Question

A shopkeeper marked a pressure cooker at ₹1800. The rate of GST on the pressure cooker is 12%. The customer has only ₹1792 and requests the shopkeeper to reduce the price so that he can buy the cooker for ₹1792. What percent discount must the shopkeeper give?

विकल्प

• 10%

• `11 1/9`%

• 12%

• `11 1/2`%

Answer 1

`bb(11 1/9%)`

Explanation:

Let the reduced price before GST be ₹x.

The total price, including GST, is ₹1792.

$$x + 12%\text{ of }x = 1792$$

$$112%\text{ of }x = 1792 \Rightarrow x = ₹1600$$

Discount = ₹1800 − ₹1600 = ₹200.

$$\text{Discount percentage} = \frac{200}{1800} \times 100 = 11\frac{1}{9}%$$

Therefore, the shopkeeper must give a discount of `11 1/9`%.