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In a business, A and B invested a total amount of Rs. 36,000, with A investing five times B. After eight months, C invested Rs. 40,000 and A withdrew Rs. 10,000. If A’s share after a year of business was Rs. 16,000, then what is C’s share?1). Rs. 3,6002). Rs. 8,0003). Rs. 14,7804). Rs. 17,900 |
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Answer» Let B’s INITIAL investment be x. ∴ A’s initial investment is 5x. 5x + x = RS. 36,000 ∴ x = Rs. 6,000 ∴ 5x = Rs. 30,000 Ratio of their share in profit = Ratio of their investments ⇒ 30000 × 8 + 20000 × 4 ? 6000 × 12 ? 40000 × 4 = Rs. 1,60,000 Thus, ratio of their investments = 320000 ? 72000 ? 160000 = 40 ? 9 ? 20 Profit earned after a year = x A’s share = 16000 = (40/69) × x ∴ x = Rs. 27,600 ∴ C’s share = (20/69) × 27600 = 8000 ∴ C’s share is Rs. 8,000. |
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