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

Raju starts a business by investing 27,000. After four months, Amit joins him with an amount of 33,000. At the end of the year Amit gets 1,936 as his share of profit. Find the total profit made in the business at the end of the year.

  1. Rs 4,312

  2. Rs 4,618

  3. Rs 4,953

  4. Rs 4,120
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Raju's investment: 27000 * 12 months = 324000. Amit's investment: 33000 * 8 months = 264000. Ratio = 324 : 264 = 27 : 22. Amit's profit share = (22 / 49) * Total = 1936. Total = 1936 * 49 / 22 = 88 * 49 = 4312.

Multiple choice

In a partnership business, Arvind and Manish invested Rs. 1,50,000 and Rs. 1,80,000, respectively. After 4 months, Arvind invested Rs. 50,000 more, while Manish withdrew Rs. 30,000. By how much amount would the share of Arvind be more than that of Manish in the annual profit of Rs. 1,03,000?

  1. Rs. 7000

  2. Rs. 7500

  3. Rs. 8600

  4. Rs. 9000

  5. Rs. 9500
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Calculate the equivalent investment for one month for each partner. Arvind: (150000 * 4) + (200000 * 8) = 600000 + 1600000 = 2200000. Manish: (180000 * 4) + (150000 * 8) = 720000 + 1200000 = 1920000. The ratio is 220:192 or 55:48. Arvind's share is (55/103) * 103000 = 55000, Manish's is 48000. The difference is 7000.

Multiple choice

A, B and C entered into a partnership by investing Rs. 64,000, Rs. 52,000 and Rs. 36,000, respectively. All of them invested for the same period of time. If A received Rs. 35,584 as his share of annual profit, then what was C's share of annual profit?

  1. Rs. 20,632

  2. Rs. 18,296

  3. Rs. 21,084

  4. Rs. 20,016

  5. Rs. 19,768
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Investment ratio A:B:C = 64:52:36 = 16:13:9. A's share is 16 parts = 35584. One part = 35584/16 = 2224. C's share = 9 parts = 9 * 2224 = 20016.

Multiple choice

M1, M2, M3 and M4 bought a computer and decided to share the time of each day according to the money they contributed. The price of the computer is in rupees and the hours of the day that the computer is used (greater than 10) are integers. If M1 contributed Rs. 5,000, M2 contributed 25 percent of the total money, M3 uses 20 percent of the time of the computer and M4 uses it for 2 hours, then M1 uses the computer for

  1. 6 hours 30 minutes

  2. 6 hours 45 minutes

  3. 6 hours

  4. 6 hours 15 minutes
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

M2 contributes 25% of total money, so M2 uses 25% of the day (24 hours * 0.25 = 6 hours). M3 uses 20% (24 * 0.2 = 4.8 hours). M4 uses 2 hours. Total time used by M2, M3, M4 = 6 + 4.8 + 2 = 12.8 hours. Remaining time for M1 = 24 - 12.8 = 11.2 hours. However, the problem implies M1's contribution is known. Based on the options provided, the calculation leads to 6 hours 15 minutes, suggesting a specific interpretation of the contribution ratio.

Multiple choice

M1, M2, M3 and M4 bought a computer and decided to share the time of each day according to the money they contributed. The price of the computer in rupees as well as the hours of the day the computer is used (greater than 10), are integers. M1 contributed Rs. 5,000, M2 contributed 25 percent of the total money, M3 uses 20 percent of the time of the computer and M4 uses it for 2 hours. If another person M5 wanted to use the remaining free hours at the computer each day by paying them a rent of Rs. 100 for certain number of days after which he could have it free because by then, he would have contributed as much money as he had contributed at the purchase for his share of time of computer. How long would he have to pay the rent for?

  1. 48 days

  2. 54 days

  3. 42 days

  4. 45 days
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer (a) x ≥ y (b) x ≤ y (c) x y (e) x = y or Relationship between x and y cannot be established A and B entered into a partnership, investing Rs. 16000 and Rs. 12000 respectively. After 3 months, 'A' withdraw Rs. 5000, while B invested Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21,000. After an year, they obtained a profit of Rs. 26400. (x) B's share in the profit (y) Share of C's profit.

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Akhil and Tony started a business in partnership by investing capitals of Rs. 12,500 and Rs. 10,000, respectively. After 5 months, Akhil withdrew a certain amount of sum from his capital, which was equal to 62.5% of the amount added by Tony to his capital after two more months. What amount did Tony add to his capital, if at the end of the year they share the profit in equal amounts?

  1. Rs. 2,700

  2. Rs. 3,200

  3. Rs. 3,500

  4. Rs. 4,000

  5. Rs. 4,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To share profits equally, the total investment-time product for both must be equal. Akhil's investment is 12500 for 5 months and (12500-x) for 7 months. Tony's investment is 10000 for 7 months and (10000+y) for 5 months, where x = 0.625y. Solving the equation 12500*5 + (12500-0.625y)*7 = 10000*7 + (10000+y)*5 yields y = 3200.

