Question

All items in a clothing store are on sale for the same percentage off the original price.

•The original price of a pair of pants is $20.
• The sale price of the pants is $15
• The original price of a shirt is $16

Enter the sale price, in dollars, of the shirt ​

Answer 1

$12

Step-by-step explanation:

Method 1

First, calculate the sale discount as a percentage using the given information about the pants.

• $20 = Original price of pants
• $15 = Sale price of pants

`\sf percent\:change=(|final\:value-initial\:value|)/(initial\:value) * 100`

`\implies \sf percent\:change=(|15-20|)/(20) * 100=25\%`

Therefore, the clothes are on sale with a 25% discount.

This means they are 75% of the original sale price, as 100% - 25% = 75%

To find the sale price of the shirt, we simply need to find 75% of the original selling price of the shirt:

75% of $16

= 0.75 × $16

= $12

Method 2

Using ratios of original price : sale price, where x is the sale price of the shirt:

pants → 20 : 15

shirt → 16 : x

Therefore, as the ratios are the same:

20 : 15 = 16 : x

⇒ 20/15 = 16/x

⇒ 20x = 16 · 15

⇒ 20x = 240

⇒ x = 240 ÷ 20

⇒ x = 12

Answer 2

$12 is the sale price of shirt.

Step-by-step explanation:

Calculate the percentage of sale

`\sf \rightarrow \sf (15)/(20) *100`

`\sf \rightarrow \sf 75 \%`

Then find the sale price of shirt

original price * percentage of sale

$16 * 75%

$12