Question

The price of a jewel passing through three hands rises on the whole by $65\%$. If the first and the second sellers earned $20\%$ and $25\%$ profit, respectively, then what is the profit earned by the third seller ?

• A. $5\%$
• B. $10\%$
• C. $15\%$
• D. $20\%$

Answer 1

Answer: (B)

$10\%$

Let the original price of the jewel be Rs. $P$ and the profit earned by the third seller be $x\%$

S.P. of 1st seller = $Rs.\frac{120}{100}\times$ P = C.P. of 2nd seller

S.P of 2nd seller =$Rs.\frac{125}{100}\times \frac{120P}{100}=$ C.P. of 3rd seller

$\therefore$S.P. of 3rd seller =$Rs.\frac{(100+x)}{100}\times \frac{125}{100}\times \frac{120P}{100}$

Given $\frac{(100+x)}{100}\times \frac{125}{100}\times \frac{120P}{100}=\frac{165P}{100}$

$\Rightarrow (100+x)=\frac{2}{3}\times 165=110\Rightarrow x=110-100=10\%$

Hence option $\left(B\right)$ os correct option