Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2006 · Marks: · Difficulty:
By selling an article at $\frac{2}{3}$ of the marked price, there is a loss of 10\%. The profit percent, when the article is sold at the marked price, is
(a)20\%
(b)30\%
(c)35\%
(d)40\%
Answer
Answer (as printed): C
Explanation
Let the M.P. be ₹ $x$. Then, S.P. $=₹ \frac{2}{3} x$, Loss $=10 \%$. $$\text { C.P. }=₹\left(\frac{100}{90} \times \frac{2}{3} x\right)=₹ \frac{20}{27} x \text {. }$$ If an article is sold at M.P., then $$\begin{aligned} & \text { Profit }=₹\left(x-\frac{20}{27} x\right)=₹ \frac{7 x}{27} . \\ & \therefore \text { Profit } \%=\left(\frac{7 x}{27} \times \frac{27}{20 x} \times 100\right) \%=35 \% . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.