A shopkeeper mark up 60% above cost price of an article and allows three successive discounts of 20%, 12.5% and 'd' % and made a profit of 7.52%. If shopkeeper allows only first and third discounts, then find profit percentage earned by shopkeeper?

Options

A. `22.88%`
B. `20.80%`
C. `18.88%`
D. `24.80%`

Answer

To solve the problem step by step, we need to break down the information given and apply the formulas related to profit, loss, and discounts.

### Step 1: Determine the Cost Price (CP) and Marked Price (MP)
Let the cost price of the article be \( CP \).

The shopkeeper marks up the price by 60%, so the marked price \( MP \) is calculated as:
\[ MP = CP + 0.6 \times CP = 1.6 \times CP \]