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For a business, initially A invests Rs. 28,000 and B invests Rs. 30,000. After 4 months, C joins and invests Rs. 16,000 and B withdraws Rs. 4,000. After another 4 months, A invests Rs. 6,000 more and C invests Rs. 4,000 more. After a year the profit earned was Rs. 72,800. How much is A’s, B’s and C’s share?

For a business, initially A invests Rs. 28,000 and B invests Rs. 30,000. After 4 months, C joins and invests Rs. 16,000 and B withdraws Rs. 4,000. After another 4 months, A invests Rs. 6,000 more and C invests Rs. 4,000 more. After a year the profit earned was Rs. 72,800. How much is A’s, B’s and C’s share? Correct Answer A = Rs. 31,500 B = Rs. 28,700 C = Rs. 12,600

Ratio of their share in profit = Ratio of their investments

⇒ 28000 × 8 + 34000 × 4 ∶ 30000 × 4 + 26000 × 8 ∶ 16000 × 4 + 20000 × 4

Thus, ratio of their investments = 360000 ∶ 328000 ∶ 144000 = 360 ∶ 328 ∶ 144 = 45 ∶ 41 ∶ 18

Profit earned after a year = Rs. 72,800

A’s share = (45/104) × 72800 = Rs. 31500

B’s share = (41/104) × 72800 = Rs. 28700

C’s share = (18/104) × 72800 = Rs. 12600

Thus, A’s share is Rs. 31,500, B’s share is Rs. 28,700 and C’s share is Rs. 12,600.

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