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's. At the end of the year, 20% profit was earned which was equal to ₹ 98,000. What was the amount invested by R?
(a)₹ 105000
(b)₹ 175000
(c)₹ 210000
(d)Data inadequate
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the total investment be ₹$z$. Then, $20\%$ of $z=98000 \Leftrightarrow z=\left(\frac{98000\times100}{20}\right)=490000$. Let the capitals of P, Q and R be ₹$5x$, ₹$6x$ and ₹$6x$ respectively. Then, $(5x\times12)+(6x\times12)+(6x\times6)=490000\times12$ $\Leftrightarrow 168x=490000\times12 \Leftrightarrow x=\left(\frac{490000\times12}{168}\right)=35000$. $\therefore$ R's investment $=6x=₹(6\times35000)=₹210000$.
Explanation as extracted from the printed page; notation may be imperfect.