At what percentage above the cost price must an article be marked so as to gain 33% after allowing a customer a discount of 5% ?

A. 40%

B. 45%

C. 35%

D. 47%

Answer: Option A

Solution(By Examveda Team)

Cost Price	:	Marked Price
(100 - Discount%)	:	(100 + Profit%)
100 - 5%	:	100 + 33%
$$\underbrace {95\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,133}_{38}$$

$$\eqalign{ & {\text{Required }}\% = \frac{{38}}{{95}} \times 100 \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 40\% \cr} $$