A merchant fixes the marked price of his goods at 50% above the cost price. He sells his goods at 12% discount. His percentage of profit is:

Correct option is B

Given:
Let the Cost Price (CP) = 100
Marked Price is 50% above the Cost Price
Discount given = 12%
Formula Used:
​$$\text{Marked Price} = \text{CP} \times \left(1 + \frac{\text{Increase}\%}{100}\right)\\\ \\\text{Selling Price} = \text{MP} \times \left(1 - \frac{\text{Discount}\%}{100}\right)\\\ \\\text{Profit \%} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100$$​​
Solution:
Let Cost Price (CP) = 100
Marked Price (MP) = 100 × (1 + $$\frac{50}{100}$$​) = 150

Selling Price (SP) = 150 × (1 − $$\frac {12}{100}$$) = 132
Profit = SP − CP = 132 − 100 = 32
Profit Percentage = $$\frac{32}{ 100}$$​ × 100 = 32%