A shopkeeper fixes the marked price of an item 35% above its cost price. The percentage of discount allowed to gain 8% is = ?

A. 20%

B. 27%

C. 31%

D. 43%

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Let C}}{\text{.P}}{\text{.}} = {\text{Rs}}{\text{. 100}}{\text{}} \cr & {\text{Then,}} \cr & {\text{M}}{\text{.P}}{\text{. = Rs}}{\text{. 135,}} \cr & {\text{S}}{\text{.P}}{\text{. }} = {\text{Rs}}{\text{.108}}{\text{}} \cr & \therefore {\text{Discount }}\% \cr & = \left( {\frac{{27}}{{135}} \times 100} \right)\% \cr & = 20\% \cr} $$