For a certain article. If discount is 25% the profit is 25%. If the discount is 10%, then the profit is = ?

A. 50%

B. 40%

C. 30%

D. $$33\frac{1}{3}\% $$

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{For same article}}, \cr & \frac{{100 - {d_1}}}{{100 - {d_2}}} = \frac{{100 + {g_1}}}{{100 + {g_2}}} \cr & \Rightarrow \frac{{100 - 25}}{{100 - 10}} = \frac{{100 + 25}}{{100 + {g_2}}} \cr & \Rightarrow \frac{{75}}{{90}} = \frac{{125}}{{100 + {g_2}}} \cr & \Rightarrow 100 + {g_2} = \frac{{90 \times 125}}{{75}} \cr & \Rightarrow 100 + {g_2} = 150 \cr & \therefore {g_2} = 50\% \cr} $$