How much percentage above the cost price should a shopkeeper mark his goods so that after allowing a discount 25% he should gain 12%?

Correct option is C

Given:
Discount (D) = 25%

Desired Profit (P) = 12%

Formula Used:

To calculate the marked price M , given the cost price C , desired profit percentage P , and discount percentage D , we use the formula:

​$$M = \frac{C \times (100 + P)}{(100 - D)}$$​​

Solution:

Substitute the values of ( P = 12% and D = 25% into the formula:

​$$M = \frac{C \times (100 + 12)}{(100 - 25)}\\\ \\M = \frac{C \times 112}{75}\\\ \\M = C \times \frac{112}{75} = C \times 1.4933$$​​

This means the marked price should be approximately 149.33% of the cost price.

Therefore, the shopkeeper should mark his goods at 49.33% above the cost price to achieve a 12% gain after allowing a 25% discount.