# 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 mo

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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

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

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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.