This set of Aptitude Questions and Answers (MCQs) focuses on “Partner Retirement”.

1. a and b were partners in a firm with a profit – sharing ratio of 3 : 4. B retired from the partnership find the percentage increase in a’s profit.

a) 100%

b) 133.33%

c) 65.65%

d) 70%

View Answer

Explanation: The initial profit – sharing = 3 : 4

Let the profit – sharing b in terms of x.

The profit share of a = 3x and the profit share of b = 4x

After b retired the share of a = 3x + 4x = 7x

The difference = 7x – 3x = 4x

The percentage change = 4x / 3x * 100 = 133.33%

2. A and b were partners in a firm with a profit – sharing ratio of 45 : 46. If b retired after 6 months of the commencement of the business, find the profit – sharing ratio after 1 year.

a) 23 : 45

b) 45 : 23

c) 24 : 35

d) 35 : 24

View Answer

Explanation: The share of profit of a = 45 * 12 = 540

The share of profit of b = 46 * 6 = 276

The profit – sharing ratio = 540 : 276 = 45 : 23

3. A and b were partners in a firm with a profit – sharing ratio of 4 : 5. If a retired after 3 months of the commencement of the business and was given a sum of 12000 rupees after 1 year as his share of profit, find the share of profit of b.

a) 60000 rupees

b) 54000 rupees

c) 55000 rupees

d) 72000 rupees

View Answer

Explanation: The profit – sharing ratio of a to b:

The share of a to b = 4 * 3 : 5 * 12 = 1 : 5

The share of profit of a = 1 out of 6

The share of profit of a = 12000 rupees

The total profit = 12000 / 1 * 6 = 72000 rupees

The share of profit of b = 72000 / 6 * 5 = 60000 rupees

4. a and b were partners in a business with a profit – sharing ratio of 9 : 5. If b retired after 4 months of commencement of the business and the share of profit of a was 81000 rupees after 6 months, find the total profit for 6 months.

a) 121000 rupees

b) 111000 rupees

c) 101000 rupees

d) 91000 rupees

View Answer

Explanation: A worked for all the 6 months and b retired after 4 months of the commencement of the business.

The ratio of share of profit of a to b = 9 * 6 : 5 * 4 = 54 : 20 = 27 : 10

27 part of the profit = 81000

10 parts of the profit = 81000 / 27 * 10 = 30000 rupees

The total of the profit = sum of both the shares = 81000 + 30000 = 111000 rupees

5. The profit – sharing ratio of 2 partners a and b at the commencement of the business was 4 : 3. If a retires after 9 months of the commencement of the business and b runs the business after that for an year, find the profit – sharing ratio of b to a after an year.

a) 1 : 2

b) 2 : 1

c) 1 : 1

d) 2 : 3

View Answer

Explanation: The profit – sharing ratio of b to a:

The ratio will be equal to the number of working days of b * b’s initial profit share : the number of working days of a * a’s initial share.

The ratio = 3 * 12 : 4 * 9 = 36 : 36 = 1 : 1

6. A and b were partners in a firm with the profit – sharing ratio of 1 : 1. However, a retired after 25 days of the commencement of the business due to unavoidable circumstances. If the business runs for 120 days, find the profit – sharing ratio at the end of 120 days.

a) 1 : 24

b) 2 : 1

c) 4 : 25

d) 5 : 24

View Answer

Explanation: The share of a = 25 * 1 = 25

The share of b = 120 * 1 = 120

The profit – sharing ratio of a to b = 25 : 120 = 5 : 24

7. A and b were partners in a firm. A invested 12000 on the first day of the business and b invested 30000 after 6 months of the commencement of the business. If a retired after 8 months of the commencement of the business, find the profit – sharing ratio of a to b after a year.

a) 3 : 14

b) 9 : 16

c) 8 : 15

d) 7 : 12

View Answer

Explanation: The profit – sharing ratio of a to b:

The profit – sharing ratio will be a’s investment * a’s time of investment : b’s investment * b’s time of investment = 12000 * 8 : 30000 * 6 = 96000 : 180000 = 8 : 15

8. A and b were partners in a business. B invested 45000 on the first day of the business and a contributes 20000 monthly for the first 3 months. If the profit after 6 months of the commencement of the business was 52250 rupees, find the share of a.

a) 22500 rupees

b) 27500 rupees

c) 24750 rupees

d) 22250 rupees

View Answer

Explanation: The share of b = 45000 for 6 months

The share of a = 20000 for the 6 months, 20000 for 5 months and 20000 for 4 months.

The ratio of their shares of profit (b : a) = 45000 * 6 : (20000 * 6 + 20000 * 5 + 20000 * 4) = 270000 : 300000 = 9 : 10

The profit = 52250 rupees

The share of a = 52250 / 19 * 10 = 27500 rupees

9. A and c started business on 1^{st} of January with investments of 600 and 450 rupees, respectively. If a retired on 31^{st} of march and b retired of 31^{st} of September, find their profit – sharing ratio for the profit on 31^{st} of October.

a) 2 : 3

b) 4 : 3

c) 4 : 9

d) 7 : 5

View Answer

Explanation: The profit – sharing ratio of a to b = be a’s investment * a’s time of investment : b’s investment * b’s time of investment = 600 * 3 : 450 * 9 = 1800 : 4050 = 4 : 9

10 A and b were partners in a firm with a profit – sharing ratio of 5 : 4. If a retired 5 months before the profit was distributed. If the profit was distributed after a year of the commencement of the business find the percentage share of b.

a) 57.38%

b) 57.83%

c) 58.78%

d) 58.87%

View Answer

Explanation: The ratio of share of a to b = 5 * 7 : 4 * 12 = 35 : 48

The percentage share of b = 48 / 83 * 100 = 57.83%

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