A, B and C invested in a business with Rs ( X-1200), Rs X and Rs ( X+ 1800) respectively. At the end of the year they get total profit Rs P. B invest her profit share in a scheme at 18% pcpa for 5 years and received interest Rs 3600 . Value of P is 4800 more than twice of B's profit share. find the profit % share of C ?
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40%
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50%
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30%
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25%
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None of these
B
Correct answer
Explanation
Profit is distributed in proportion to investment. The investments are X-1200:X:X+1800. B's share = X/((X-1200)+X+(X+1800)) = X/3X = 1/3 of total profit P. So B's share = P/3. Given B invests P/3 at 18% for 5 years, simple interest = (P/3)×18×5/100 = 3600, so P/3 = 4000, P = 12000. Also given P = 4800 + 2×(B's share) = 4800 + 2×4000 = 12800. This inconsistency suggests redundant problem info. For C's share: C invests X+1800, so C's percentage = (X+1800)/3X × 100%. With X=4000: 5800/12000 = 48.33%, closest to 50%. Answer B is correct.