Question

For a trader, the marked price of a refrigerator = ₹ 15680 exclusive of GST (GST is 12%). Gagan, a customer for this refrigerator, asks the trader to reduce the price of the refrigerator to such an extent that its reduced price plus GST is equal to the marked price of the refrigerator. Find the required reduction.

Answer 1

Let the marked price be ₹ x.

x + 12% of x = 15680

x + ${\displaystyle \frac{12x}{100}}$ = 15680

${\displaystyle \frac{100x+12x}{100}}$ = 15680

${\displaystyle \frac{112x}{100}}$ = 15680

x = ${\displaystyle \frac{15680}{112}\times 100}$

x = ₹ 14000

Initial marked price = ₹ 14000

∴ Marked price of refrigerator excluding

GST = ₹ 14000

Let the reduced price = ₹ x

Then reduced price + GST = Marked Price

∴ x + 12% of x = ₹ 14000

⇒ ${\displaystyle \frac{112x}{100}}$

⇒ ₹ 14000

⇒ x = ₹${\displaystyle (14000\times \frac{100}{112})}$

= ₹ 12500

∴ Required reduction is given by the trader

= ₹ (14000 - 12500)

= ₹ 1500