Question

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 Rs. 98,000. What was the amount invested by R ?

• A. Rs. 1,05,000
• B. Rs. 1,75,000
• C. Rs. 2,10,000
• D. None of these

Answer 1

The correct option is C Rs. 2,10,000

Let total profit=x
20 % of x=98000
$\Rightarrow \frac{20}{100}x=98000$
$\Rightarrow x=490000$
Share of A=$5x\times 12=60x$
Share of B=$6x\times 12=72x$
Share of C=$6x\times 6=36x$
$\Rightarrow 60x+12x+36x=490000\times 12$
$\Rightarrow 168x=490000\times 12$
$\Rightarrow x=\frac{490000\times 12}{168}\Rightarrow x=35000$
Hence R's investment=$6x=6\times 35000=210000$