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In a business, A had initially invested Rs. 8,900 and C had invested Rs. 7,600. After four months, B joined and invested Rs. 12,600 and C withdrew all his investments and left the business but joined the business again after two months and invested Rs. 16,400. After a year from the start of the business, A’s share was Rs. 5,340. What is C’s share?

In a business, A had initially invested Rs. 8,900 and C had invested Rs. 7,600. After four months, B joined and invested Rs. 12,600 and C withdrew all his investments and left the business but joined the business again after two months and invested Rs. 16,400. After a year from the start of the business, A’s share was Rs. 5,340. What is C’s share? Correct Answer Rs. 6,440

Ratio of their share in profit = Ratio of their investments

⇒ 8900 × 12 ∶ 12600 × 8 ∶ 7600 × 4 + 16400 × 6

Thus, ratio of their investments = 106800 ∶ 100800 ∶ 128800 = 267 ∶ 252 ∶ 322

Profit earned after a year = x

A’s share = 5340 = (267/841) × x

∴ x = Rs. 16,820

∴ C’s share = (322/841) × 16820 = 6440

∴ C’s share is Rs. 6,440

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