Question

If Peter pays $84 to buy a watch after a discount of 30%, find the original price of the watch

Answer 1

The original price was $120.

Explanation:

Let the original price of the watch be w.

Then the discount is 0.30w and the discounted price is (1-0.30)w, or 0.70w.

Writing an equation in w, we get 0.70w = $84.

Solving this for w, we divide both sides by 0.70:

w = (84)/0.70 = $120

The original price was $120.

Answer 2

(Original price) - 0.30p = 84

Let p = Original Price of the watch

p - 0.30p = 84

0.70p = 84

p = 84 ÷ 0.70

p = 120

The original price of the watch is $120.