Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2006 · Marks: · Difficulty:
An article passing through two hands is sold at a profit of 38\% at the original cost price. If the first dealer makes a profit of 20\%, then the profit percent made by the second is
(a)5
(b)10
(c)12
(d)15
Answer
Answer (as printed): D
Explanation
Let the original cost of the article be ₹ $P$ and the profit percent made by the second be $x \%$. Then, $120 \%$ of $(100+x) \%$ of $\mathrm{P}=138 \%$ of P $$\begin{gathered} \Rightarrow \frac{120}{100} \times \frac{(100+x)}{100}=\frac{138}{100} \Rightarrow \frac{100+x}{100}=\frac{23}{20} \\ \Rightarrow 100+x=115 \Rightarrow x=15 . \end{gathered}$$
Explanation as extracted from the printed page; notation may be imperfect.