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 -

Solution (By Examveda Team)

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
$$\eqalign{ & \Rightarrow \frac{{120}}{{100}} \times \frac{{\left( {100 + x} \right)}}{{100}} = \frac{{138}}{{100}} \cr & \Rightarrow \frac{{100 + x}}{{100}} = \frac{{23}}{{20}} \cr & \Rightarrow 100 + x = 115 \cr & \Rightarrow x = 15 \cr} $$