A and B started a business by investing in the ratio of 7: 10. C joins after 3 months with the investment one and a half of that of A. At the end of 1 year, out of the total profit, C’s share was Rs 12600, then what was the total profit (in Rs.)?
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29800
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39800
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19800
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38500
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None of these
B
Correct answer
Explanation
A invests 7x for 12 months = 84x. B invests 10x for 12 months = 120x. C joins after 3 months with 1.5 × 7x = 10.5x for 9 months = 94.5x. Total ratio = 84:120:94.5 = 168:240:189. C's share = 189/(168+240+189) = 189/597 = 0.317. If 0.317 × profit = 12600, total profit = 12600/0.317 = 39748 ≈ 39800. Answer B is correct.