A, B and C start a business by investing Rs. | vedclass

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(B) Let $x$ be $A$'s profit share and $y$ be $B$'s profit share.For $A$,the compound interest formula is $CI = P[(1 + r/100)^n - 1]$.Given $2520 = x[(

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$15000$

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(B) Let $x$ be $A$'s profit share and $y$ be $B$'s profit share.For $A$,the compound interest formula is $CI = P[(1 + r/100)^n - 1]$.Given $2520 = x[(1 + 10/100)^2 - 1] = x[(1.1)^2 - 1] = x[1.21 - 1] = 0.21x$.$x = 2520 / 0.21 = 12000$.For $B$,the simple interest is given as $4200$ for $1$ year at $20\%$.$4200 = (y 	imes 20 	imes 1) / 100 \Rightarrow 4200 = 0.2y \Rightarrow y = 4200 / 0.2 = 21000$.Total profit is $42000$. So,$C$'s profit share $= 42000 - (12000 + 21000) = 42000 - 33000 = 9000$.The ratio of profit shares of $A:B:C = 12000:21000:9000 = 12:21:9 = 4:7:3$.Since the investment ratio is proportional to the profit share ratio,$C$'s investment $= [3 / (4+7+3)] 	imes 70000 = (3/14) 	imes 70000 = 3 	imes 5000 = 15000$.

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