We read on the poster of a store that its prices are discounted up to 60% but the item we have bought has cost us $ 52 and its previous price was $ 65 to calculate the percentage of the discount applied

Respuesta :

The percentage of discount is 20 %

Solution:

Given that,

We read on the poster of a store that its prices are discounted up to 60%

From given,

Original price = $ 65

Discounted price = $ 52

Let x be the percent of discount

Then, we can say,

Discounted price = original price - discount on original price

[tex]52 = 65 - x \% \times 65\\\\52 = 65 - \frac{x}{100} \times 65\\\\52 = 65 - 0.65x\\\\0.65x = 65 - 52\\\\0.65x = 13\\\\Divide\ both\ sides\ by\ 0.65\\\\x = 20[/tex]

Thus percentage of discount is 20 %