Shilpa purchases a refrigerator having a list price of Rs. 10,500 at 12% discount. If sales tax is charged @ 5%, then find the amount Shilpa has to pay to the shopkeeper.

Answer

To find the total amount Shilpa has to pay for the refrigerator after applying the discount and sales tax, we can follow these steps:

### Step 1: Calculate the Discount Amount
The list price of the refrigerator is Rs. 10,500, and the discount is 12%.

\[ \text{Discount Amount} = \text{List Price} \times \frac{\text{Discount Percentage}}{100} \]

\[ \text{Discount Amount} = 10,500 \times \frac{12}{100} = 10,500 \times 0.12 = 1,260 \]

### Step 2: Calculate the Price After Discount
Now, subtract the discount amount from the list price to find the price after the discount.

\[ \text{Price After Discount} = \text{List Price} - \text{Discount Amount} \]

\[ \text{Price After Discount} = 10,500 - 1,260 = 9,240 \]

### Step 3: Calculate the Sales Tax
The sales tax is charged at 5% on the price after the discount.

\[ \text{Sales Tax Amount} = \text{Price After Discount} \times \frac{\text{Sales Tax Percentage}}{100} \]

\[ \text{Sales Tax Amount} = 9,240 \times \frac{5}{100} = 9,240 \times 0.05 = 462 \]

### Step 4: Calculate the Total Amount to be Paid
Finally, add the sales tax amount to the price after the discount to find the total amount Shilpa has to pay.

\[ \text{Total Amount} = \text{Price After Discount} + \text{Sales Tax Amount} \]

\[ \text{Total Amount} = 9,240 + 462 = 9,702 \]

### Final Answer
The total amount Shilpa has to pay to the shopkeeper is Rs. 9,702.

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