This set of Aptitude Questions and Answers (MCQs) focuses on “Partnership – Set 5”.

1. A and B commenced business with 54600 rupees each. After 4 months C entered the business with an investment of 32760 rupees. Find the profit – sharing ratio after 6 months.

a) 2 : 2 : 1

b) 3 : 3 : 1

c) 4 : 4 : 1

d) 5 : 5 : 1

View Answer

Explanation: Investment of A = 54600 rupees for 6 months

Investment of B = 54600 for 6 months

Investment of C = 32760 for 2 months

Profit sharing ratio after 6 months = 54600 * 6 : 54600 * 6 : 32760 * 2 = 327600 : 327600 : 40000 = 32760 : 32760 : 6552 = 5 : 5 : 1

2. A and B started business with 1200 and 1800 rupees, respectively. C joined then after 20 days with 2400 rupees. Find their profit – sharing ratio after 50 days.

a) 12 : 15 : 10

b) 10 : 12 : 15

c) 12 : 15 : 11

d) 10 : 15 : 12

View Answer

Explanation: A’s investment = 1200 rupees for 50 days

B’s investment = 1800 rupees for 50 days

C’s investment = 2400 for 30 days

Profit sharing ratio after 50 days = 1200 * 50 : 1800 * 50 : 2400 * 30 = 60 : 90 : 72 = 10 : 15 : 12

3. A started the business with 1000 rupees. B joined him after 10 days with 2000 rupees and C joined them after 10 days further with 3000 rupees. Find their profit – sharing ratio after 30 days.

a) 2 : 3 : 2

b) 3 : 4 : 3

c) 4 : 5 : 4

d) 5 : 6 : 5

View Answer

Explanation: A’s investment = 1000 rupees for 30 days

B’s investment = 2000 for 20 days

C’s investment = 3000 for 10 days

Profit sharing ratio after 30 days = 1000 * 30 : 2000 * 20 : 3000 * 10 = 3 : 4 : 3

4. A invested 2500 in a business at the time of its commencement. B invested 4500 in the business after 5 months. C invested 18000 in the business after 3 months further. If the profit at the end of the first year was 12000 find the amount received by C.

a) 19 : 20 : 47

b) 20 : 21 : 48

c) 21 : 22 : 49

d) 22 : 23 : 50

View Answer

Explanation: The investment of A = 2500 for 12 months

The investment of B = 4500 for 7 months

The investment of C = 18000 for 4 months

The profit – sharing ratio of A to B to C = 2500 * 12 : 4500 * 7 : 18000 * 4 = 300 : 315 : 720 = 20 : 21 : 48

5. A, B and C invested in a company in the ratios 2 : 3 : 4 at a gap of 2 months, respectively. If A invested 3 months after the commencement of the business, find the profit – sharing ratio after 12 months of the commencement of the business.

a) 21 : 20 : 18

b) 12 : 21 : 20

c) 21 : 18 : 20

d) 18 : 21 : 20

View Answer

Explanation: The investments of A, B and C are in a ratio 2 : 3 : 4.

Let these ratios be in terms of x.

The investment of A = 2x for 9 months

The investment of B = 3x for 7 months

The investment of C = 4x for 5 months

The profit – sharing ratio of the partners after 12 months of the commencement of the business = 2x * 9 : 3x * 7 : 4x * 5 = 18x : 21x : 20x = 18 : 21 : 20

6. A and B started a business with 20000 and 40000, respectively. C was admitted to the business after 8 months of commencement with 120000 as investment. Find the share of profit of C in percentage.

a) 25%

b) 30%

c) 40%

d) 60%

View Answer

Explanation: Investment of A = 20000 for 12 months

Investment of B = 40000 for 12 months

Investment of C = 120000 for 4 months

Total share of C = 480000 / 1200000 * 100 = 40%

7. X and Y were partners in a firm with a capital of 2400 and 2500, respectively. C is admitted to the firm after 12 days of establishment with 4500 rupees. If the profit after a month is 1230 rupees, find the share of C.

a) 439.67 rupees

b) 436.97 rupees

c) 496.33 rupees

d) 469.33 rupees

View Answer

Explanation: The investment of X = 2400 rupees for 30 days

The investment of Y = 2500 rupees for 30 days

The investment of C = 4500 for 18 days

The profit – sharing ratio of X, Y and C = 2400 * 30 : 2500 * 30 : 4500 * 18 = 72000 : 75000 : 81000 = 24 : 25 : 27

The share of C = 1230 / 76 * 27 = 436.97 rupees

8. The profit – sharing ratio of two partners is 2 : 3 if another partner is added with 40% of the profit – sharing ratio and the profit – sharing ratio of the initial two partners remains the same. Find the new profit – sharing ratio.

a) 5 : 7 : 9

b) 6 : 7 : 9

c) 6 : 8 : 9

d) 6 : 9 : 10

View Answer

Explanation: The initial profit – sharing ratio of the two partners = 2 : 3

The new ratio:

The share of the third partner = 40%

The remaining = 60%

The ratio of the first two partners from the remaining = 2 : 3

2 : 3 from 60% = 24%, 36%

The ratio = 24 : 36 : 40 = 6 : 9 : 10

9. The profit – sharing ratio of A to B is 1 : 4. If C is admitted to the partnership with a profit – sharing percentage of 50%, find the new profit – sharing ratio.

a) 1 : 4 : 5

b) 1 : 4 : 3

c) 1 : 4 : 6

d) 1 : 4 : 4

View Answer

Explanation: The initial profit – sharing ratio = 1 : 4

The profit guaranteed to the third partner = 50% profit

The new profit – sharing ratio:

New ratio of A to B = 1 : 4 of the remaining 50%

A : B : C = 10 : 40 : 50 = 1 : 4 : 5

10. X and Y were partners with a profit – sharing ratio of 4 : 3. If Z is admitted to the firm with 30% profit sharing percentage, find the new profit – sharing ratio.

a) 2 : 4 : 4

b) 3 : 4 : 4

c) 4 : 3 : 3

d) 4 : 5 : 5

View Answer

Explanation: The initial ratio = 4 : 3

The percentage of Z = 30%

The remaining percentage = 70%

The ratio of division of remaining 70% = 4 : 3 = 40% and 30%

The new ratio = 40 : 30 : 30 = 4 : 3 : 3

To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.