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2 years ago

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

Mathematics

2 answers:

olga_2 [115]2 years ago

5 0

Answer:

$12 is the sale price of shirt.

Explanation:

Calculate the percentage of sale

$\sf \rightarrow \sf \dfrac{15}{20} *100$

$\sf \rightarrow \sf 75 \%$

Then find the sale price of shirt

original price * percentage of sale

$16 * 75%

$12

Degger [83]2 years ago

4 0

Answer:

$12

Step-by-step explanation:

<h3>Method 1</h3>

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

$\sf percent\:change=\dfrac{|final\:value-initial\:value|}{initial\:value} \times 100$

$\implies \sf percent\:change=\dfrac{|15-20|}{20} \times 100=25\%$

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

<h3>Method 2</h3>

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

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