Question

The first discount on a camera was 18%. The second discount was 20%. After the two discounts the price became $328. What was the original price?

Answer 1

$500

Explanation:

Let the original price be X

18% discount means 100-18 = 82% to be paid

20% discount means 100-20 = 80% to be paid

(0.8)(0.82)X = 328

0.656X = 328

X = 328/0.656

X = 500

Answer 2

500

Explanation:

Let x be the original price

Take the first discount

x - 18 percent

x - .18x = new price

x( 1-.18)

x ( .82) = new price

Now we take a 20 percent discount

This is on the discounted price, use .82x

.82x - 20 percent= 2nd discounted price

.82x - .20(.82x)

.82x -.164x

.656x= 2nd discounted price

.656x = 328

Divide each side by.656

.656x/.656 = 328/.656

x =500

The original price was 500