Question

James buys a shirt and a pair of socks on sale for 25% off.

If the price of the shirt before the sale was $24 and he spent a total of $24, what was the original price of the socks?
Enter your answer in the box.

Answer 1

Answer:The Price of socks is

=$8

Explanation:Given -

Discount 25%

Price of shirt before discount =$24

Amount spent on both shirt and socks after applying discount

=$24

Assume the price of socks =$x

Then Shirt + Socks before discount =$(24+x)

After discount one has to pay 75% of the article.

Then = 75/100(24+x)=24

0.75(24+x)=24

18+0.75x=24

0.75x=24−18=6

x=6/0.75=8

The Price of socks is =$8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is 32×25/100=$8

Amount one has to pay after discount =32−8=$24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is =$32

75% of $32 is =32×75/100=24

Explanation:

Answer 2

I love these questions!

Anyway, let's figure out the original price, discount in percent, and new price. 25% is the discount in percent, the original price is unknown, and the new price is $24. Here is the equation.

O - Original price

d% - discount in percent

N - New price

O x (1 - d%) = N

O x (1 - 25%) = $24

O x (1 - 0.25) = $24

O x 0.75 = $24

0.75 0.75

O = $32

$32 - $24 = $8

Therefore, the original price of the socks is $8.