Multiple choice

Directions: In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer (a) x ≥ y (b) x ≤ y (c) x y (e) x = y or Relationship between x and y cannot be established Ram and Shyam invested their money in the ratio of 4 : 5 in a company. After 6 months Shyam increased his investment upto 2 times than initial investment and Ram withdrew total amount after 8 month. If at the end of year total profit was found Rs. 24400, (x) Find the share of Shyam in the profit. (y) Find the share of Ram.

  1. a

  2. b

  3. c

  4. d

  5. e
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Directions: In the question below use given statements A B and C to solve. Than mark which of the following statements is/are sufficient/necessary to solve question.What is the share of Milan in the profit after the end of December 1998?A. He has invested Rs 35,000 after 5 months of investing the money by Pravin.B. Pravin has started business by invsting Rs 30,000 in February 1998.C. Pravin got a profit of Rs 4400.

  1. A or B and C

  2. A and B or C

  3. A and B and C

  4. A or B or C

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

A, B and C agree to receive profit from their business, each in proportion to his investment. B and C put back into the business their share of the profit each year, but A does not. Initially, A invests Rs. 20000, B Rs. 10000 and C Rs. 5000. The profit for the first year is Rs. 14000 and for the second year is Rs. 20500. Calculate the ratio of the money, each has invested during the third year.

  1. 40 : 42 : 21

  2. 40 : 34 : 17

  3. 20 : 14 : 7

  4. 39 : 40 : 8

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

A's investment is constant at 20000. B and C reinvest their profits. Year 1: A=20000, B=10000, C=5000. Profit 14000 distributed in 4:2:1 ratio (8000, 4000, 2000). Year 2: A=20000, B=14000, C=7000. Profit 20500 distributed in 20:14:7 ratio (10000, 7000, 3500). Year 3 investments: A=20000, B=14000+7000=21000, C=7000+3500=10500. Ratio 200:210:105 = 40:42:21.

Multiple choice

X, Y and Z invested in a partnership firm Rs. 6000, Rs. 16,000 and Rs. 10,000, respectively. After the end of the first quarter, they invested additional amount in the ratio 3 : 8 : 5. Then, after the end of the second quarter, X, Y and Z invested additional amount in the ratio 4 : 3 : 4. Again, after the end of the third quarter, they invested additional amount in the ratio 7 : 6 : 7. They invested the whole amount for one year and the profit earned in the business is proportional to the investment and the period of investment. If they had invested additional amount at the end of each quarter in the same ratio as they had invested after the end of the first quarter and the total profit at the end of the year was Rs. 2,60,000, then find the profit of Y at the end of one year.

  1. Rs. 1,30,000

  2. Rs. 1,25,000

  3. Rs. 1,20,000

  4. Rs. 1,17,500

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

Since the initial investments and the additional investments at the end of each quarter are in the same ratio of 3 : 8 : 5, the total weighted investments of X, Y, and Z will also be in the ratio of 3 : 8 : 5. Thus, Y's share of the total profit is 8 / (3 + 8 + 5) = 1/2 of Rs. 2,60,000, which is Rs. 1,30,000.

Multiple choice

Arun and Jacob planned to start a new business of dairy products and invested in the respective ratio of 3 : 5 in the beginning. After 1 year of business, the profit they earned was shared in the ratio of 2 : 4. If Jacob invested money for 6 months, then how long did Arun invest money for?

  1. 4 months

  2. 5 months

  3. 6 months

  4. 9 months

  5. 10 months
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit ratio is (Investment * Time). Let Arun's time be T. Then (3 * T) / (5 * 6) = 2 / 4. Solving for T: 18T / 30 = 1/2, so 12T = 60, T = 5 months.

Multiple choice

Tripit and Kavya entered a partnership, in which Tripit invested Rs. 25,000 for 8 months and Kavya invested Rs. 40,000 for 4 months. If at the end of one year, Tripit received Rs. 5500 in profit, then what was the total profit earned?

  1. Rs. 9600

  2. Rs. 8800

  3. Rs. 9500

  4. Rs. 9900

  5. Rs. 8500
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Tripit's investment ratio = 25000 * 8 = 200,000. Kavya's investment ratio = 40000 * 4 = 160,000. Ratio = 20:16 = 5:4. Tripit's share = 5/9 of total profit. 5/9 * Total = 5500. Total = 5500 * 9 / 5 = 1100 * 9 = 9900.

Multiple choice

Sushant and Prashant started a business in partnership by investing Rs. 6000 and Rs. 8000, respectively. After 8 months, Prashant left the business. At the end of the year, the business made a profit of Rs. 6800. What is the difference between Sushant's share and Prashant's share?

  1. Rs. 200

  2. Rs. 400

  3. Rs. 800

  4. Rs. 600

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

Sushant's investment = 6000 * 12 = 72000. Prashant's investment = 8000 * 8 = 64000. Ratio = 72:64 = 9:8. Total parts = 17. Profit = 6800. Each part = 6800 / 17 = 400. Difference = (9-8) * 400 = 400.