Question

The price of a car was decreased by 16% to £2400. What was the price before the decrease? Give your answer to the nearest penny.

Answer 1

2857.14

Explanation:

x - .16x = 2400

.84x = 2400

x = 2857.14

Answer 2

£2,857.14

Explanation:

You can find the answer by using algebraic expressions.

Let x be the price of the car before the decrease.

x-16%x = £2,400

x-0.16x = £2,400

0.84x = £2,400

x =
`(2,400)/(0.84)`

x = £2,857.14

The price of the car before the decrease was £2,857.14.

Let's check.

0.16x = 0.16 x 2,857.14 = £457.14

x-0.16x = 2,400

£2,857.14 - £457.14 = £2,400 (correct)