A shopkeeper marks up his wares by 60% and offers 10% discounts. What will be the selling price (in Rs.) if the cost price is Rs. 7500 ?

Options

A. 11800
B. 12800
C. 13800
D. 10800

Answer

To find the selling price after a markup and discount, we can follow these steps:

### Step 1: Calculate the Marked Price
The shopkeeper marks up his wares by 60%. The cost price (CP) is Rs. 7500.

To find the marked price (MP), we use the formula:
\[ \text{Marked Price} = \text{Cost Price} + \text{Markup} \]
Where:
\[ \text{Markup} = \text{Cost Price} \times \frac{\text{Markup Percentage}}{100} \]

Calculating the markup:
\[ \text{Markup} = 7500 \times \frac{60}{100} = 7500 \times 0.6 = 4500 \]

Now, we can find the marked price:
\[ \text{Marked Price} = 7500 + 4500 = 12000 \]

### Step 2: Calculate the Selling Price after Discount
The shopkeeper offers a discount of 10% on the marked price.

To find the selling price (SP), we can use the formula:
\[ \text{Selling Price} = \text{Marked Price} - \text{Discount} \]
Where:
\[ \text{Discount} = \text{Marked Price} \times \frac{\text{Discount Percentage}}{100} \]

Calculating the discount:
\[ \text{Discount} = 12000 \times \frac{10}{100} = 12000 \times 0.1 = 1200 \]

Now, we can find the selling price:
\[ \text{Selling Price} = 12000 - 1200 = 10800 \]

### Final Answer
The selling price of the item is Rs. 10800.

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