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 were partners in a business. A was in partnership for 1 year 6 months, B was in partnership for 1 year 2 months and C was in partnership for half the time as A. If they shared the profit in ratio 3 : 7 : 11, then which of the following represents the ratio of their investments?

  1. 3 : 9 : 22

  2. 3 : 3 : 22

  3. 2 : 5 : 22

  4. 1 : 3 : 11

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

Profit = Investment * Time. Let investments be I_A, I_B, I_C. Time: A=18 months, B=14 months, C=9 months. Profit ratio: 3:7:11. I_A * 18 = 3k, I_B * 14 = 7k, I_C * 9 = 11k. I_A = 3k/18 = k/6. I_B = 7k/14 = k/2. I_C = 11k/9. Ratio: 1/6 : 1/2 : 11/9. Multiply by 18: 3 : 9 : 22.

Multiple choice

Two business partners, Sam and Dev, started a new business by investing Rs. 55,000 and Rs. 35,000, respectively. After 18 months, Alex, who invested Rs. 90,000, joined them. If the total profit earned by them after 3 years from the starting was Rs. 45,000, then which of the following represents the profit share of Alex?

  1. Rs. 40,000

  2. Rs. 45,000

  3. Rs. 30,000

  4. Rs. 15,000

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

Investment ratios: Sam (55k * 36 months) : Dev (35k * 36 months) : Alex (90k * 18 months). Ratios = 1980 : 1260 : 1620 = 198 : 126 : 162 = 11 : 7 : 9. Total parts = 11+7+9 = 27. Alex's share = (9/27) * 45000 = 15000.

Multiple choice

Directions: In the following question, we have two quantities given. Compare these quantities and answer accordingly. Kiran and Ankit invested some amount in a business. Quantity I. Share of Ankit, if Kiran invested Rs. 7,000 for 3 months, Ankit invested Rs. 6,000 for 9 months, and the total amount of profit earned by both of them is Rs. 5,000 Quantity II. Share of Kiran, if Ankit invested Rs. 9,000 for 5 months, Kiran invested Rs. 5,000 for 7 months, and the total amount of profit earned by both of them is Rs. 6,000

  1. Quantity I > Quantity II

  2. Quantity I < Quantity II

  3. Quantity I ≥ Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or No relation
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Q1: Profit ratio = (7000*3) : (6000*9) = 21000 : 54000 = 7 : 18. Ankit's share = (18/25) * 5000 = 3600. Q2: Profit ratio = (5000*7) : (9000*5) = 35000 : 45000 = 7 : 9. Kiran's share = (7/16) * 6000 = 2625. 3600 > 2625.

Multiple choice

Four friends P, Q, R and S started a business in partnership. P's and Q's investments are Rs. 10,000 and 20,000, respectively. R's investment is the average of the investments of P and Q. S's investment is 20% more than P's. P withdraws 50% of his investment after 6 months. The profit at the end of the year is distributed in the ratio of their investments. If the profit of S is Rs. 97,200, then what is the profit share of Q?

  1. Rs. 1,62,000

  2. Rs. 1,52,000

  3. Rs. 1,42,000

  4. Rs. 1,65,000

  5. Rs. 1,74,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Investments (in thousands): P=10, Q=20, R=15, S=12. P's effective investment: (10*6 + 5*6)/12 = 7.5. Q=20, R=15, S=12. Ratio P:Q:R:S = 7.5:20:15:12 = 15:40:30:24. If S's profit (24 parts) = 97200, then 1 part = 4050. Q's profit = 40 * 4050 = 162000.

Multiple choice

In a business, 30% investment is made by person A and rest of the investment is made by persons B, C and D. The investment of person C is 35% more than the investment of person B. The investment of person D is (400/27)% less than the investment of person C. They donate 10% of the total profit to an NGO – Save the Children India and the remaining profit is divided among them in the ratio of their investments. If the profit share of person A is Rs. 7,875 more than the profit share of person D, then which of the following options represents the profits of persons B and D, respectively? (i) Rs. 22,500 and Rs. 25,875 (ii) Rs. 24,500 and Rs. 28,424 (iii) Rs. 23,500 and Rs. 24,435 (iv) Rs. 22,000 and Rs. 25,645 (v) Rs. 24,329 and Rs. 23,445

  1. (ii)

  2. (i)

  3. (iv)

  4. (v)

  5. (iii)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A=30%, B+C+D=70%. C = 1.35B. D = C * (1 - 400/2700) = C * (23/27) = 1.35B * (23/27) = 1.15B. Total B+C+D = B + 1.35B + 1.15B = 3.5B = 70%. So B=20%, C=27%, D=23%. Profit share ratio A:B:C:D = 30:20:27:23. A - D = 7 units = 7875. 1 unit = 1125. B = 20 * 1125 = 22500. D = 23 * 1125 = 25875.

Multiple choice

'B' Invested twice than that of 'A' while 'C invested thrice than that of 'B' and ratio between time period of investment of A, B and C is 6:3:8. If difference between profit share of C and A is Rs.3990, then find total profit of all three together?

  1. Rs. 4,800

  2. Rs. 5,100

  3. Rs. 5,700

  4. Rs. 5,400

  5. Rs. 6,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Investment ratio A:B:C = 1:2:6. Time ratio A:B:C = 6:3:8. Profit ratio = Investment * Time = (1*6):(2*3):(6*8) = 6:6:48 = 1:1:8. Difference between C and A profit = 8x - 1x = 7x = 3990. x = 570. Total profit = 1x + 1x + 8x = 10x = 5700.

Multiple choice

The ratio of investment of A, B, C and D in a business is 2:3:5:7. A and B started the business initially, while C and D joined the business after 4 months. After 1 year the profit of C is equal to the average of the profit of A and D. i.e. 12000 Rs. Then find the Share of B.

  1. 10000 Rs

  2. 10800 Rs

  3. 12000 Rs

  4. 11000 Rs

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

Let investments be 2x, 3x, 5x, 7x. Profits are proportional to (investment * time). A and B invest for 12 months, C and D for 8 months. Profit A = 24x, B = 36x, C = 40x, D = 56x. C's profit (40x) = (24x + 56x) / 2 = 40x. This is an identity, so we need the value 12000. 40x = 12000 implies x = 300. B's share = 36 * 300 = 10800.

Multiple choice

3 partners A, B, C start a business. 4 times of A's capital is equal to 6 times of B's Capital and B's Capital Is 8 times of C's capital if profit of Bis Rs.6300. Then find the average profit A and C

  1. 7000.50

  2. 5118.75

  3. 4475.25

  4. 5181.75

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

4A = 6B and B = 8C. If B = 6,300, then C = 6,300/8 = 787.5. Since 4A = 6(6,300), 4A = 37,800, so A = 9,450. The average of A and C is (9,450 + 787.5)/2 = 5,118.75.

Multiple choice

A, and B invested Rs. 6000 and Rs. 8000 respectively in abusiness. After six months, B withdraws half of hisinvestment. If at the end of the year total profit was Rs.1000, then find the profit share of A?

  1. 450 Rs

  2. 400 Rs.

  3. 550 Rs.

  4. 500 Rs.

  5. 600 Rs.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A's investment is 6000 for 12 months (72,000 unit-months). B's investment is 8000 for 6 months and 4000 for the remaining 6 months (48,000 + 24,000 = 72,000 unit-months). Since their total investment contributions are equal, they split the profit equally, meaning A gets 500 Rs.