Question

A local clothing shop is marking down all of its summer clothes by 75%. Sarah would like to purchase a swimsuit that is originally priced at $50. When she gets to the register, she signs up for a loyalty card that saves her an additional 10%. How much did she spend on the swimsuit after both discounts?

Find the markdown price of the swimsuit.

Answer 1

After applying a 75% markdown and an additional 10% loyalty card discount to the original $50 price, Sarah spent $11.25 on the swimsuit.

Step-by-step explanation:

The question involves calculating the final price of a swimsuit after applying two successive discounts. Initially, the swimsuit is on sale with a 75% discount, and an additional 10% discount is given for signing up for a loyalty card. To find the markdown price after both discounts, we take the following steps:

1. Calculate the first discount of 75% on the original price of $50, which gives us $50 × 0.75 = $37.50 as the discount amount.
2. Subtract the discount amount from the original price to find the sale price: $50 - $37.50 = $12.50.
3. Calculate the additional 10% loyalty card discount on the sale price: $12.50 × 0.10 = $1.25.
4. Subtract the additional discount from the sale price to find the final price: $12.50 - $1.25 = $11.25.

Therefore, Sarah spent $11.25 on the swimsuit after both discounts.