Question

A shopkeeper gives a 12% discount on the marked price of a TV set. If a set is sold for Rs 7480, what was its marked price?

Answer 1

Selling price of the TV set = Rs 7480
Discount percent = 12%
Let the marked price be Rs x.
Discount = Marked Price × p.c. discount
= x × 12%
$=\frac{12x}{100}$

Selling Price = Marked Price − Discount
⇒ Marked Price = Selling price + Discount
⇒ x = 7480 + $\frac{12x}{100}$
⇒ 7480 = x − $\frac{12x}{100}$
⇒ 7480 = $\frac{88x}{100}$
⇒ $\frac{88x}{100}$ = 7480
⇒ x = 8500
∴ The marked price of the TV set is Rs 8500.