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

Directions : Select the correct alternative from the given choices. Ten partners, six male partners and four female partners, started a company. Each male partner has an equal share of investment and each female partner has exactly thrice the share of investment as that of any of the male partners. From the profit made in every financial year, each female partner first gets 10% interest on her investment and the remaining profit is then divided among all the ten partners, in the ratio of their respective investments. If last year, the company made a 35% profit on the sales, what is the ratio of the net share of profit of any of the female partners to that of any of the male partners?

  1. 9:2

  2. 63:10

  3. 6:1

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The profit distribution depends on the total investment amount, which is not provided. While we know the ratio of individual investments, the absolute values are unknown, making it impossible to calculate the net share ratio.

Multiple choice

Two companies, Maruti and Hyundai, invested in a project with initial investments in the ratio of 12 : 11, and they shared annual profits in the respective ratio of 3 : 5. If the time period of investment for Maruti was 11 months, then find for how long did Hyundai invest the money?

  1. 24 months

  2. 15 months

  3. 20 months

  4. 10 months

  5. 23 months
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit ratio = (Investment1 * Time1) / (Investment2 * Time2). 3/5 = (12 * 11) / (11 * T2). 3/5 = 12 / T2. 3*T2 = 60, T2 = 20 months.

Multiple choice

Raju, Bakshi and Hitesh started a business by investing money in the ratio 3 : 6 : 5. Hitesh is the silent partner in the team and takes a cut from the annual profit according to his investment. Raju and Bakshi manage the entire business for which, they are paid individual salaries from the annual profit. If, after a year, the total amount of money earned by Raju, Bakshi and Hitesh are in the ratio 8 : 11 : 7, then, Bakshi's salary was made what percent of the total annual profit?

  1. 7.5

  2. 8

  3. 10

  4. 11.5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total profit be P. Investment ratio 3:6:5 implies Hitesh's share is 5/14 of P. Earnings ratio 8:11:7 implies Hitesh's earnings = 7/26 of total earnings. Since Hitesh's earnings equal his profit share, 5/14 * P = 7/26 * Total Earnings. This setup is complex, but calculating the salary components leads to 10% of the total profit.

Multiple choice

C and D started a venture by investing Rs. 4y and Rs. (4y – 300), respectively. After eight months, D increased his investment by Rs. 150. At the end of the year, D received Rs. 420 as his share from a total annual profit of Rs. 980. Determine the value of y.

  1. 180

  2. 210

  3. 250

  4. 280

  5. 310
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let C's investment be 4y for 12 months and D's be (4y-300) for 8 months plus (4y-150) for 4 months. The profit ratio is 420:560 (or 3:4). Solving the equation for the ratio of investments leads to y = 250.

Multiple choice

A, B and C start a business by investing Rs.2000, Rs.3000 and Rs.4000 respectively. But B increases his investment to Rs.4000 after 4 months and C withdraws Rs.1000 at the end of 9 months. What is A's share out of a total profit of Rs. 8475 earned in a year?

  1. 1600

  2. 1800

  3. 1500

  4. 1400

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

A: 2000*12 = 24000. B: 3000*4 + 4000*8 = 12000 + 32000 = 44000. C: 4000*9 + 3000*3 = 36000 + 9000 = 45000. Ratio A:B:C = 24:44:45. Total parts = 113. A's share = (24/113) * 8475 = 24 * 75 = 1800.

Multiple choice

David, Emma, and Frank start a business with initial investments of Rs. 80,000, Rs. 1,20,000, and Rs. 1,60,000, respectively. After 4 months, David invests an additional Rs. 20,000, and Emma withdraws Rs. 40,000. If the profit after one year is Rs. 78,000, what is David's share?

  1. Rs. 17,500

  2. Rs. 19,500

  3. Rs. 21,000

  4. Rs. 21,500

  5. Rs. 23,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

David: 80k*4 + 100k*8 = 320k + 800k = 1120k. Emma: 120k*4 + 80k*8 = 480k + 640k = 1120k. Frank: 160k*12 = 1920k. Ratio = 1120:1120:1920 = 7:7:12. Total parts = 26. David's share = (7/26) * 78000 = 7 * 3000 = 21000.

Multiple choice

P, Q, and R started a business with investments in the ratio 20 : 15 : 12. After 3 months, R withdrew half of his investment, and after another 9 months, a profit of ₹323,000 was divided between them. R's profit share was

  1. 57,000rs

  2. 52,000rs

  3. 1,52,000rs

  4. 1,57,000rs

  5. 63,000rs
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Investment ratios: P=20, Q=15, R=12. P and Q invest for 12 months. R invests 12 for 3 months, then 6 for 9 months. Total units: P=240, Q=180, R=(36+54)=90. Ratio 240:180:90 = 8:6:3. Total parts = 17. R's share = (3/17) * 323000 = 3 * 19000 = 57000.

Multiple choice

P , Q and R started a manufacturing plant together. P invests 5 lakhs, Q invests 6 lakhs rupees and R invests 4 lakhs rupees. In the first year the venture makes a profit of 1 lakh rupees. A part of profit is shared between Q and R in the ratio 3 : 2 and remaining profit is divided among P , Q and R in the ratio of their initial investment. The amount that Q receives is three times the amount that P receives. How much amount (in rs.)does R receives ?

  1. 44400

  2. 3333.3

  3. 35355.5

  4. 31000

  5. 34000
Reveal answer Fill a bubble to check yourself
B Correct answer
Multiple choice

Three partners, Anil, Bharat, and Chandra, invest in a business with share of 40%, 35%, and 25%, respectively. If the total profit for the year is Rs. 5,00,000, what is the positive difference between the profit received by Anil and Chandra?

  1. Rs. 50,000

  2. Rs. 73,000

  3. Rs. 75,000

  4. Rs. 78,000

  5. Rs. 83,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Anil's share = 40% of 5,00,000 = 2,00,000. Chandra's share = 25% of 5,00,000 = 1,25,000. Difference = 2,00,000 - 1,25,000 = 75,000.

Multiple choice

X, Y, and Z enter into a commercial business partnership. X contributes ₹12,000 to the capital pool. Out of a total annual net profit of ₹3,000, X receives ₹1,200 and Y receives ₹1,000. What is the capital amount invested by Z?

  1. ₹6,000

  2. ₹7,000

  3. ₹8,000

  4. ₹9,000

  5. ₹10,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total profit is 3000. X gets 1200, Y gets 1000, so Z gets 3000 - 1200 - 1000 = 800. Profit is shared in proportion to capital. X/Z = 1200/800 = 12000/Z_capital. Thus, Z_capital = (800 * 12000) / 1200 = 8000.

Multiple choice

A, B, and C entered into a business partnership. A received 3/5 of the total profit, while B and C shared the remaining profit equally. If C initially received Rs 400 less than A, what was the total profit earned by the partnership?

  1. 800

  2. 1000

  3. 1200

  4. 1600

  5. 1800
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A gets 3/5. Remaining 2/5 is shared equally by B and C, so B gets 1/5 and C gets 1/5. Difference between A and C is 3/5 - 1/5 = 2/5 of total profit. 2/5 * P = 400, so P = 1000.