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 -

Answer: Option D

Let the original cost of the article be Rs. P and the profit percent made by the second be x% .
Then,
120% of (100 + x)% of P = 138% of P
$$\begin{array}{rl}& \Rightarrow \frac{120}{100}\times \frac{\left(100+x\right)}{100}=\frac{138}{100}\\ & \Rightarrow \frac{100+x}{100}=\frac{23}{20}\\ & \Rightarrow 100+x=115\\ & \Rightarrow x=15\end{array}$$