Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A fruitseller has 24 kg of apples. He sells a part of these at a gain of 20\% and the balance at a loss of 5\%. If on the whole he earns a profit of 10\%, the amount of apples sold at a loss is
(a)4.6 kg
(b)6 kg
(c)9.6 kg
(d)11.4 kg
Answer
Answer (as printed): C
Explanation
Let the quantity sold at a loss be $x \mathrm{kg}$ and let C.P. per kg be ₹ 1. Total C.P. $=₹ 24$. Total S.P. $=₹[120 \%$ of $(24-x)+95 \%$ of $x]$ $$\begin{aligned} & \therefore \frac{576-5 x}{20}=110 \% \text { of } 24 \Rightarrow \frac{576-5 x}{20} \\ & =₹\left[\frac{6}{5}(24-x)+\frac{19 x}{20}\right]=₹\left(\frac{576-5 x}{20}\right) \\ & =\frac{264}{10} \Rightarrow 576-5 x=528 \\ & \Rightarrow 5 x=48 \Rightarrow x=9.6 \mathrm{kg} . \end{aligned}$$