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

Amit and Bhanu started a partnership firm with their respective capitals in the ratio 7 : 8, and at the end of 8 months, Amit withdrew. If they received the profits in the ratio 7 : 10, for how long was Bhanu's capital used?

  1. 8 months

  2. 9 months

  3. 10 months

  4. 11 months

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

Profit ratio = (Capital A * Time A) / (Capital B * Time B). 7/10 = (7 * 8) / (8 * T). 7/10 = 56 / (8T). 56T = 560, so T = 10 months.

Multiple choice

Alia, Bipasha and Celina started a dance academy. They invested amounts in the ratio 1 : 3 : 2, respectively, for 8 months. After this they invested amounts in the ratio 2 : 3 : 4, respectively, for 4 months. The average investment of Alia and Bipasha is Rs 28,000, while the average investment of Bipasha and Celina is Rs. 38,000. If Bipasha's amount of investment for both the terms (4 months and 8 months) is swapped, then find the total profit share of Bipasha and Celina given that the annual profit is Rs. 4,62,000.

  1. Rs. 4,56,000

  2. Rs. 3,28,000

  3. Rs. 4,36,000

  4. Rs. 3,78,000

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

Calculate the investment shares based on the ratios and time periods. Use the given averages to find the actual investment amounts. Then calculate the profit distribution.

Multiple choice

Maniram and Dhaniram are partners in a firm, wherein Maniram is an inactive partner and Dhaniram is an active partner. Maniram invests Rs. 1,50,000 and Dhaniram invests Rs. 90,000. Dhaniram receives 12.5% of profit for running the business and the rest is shared between both in the ratio of their investments. What is Maniram's share in the profit of Rs. 28,000?

  1. Rs. 15,312.5

  2. Rs. 25,312.5

  3. Rs. 12,750

  4. Rs. 24,150

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

Dhaniram takes 12.5% of 28,000, which is 3,500. The remaining 24,500 is split in the ratio of their investments (150,000:90,000 = 5:3). Maniram's share is 5/8 of 24,500, which equals 15,312.5.

Multiple choice

Priya started his business with 1/3 of the total capital for 1/4 of the time. Her uncle Dhanush invested 1/4 of the capital for 1/2 of the time, and Priya's friend Ravi invested the remaining capital for the whole time. Find the share of Ravi in the total profit of Rs. 99,000.

  1. Rs. 13,200

  2. Rs. 30,000

  3. Rs. 33,000

  4. Rs. 66,000

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

Priya's share is (1/3)(1/4) = 1/12. Dhanush's share is (1/4)(1/2) = 1/8. Ravi's capital is 1 - 1/3 - 1/4 = 5/12, invested for the whole time (1), so his share is 5/12. Profit ratios are 1/12 : 1/8 : 5/12, which simplifies to 2 : 3 : 10. Ravi's share is (10/15) * 99,000 = 66,000.

Multiple choice

Directions: The question given below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. Three friends X, Y and Z invested Rs. 52,000 in a fund in the ratio 2 : 1 : 3. What is the profit earned by each of them? I. Z got Rs. 2000 in profit more than X. II. Z got Rs. 6000 as his share in profit.

  1. The question can be answered by using statement I alone but cannot be answered by using statement II alone.

  2. The question can be answered by using statement II alone but cannot be answered by using statement I alone.

  3. Both statements I and II together are required to answer the question.

  4. The answer can be found by using any of the two statements alone.

  5. Both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio 2:1:3 means total parts = 6. Total profit = 52000. Each share: X=17333.33, Y=8666.67, Z=26000. Statement I: Z-X = 2000. Ratio 3x-2x = x = 2000. Total = 6*2000 = 12000. Statement II: Z = 6000. Ratio 3x = 6000, x = 2000. Both are sufficient individually.

Multiple choice

Ali and Bali invest in a business in the ratio 3 : 2. If 5% of the total profit goes to re-investment to business and Ali's share is Rs. 85,500, then the total profit is

  1. Rs. 1,20,000

  2. Rs. 1,50,000

  3. Rs. 1,60,000

  4. Rs. 1,75,000
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Ali's share is 3/5 of the profit after 5% reinvestment. Let total profit be P. Profit to be shared = 0.95P. Ali's share = (3/5) * 0.95P = 85500. 0.57P = 85500, so P = 85500 / 0.57 = 150000.

Multiple choice

Lakshmi Kant and Pyare Lal were partners in a music business. Lakshmi Kant contributed 1/4 of the capital for 15 months and Pyare Lal received 2/3 of the profit. For how long was Pyare Lal's capital used?

  1. 8 months

  2. 9 months

  3. 10 months

  4. 11 months
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total capital be C and total profit be P. Lakshmi Kant's capital = C/4 for 15 months. Pyare Lal's capital = 3C/4 for x months. Profit ratio = (C/4 * 15) / (3C/4 * x) = 1/2. 15/3x = 1/2, so 30 = 3x, x = 10.

Multiple choice

Mr. Lotus starts a flower retail business by investing Rs. 40,000. Seeing his growth, after 4 months, Miss Tulip also joins the business with an investment of Rs. 50,000. At the end of the two years, they earn a profit of Rs. 98,000. What will be Miss Tulip's share in this profit?

  1. Rs. 48,000

  2. Rs. 40,000

  3. Rs. 50,000

  4. Rs. 60,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Lotus investment = 40000 * 24 months = 960000. Tulip investment = 50000 * 20 months = 1000000. Ratio = 96:100 = 24:25. Tulip share = 98000 * (25 / 49) = 2000 * 25 = 50000.

Multiple choice

Julie and Rukhsana started a Home Service business with Rs. 40,000 and Rs. 80,000, respectively. Rukhsana got transferred to other town and had to leave the business after 9 months; but she placed Suhana immediately with an investment of Rs. 1,60,000. At the end of the year, the business showed a profit of Rs. 98,000. What is the difference between Suhana's and Julie's share in this profit?

  1. Rs. 0

  2. Rs. 3000

  3. Rs. 4000

  4. Rs. 6000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Julie investment: 40k * 12 = 480k. Rukhsana: 80k * 9 = 720k. Suhana: 160k * 3 = 480k. Ratio J:R:S = 480:720:480 = 2:3:2. Total profit 98k. Julie share = 2/7 * 98k = 28k. Suhana share = 2/7 * 98k = 28k. Difference = 0.

Multiple choice

Sharookh and Shalman invest in a business in the ratio 5 : 2. 10% of the profit is paid as taxes before they divide it between the two. Sharookh gets Rs. 13,680. What is Shalman's share?

  1. Rs. 7600

  2. Rs. 5672

  3. Rs. 5472

  4. Rs. 5260
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Sharookh and Shalman share the profit in a 5:2 ratio. Since Sharookh's share is Rs. 13,680, which corresponds to 5 parts, one part is 13,680 / 5 = 2,736. Shalman's share is 2 parts, so 2 * 2,736 = 5,472.

Multiple choice

Dhoni and Kohli started a secondhand bike business by investing Rs. 1,00,000 and Rs. 2,00,000, respectively. After 1 year, Kohli withdrew Rs. 50,000 and Dhoni invested Rs. 50,000 more. At the end of 2 years, they get a total profit Rs. 60,000. What is Dhoni's share?

  1. Rs. 25,000

  2. Rs. 30,000

  3. Rs. 35,000

  4. Rs. 40,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Dhoni: 100k * 1 + 150k * 1 = 250k. Kohli: 200k * 1 + 150k * 1 = 350k. Ratio = 25:35 = 5:7. Dhoni's share = (5/12) * 60,000 = 25,000.