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A and B started a business with Rs. 16,000 and Rs. 12,000 respectively as investments. After 3 months A withdrew Rs. 5,000 and B invested Rs. 5,000 more. After 3 more months C joins the business by investing Rs. 21,000. After a year they got a total profit of Rs. 26,400.

Observe the following statements

(a) The profit must be shared among A, B, C in the ratio 7 : 9 : 6

(b) (Profit of B – Profit of C) = Rs. 3,600

(c) A’s profit is Rs. 16,000

The correct answer is


1. (a), (b) are correct
2. (b), (c) are correct
3. (a), (c) are correct
4. All (a), (b), (c) are correct

1 Answer

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Best answer
Correct Answer - Option 1 : (a), (b) are correct

Given:

A's share = Rs. 16000

B's share = Rs. 12000

C's share = Rs. 21000

Total profit = Rs. 26400

Calculation:

A's share = Rs. 16000

B's share = Rs. 12000

C's share = Rs. 21000

A's investment in 3 months = 3 × 16000 = Rs. 48000

After 3 months A withdraw Rs. 5000

A's final profit in one year = 48000 + 9(16000 - 5000) = Rs. 147000

B's investment in 3 months = 3 × 12000 = Rs. 36000

After 3 months B invested Rs. 5000 more

B's final profit in one year = 36000 + 9(12000 + 5000) = Rs. 189000

C invest after 6 months = 6 × 21000 = Rs. 126000

The ratio of three shares = 147000 : 189000 : 126000 = 7 : 9 : 6

Total share = 22

Total profit = Rs. 26400

Difference between B's and C's profit =  (9 - 6)/(22) × 26400

Difference between B's and C's profit = (3/22) × 26400 = Rs. 3600

Share of A = (7/22) × 26400 = Rs. 8400

a and b are correct statement

∴ The correct answer is option 1.

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