Subject: General Aptitude · Chapter: Profit and Loss · Exam: · Marks: · Difficulty:
A cloth merchant sold half of his cloth at 20\% profit, half of the remaining at 20\% loss and the rest was sold at the cost price. In the total transaction, his gain or loss will be
(a)Neither loss nor gain
(b)5\% loss
(c)5\% gain
(d)10\% gain
Answer
Answer (as printed): C
Explanation
Let C.P. of whole be ₹ $x$. C.P. of $\frac{1}{2}$ stock $=₹ \frac{x}{2}$, C.P. of $\frac{1}{4}$ stock $=₹ \frac{x}{4}$. $$\begin{aligned} \text { Total S.P. } & =₹\left[\left(120 \% \text { of } \frac{x}{2}\right)+\left(80 \% \text { of } \frac{x}{4}\right)+\frac{x}{4}\right] \\ & =₹\left(\frac{3 x}{5}+\frac{x}{5}+\frac{x}{4}\right)=₹ \frac{21 x}{20} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.