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

M.P. of pressure cooker = ₹ 1800.

Let after discount the price of cooker be ₹ x.

GST on pressure cooker = 12%

According to question,

$\therefore x + \dfrac{12}{100} \times x = 1792 \\[1em] \Rightarrow x + 0.12x = 1792 \\[1em] \Rightarrow 1.12x = 1792 \\[1em] \Rightarrow x = \dfrac{1792}{1.12} = \text{₹ 1600}.$

Discount given by shopkeeper = ₹ 1800 - ₹ 1600 = ₹ 200.

Discount % = $\dfrac{\text{Discount}}{\text{M.P.}} \times 100$

$= \dfrac{200}{1800} \times 100 \\[1em] = \dfrac{1}{9} \times 100 \\[1em] = 11.11 \%.$

Hence, discount offered = 11.11 %.