Question

Jill's favorite store is having a one day sale, offering 20% off all merchandise. Jill spends $99.84 on the day of the sale, excluding any tax. What would the purchases have cost her at full price?

Answer 1

Jill spent $99.84 on the day of the sale, which is 20% off the full price. This means that she paid 80% of the full price. To find the full price, we can divide $99.84 by 0.8. This gives us $124.80. Therefore, the purchases would have cost Jill $124.80 at full price.

Here is the solution in mathematical equation:

Full Price = Sale Price / (1 - Discount)

= $99.84 / (1 - 0.2)

= $99.84 / 0.8

= $124.80

Answer 2

To calculate the original price of Jill's purchases before the 20% discount, we can use the formula:

Original price = Sale price / (1 - Discount percentage)

Given that Jill spent $99.84 on the day of the sale and the discount offered was 20%, we can substitute the values into the formula:

Original price = $99.84 / (1 - 0.20)

Calculating:

Original price = $99.84 / 0.80

Original price = $124.80

Therefore, Jill's purchases would have cost her $124.80 at full price before the 20% discount.