Question

After allowing a discount of 12% on the marked price, a shopkeeper still gains 21%. How much (in percentage) is the marked price above the cost price?

• A. 9%
• B. 37.5%
• C. 33%
• D. 16.5%

Hint:

When calculating percentage above cost price, use the formula \( M = \frac{S.P.}{(1 - \text{Discount Percentage})} \).

Answer 1

The Correct Option is B

Given that, discount = 12% and gain = 21% method to solve this question: With the help of the given formula, \[ \text{Required percentage} = \frac{r + R}{100 - r} \times 100 % \] \[ \text{Required percentage} = \frac{12 + 21}{100 - 12} \times 100 \] \[ \text{Required percentage} = \frac{33}{88} \times 100 \] \[ \text{Required percentage} = \frac{300}{8} % = 37.5 % \] Thus, the marked price is 37.5% above the cost price.