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 started a business with a capital of Rs. 1,12,000. After 2 months, B joined the business with a capital of Rs. 80,000, and after another 2 months, C joined the business with a capital of Rs. 72,000. After 10 months from the start of the business, B withdrew 8,000 and C also withdrew Rs. 8,000. If B received Rs. 9,800 as his share in the profit at the end of a year, then the total profit was:

  1. Rs. 35,800

  2. Rs. 30,800

  3. Rs. 32,400

  4. Rs. 33,600
Reveal answer Fill a bubble to check yourself
D Correct answer
Multiple choice

Ashok, Ganesh and Logu started a business by investing Rs. 34000, Rs. 26000 and Rs. 38000 respectively. Ashok is a working partner and Ganesh and Logu is sleeping partner in a business. For managing the business, Ashok receives 10 % of profit. Find the difference between the share of Ashok and Logu, if the total profit at the end of the year is Rs. 73500?

  1. Rs. 4650

  2. Rs. 5280

  3. Rs. 4320

  4. Rs. 5860

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

Ashok gets 10% of 73500 = 7350. Remaining profit = 66150. Ratio of investments: 34:26:38 = 17:13:19. Total parts = 49. Ashok's share = 7350 + (17/49)*66150 = 7350 + 22950 = 30300. Logu's share = (19/49)*66150 = 25650. Difference = 30300 - 25650 = 4650.

Multiple choice

Andrew and Brianne started a partnership firm by investing their capitals in the ratio 4 : 5. After 3 months, Andrew withdrew 1 4 th of his capital and Brianne withdrew 1 5 th of her capital. The total profit after the end of the 10th month is $760. What is the share of Andrew in the profit?
  1. $430
  2. $330
  3. $550
  4. $770
  5. $660
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Andrew's investment: (4*3) + (3*7) = 12 + 21 = 33. Brianne's investment: (5*3) + (4*7) = 15 + 28 = 43. Total ratio 33:43. Andrew's share = (33/76) * 760 = 330.

Multiple choice

Ajay starts a fruit business with an investment of Rs. 20,000. After 3 months, Atul joins him with an investment of Rs. 30,000. At the end of 1 year from the start of the business, they generate a profit of Rs. 34,000. How much should be Ajay's share (in Rs.) from the total profit?

  1. 18000

  2. 16000

  3. 20000

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

Ajay's investment = 20000 * 12 = 240000. Atul's investment = 30000 * 9 = 270000. Ratio = 24:27 = 8:9. Ajay's share = (8/17) * 34000 = 16000.

Multiple choice

Elon and Amber start a business together with respective investments Rs. 30,000 and Rs. 40,000. At the end of twelve years, they earn a total profit of Rs. 21,00, 000. How much should be Amber's share (in Rs.) from the total profit?

  1. 10,00,000

  2. 15,00,000

  3. 12,00,000

  4. 9,00,000
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Profit is shared in the ratio of investments. Elon and Amber invested 30,000 and 40,000, so the ratio is 3:4. Amber's share is (4 / (3 + 4)) * 21,00,000 = 4/7 * 21,00,000 = 12,00,000.

Multiple choice

Three partners Mr. X, Mr. Y and Mr. Z started a shop with amounts of Rs. 28,000, Rs. 56,000 and Rs. 98,000, respectively. After the end of one quarter, they earned a profit of Rs. 1,56,000 and divided it among themselves in ratio of their investments. Find the share of profit received by Mr. Y.

  1. Rs. 48,000

  2. Rs. 40,000

  3. Rs. 45,000

  4. Rs. 58,000

  5. Rs. 36,000
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The ratio of investments is 28,000 : 56,000 : 98,000, which simplifies to 2 : 4 : 7. The total profit is 156,000. Mr. Y's share is (4 / (2+4+7)) * 156,000 = (4/13) * 156,000 = 4 * 12,000 = 48,000.

Multiple choice

Veer and Manyu entered into a business by investing Rs. 6000 and Rs. 8000 for x and (x+4) months respectively. At the end, profit share of Veer is 3900 Rs. less than profit share of Manyu. Find the value of x if total profit is Rs. 12900. (in months)

  1. 12

  2. 8

  3. 6

  4. 10

  5. 4
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Ratio of investments: 6000x : 8000(x+4) = 3x : 4(x+4). Profit share difference: (4(x+4) - 3x) / (3x + 4x + 16) * 12900 = 3900. (x+16)/(7x+16) = 3900/12900 = 39/129 = 13/43. 43x + 688 = 91x + 208. 48x = 480. x = 10.

Multiple choice

Directions: The question below contains a statement followed by Quantity I and Quantity II. Find both the quantities to determine the relationship among them and mark your answer accordingly. Lovely, Isha and Sweta are three partners in a business. Lovely invests Rs. 2000 for 4 months, Isha invests Rs. 1500 for 5 months and Suman invests Rs. 700 for 1 year. At the end of the one year, the total profit is Rs. 2390. Quantity I: Lovely's share in profit Quantity II: Isha's share in profit

  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 the relationship cannot be established from the information given.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Profit shares are proportional to investment multiplied by time. Lovely's ratio unit is 2000 × 4 = 8000, while Isha's is 1500 × 5 = 7500, so Lovely receives more profit.

Multiple choice

Raj invested Rs. 76,000 in a business. After few months Monty joined him and invested Rs. 57,000. At the end of the year, both of them shared the profits in the ratio of 2 : 1. After how many months did Monty join Raj?

  1. 4 months

  2. 7 months

  3. 8 months

  4. 12 months
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Raj's investment: 76000 * 12. Monty's investment: 57000 * (12 - x). Profit ratio: (76000 * 12) / (57000 * (12 - x)) = 2 / 1. 912000 / (57000 * (12 - x)) = 2. 912 / (57 * (12 - x)) = 2. 912 = 114 * (12 - x). 8 = 12 - x, so x = 4.