Two friends P and Q started a business invest | vedclass

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(C) Let the total investment of $P, Q,$ and $R$ be $5y, 6y,$ and $6y$ respectively.$P$ invested for $12$ months,$Q$ invested for $12$ months,and $R$ i

Vedclass · Accepted Answer

$210000$

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(C) Let the total investment of $P, Q,$ and $R$ be $5y, 6y,$ and $6y$ respectively.$P$ invested for $12$ months,$Q$ invested for $12$ months,and $R$ invested for $6$ months.The ratio of their equivalent capitals for one month is:$(5y 	imes 12) : (6y 	imes 12) : (6y 	imes 6) = 60y : 72y : 36y = 5 : 6 : 3$.Total profit is $20\%$ of total investment. Let total investment be $I$.$0.20 	imes I = 98000 \Rightarrow I = 98000 	imes 5 = 490000$.Total ratio sum $= 5 + 6 + 3 = 14$.$R$'s share of investment $= \frac{3}{14} 	imes 490000 = 3 	imes 35000 = 210000$.Thus,the amount invested by $R$ is $₹ 210000$.

Two friends $P$ and $Q$ started a business investing in the ratio of $5:6$. $R$ joined them after six months investing an amount equal to that of $Q$. At the end of the year,$20\%$ profit was earned which was equal to $₹ 98000$. What was the amount invested by $R$?

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