###
**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**

## Show Answer

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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