:5. Z's share = 27000 × 5/9 = Rs 15000.

Multiple choice

A and B enter into a partnership with capitals in the ratio 7:8 and at the end of 8 months A withdraws. If they receive profits in the ratio of 7:11 find how long B’s capital was used?

  1. 8

  2. 9

  3. 11

  4. 12

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

In partnership, profit distribution is proportional to investment × time. A invested 7 units for 8 months = 56. B invested 8 units for t months = 8t. Given profit ratio 7:11, we have 56 : 8t = 7 : 11. Solving: 8t = 56 × 11/7 = 88, so t = 11 months.

Multiple choice

P starts a business with an initial investment of Rs.9000. After 4 months, Q enters into the partnership with an investment of Rs.12000. Again after two months R enters with an investment of Rs.15000. If R receives Rs.922.5 in the profit at the end of the year, what is the total annual profit?

  1. Rs. 3013.5

  2. Rs. 3163.5

  3. Rs. 3263.5

  4. Rs. 3040

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

Calculate equivalent capital by multiplying investment × months. P: 9000 × 12 = 108000, Q: 12000 × 8 = 96000, R: 15000 × 6 = 90000. Ratio = 108:96:90 = 18:16:15 (sum = 49). R's share = 15/49 of total profit = Rs. 922.5. Total profit = 922.5 × 49/15 = Rs. 3013.5.

Multiple choice

A and B started a business by investing in the ratio of 4: 7. After 6 months, C joined them investing the same amount as B. What would be the ratio of their share of profit after one year?
  1. $9: 15: 7$
  2. $8: 14: 7$
  3. $5: 12: 7$
  4. $8: 14: 9$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A invests 4x for 12 months, B invests 7x for 12 months, C invests 7x for 6 months. Profit ratio = 4x×12 : 7x×12 : 7x×6 = 48x : 84x : 42x = 8 : 14 : 7. Investment period matters - C joined after 6 months.

Multiple choice

A, B and C invested Rs 75000, Rs 90000, and Rs 105000 respectively for a business. If at the end of the year B gets Rs. 12000 as his profit share, then what was the total profit of that year?

  1. 30000

  2. 36000

  3. 39000

  4. 24000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The investment ratio is A:B:C = 75000:90000:105000 = 25:30:35 = 5:6:7. B's share is 6/(5+6+7) = 6/18 = 1/3 of total profit. If B gets Rs. 12000, then total profit = 12000 × 3 = Rs. 36000. Options A, C, and D don't match this calculation.

Multiple choice

A started a business. After 4 months from the start of the business, B and C joined. The respective ratio between the investments of A, B and C was 4: 6: 5. If A’s share in annual profit was Rs. 250 more than C’s share, what was the total annual profit earned?

  1. Rs. 3740

  2. Rs. 3910

  3. Rs. 4250

  4. None of these

  5. Rs. 3450
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In partnership problems, profit is distributed in proportion to investment × time. A invested for 12 months, B and C for 8 months each. Effective investment ratios: A = 4×12 = 48, B = 6×8 = 48, C = 5×8 = 40. Total = 136. A's share = 48/136 × P, C's share = 40/136 × P. Difference = (8/136)P = Rs. 250. Solving: P = 250 × 136/8 = 250 × 17 = Rs. 4250.

Multiple choice

A, B and C started a business together. The respective ratio of investment of A and B was 3: 5 and the respective ratio of investments of B and C was 10: 13. If at the end of the year C received Rs 17628 and his share of annual profit, what was the total annual profit earned by all of them together?

  1. 39324

  2. 38268

  3. 39672

  4. 36564

  5. 38952
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

A:B = 3:5 and B:C = 10:13. To combine, make B equal: A:B = 6:10 (multiply by 2), so A:B:C = 6:10:13. C's share = 13/29 of total profit. Given C received Rs 17628, total profit = 17628 × 29/13 = 17628 × 29 ÷ 13 = 39324. Option A is correct.

Multiple choice

Roshan started a business by investing Rs 20000. After 6 months Ahamed joined with him by investing Rs 32000. At the end of 3 years they gained Rs 98000 then the share of Roshan is:

  1. 42000

  2. 46000

  3. 48000

  4. 52000

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

Roshan invested Rs 20000 for 3 years. Ahamed joined after 6 months, investing Rs 32000 for the remaining 2.5 years. Their investment ratio: Roshan = 20000 × 3 = 60000. Ahamed = 32000 × 2.5 = 80000. Profit ratio = 60000:80000 = 3:4. Total profit = Rs 98000. Roshan's share = (3/7) × 98000 = 3 × 14000 = Rs 42000.

Multiple choice

X, Y and Z entered into a partnership with some investment for one year. After one-year X got 2/5 profit and Y and Z got equal part of remaining profit. If total profit after one year is 15% instead of 10% then X got 900 Rs. more. Find the investment of Y.

  1. 12000

  2. 45000

  3. 27000

  4. 13500

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

X gets 2/5 of profit at 10% total profit. When profit increases to 15%, X gets Rs. 900 more. The additional 5% profit on total investment gives X an extra 2/5 of that increment. Let total investment = I. 0.05 × I × (2/5) = 900, so I = 45000. X's investment = (2/5) × 45000 = 18000. Y and Z share remaining 3/5 equally, so Y gets (3/10) × 45000 = 13500. Answer D is correct.