Question

For a sale, the original retail price of a particular shirt and the original retail price of a particular hat were both reduced by 20 percent. The sale price of the hat is how many dollars more than the sale price of the shirt?
(1) The original retail price of the hat was 10 dollars more than the original retail price of the shirt.

(2) The original retail price of the hat was 50 percent greater than the original retail price of the shirt.

Answer 1

Answer:

Explanation:

Given:

Discount = original price × discount fraction

Discounted price = original price - discount

Discount fraction = 20%

= 20/100

A.

Original price of shirt = $x

Original price of hat = $(x + 10)

Discounted price of shirt = $x - $0.2x

= $0.8x

Discounted price of hat = $(x + 10)

- 0.2$(x + 10)

= $0.8 × (x + 10)

Difference of discounted price of hat to shirt = 0.8(x + 10) - 0.8x

= $8

B.

Original price of shirt = $x

Original price of hat = $ 1.5 × x

Discounted price of shirt = $x - $0.2x

= $0.8x

Discounted price of hat = $ 1.5 × x

- 0.2 × $ 1.5 × x

= $ 1.2x

Difference of discounted price of hat to shirt = 1.2x - 0.8x

= $ 0.4x