A sweater that originally sold for $30.00 is on sale at 20% off. After the sale, by how much must the sale price be increased to return to the pre-sale price of $30.00?

Question

Quizplus · Accepted Answer

If the sweater is on sale for 20% off, that means the sale price is 80% of the original price. Let x be the sale price. We can set up an equation:

0.8($30.00) = x

x = $24.00

To find out how much the sale price must be increased to return to the pre-sale price of $30.00, we can use the formula:

(amount of increase)/(original price) x 100%

(amount of increase)/($30.00) x 100% = [(30 - 24)/30] x 100% = 20%

Therefore, the answer is choice C, 25%. The sale price of $24.00 must be increased by $6.00 to return to the pre-sale price of $30.00, and as a percentage of the original price, that's 25%.

A Sweater That Originally Sold for $30