Profit And Loss Ques 16
Question.
A trader has $600 kgs$ of rice, a part of which he sells at $15 \%$ profit and the remaining quantity at $20 \%$ loss. On the whole, he incurs an overall loss of $6 \%$. What is the quantity of rice he sold at $20 \%$ loss ?
(1) $250 kgs$
(2) $320 kgs$
(3) $420 kgs$
(4) $360 kgs$
(5) $480 kgs$
(IBPS Bank PO/MT CWE-V (Preliminary) 10.10.2015)
Show Answer
Correct Answer: (4)
Solution: (4)
Quantity of rice sold at $20 \%$ loss $=x kg$ (let)
$\therefore$ Quantity of rice sold at $15 \%$ gain $=(600-x) kg$
According to the question,
$(600-x) \times \frac{115}{100}+\frac{x \times 80}{100}$ $=\frac{600 \times 94}{100}$
$\Rightarrow 115 \times 600-115 x+80 x$ $=600 \times 94$
$\Rightarrow 69000-35 x=56400$
$\Rightarrow 35 x=69000-56400$
$\Rightarrow 35 x=12600$
$\Rightarrow x=\frac{12600}{35}=360 kg$
BETA
