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1. 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

Solution:

Let the total investment be Rs. z
Then,

\begin{aligned} 20 % of z = 98000 \\ \Leftrightarrow z = (\frac{98000 \times 100}{20}) \\ \Leftrightarrow z = 490000 \end{aligned}

Let the capital of P, Q and R be
Rs. 5x, Rs. 6x and Rs. 6x respectively
Then,

\Leftrightarrow (5 x \times 12)

(6 x \times 12)

(6 x \times 6)

490000 \times 12

\begin{aligned} \Leftrightarrow 168 x = 490000 \times 12 \\ \Leftrightarrow x = (\frac{490000 \times 12}{168}) \\ \Leftrightarrow x = 35000 \\ ∴ R's investment \\ = Rs . 6 x \\ = Rs . (6 \times 35000) \\ = Rs . 210000 \end{aligned}

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