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

A. Rs. 105000 B. Rs. 175000 C. Rs. 210000 D. Data inadequate Answer: Option C
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Solution(By Apex Team)

Let the total investment be Rs. z Then, $\begin{array}{l}20\%\text{ of }z=98000\\ \Leftrightarrow z=\left(\Large\frac{98000\times100}{20}\right)\\ \Leftrightarrow z=490000\end{array}$ Let the capital of P, Q and R be Rs. 5x, Rs. 6x and Rs. 6x respectively Then, $\begin{array}{l}\Leftrightarrow(5x\times12)+(6x\times12)+(6x\times6)=490000\times12\\ \Leftrightarrow168x=490000\times12\\ \Leftrightarrow x=\left(\Large\frac{490000\times12}{168}\right)\\ \Leftrightarrow x=35000\end{array}$ $\begin{array}{l} \therefore \text { R’s investment }\\ =\operatorname{Rs.} 6 x\\ =\text { Rs. }(6 \times 35000)\\ =\text { Rs. } 210000 \end{array}$

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