Profit And Loss Ques 15
Question.
A trader has $400 kg$ of rice. He sells a part of it at a profit of $36 \%$ and remaining part at a loss of $24 \%$. He overall loses $12 \%$ in the whole transaction. Find the quantity of rice sold at $24 \%$ loss.
(1) $320 kg$
(2) $330 kg$
(3) $300 kg$
(4) $350 kg$
(5) None of these
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015 Ist Sitting)
Show Answer
Correct Answer: (1)
Solution: (1)
Let the cost price of rice per $kg$ be Rs. 1 .
Quantity of rice sold at $24 \%$ loss $=x kg$.
$\therefore$ Quantity of rice sold at $36 \%$ profit $=(400-x) kg$
According to the question,
$x \times(100-24) \%+(400-x) \times$
$\frac{136}{100}=400 \times(100-12) \%$
$\Rightarrow \frac{x \times 76}{100}+(400-x) \times \frac{136}{100}$ $=\frac{400 \times 88}{100}$
$\Rightarrow 76 x+400 \times 136-136 x$ $=400 \times 88$
$\Rightarrow 136 x-76 x=400(136-88)$
$\Rightarrow 60 x=400 \times 48$
$\Rightarrow x=\frac{400 \times 48}{60}=320 kg$.
BETA
