Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Profit and Loss

Question:

A, B and C started a business each investing ₹20000. After 5 months 'A' withdrew ₹5000, N withdrew ₹4000 and C invested ₹6000 more. At the end of the year a total profit of ₹69900 was recorded. Find the share (in ₹) of A, B and C respectively in the profit.

Options:

20500, 21200, 22800

20400, 28200, 21300

20500, 21200, 28200

21200, 20300, 28400

Correct Answer:

20500, 21200, 28200

Explanation:

We have,

A investing Rs. 20000 for 5 months and 15000 for 7 months

B investing Rs. 20000 for 5 months and 16000 for 7 months

C investing Rs. 20000 for 5 months and 26000 for 7 months

The total profit is 69900.

The ratio of profit will be the same as the ratio of the investment made.

The ratio of the capitals of A, B, and C

= 20000×5+15000×7: 20000×5+16000×7: 20000×5+26000×7

= 205000: 212000: 282000

= 205: 212: 282

The Total profit is 69900

A's share = 205/699 × 69900 = 20500

B's share = 212/699 × 69900 = 21200

C's share = 282/699 × 69900 = 28200