Question

A store has clearance items that have been marked down by 60% they having a sale, advertising an additional 30% off clearance items. What percent of the original price do you end up paying

Answer 1

The original price is 100% of the price. If the price is marked 60% off, then you pay 40% of the original price.

An item costs x dollars.

With the 60% off discount, it now costs 40% of x, or 0.4x.

Now you apply a 30% discount.

For the second discount, consider the price 0.4x to be the new original price. If the price is now discounted 30%, you will pay 70% of the new original price.

Start with 0.4x.

Now calculate 70% of 0.4x.

70% of 0.4x = 0.70 * 0.4x = 0.28x

After applying the 60% discount and the 30% discount, the item that originally cost x now costs 0.28x. 0.28x is the same as 28% of x. The amount you pay is 28% of the original price.

Answer: 28%

Answer 2

I would end up paying 28% of the original price

Let has assume that the price of an item in the store before the clearance sale  is 100

• After the 60% markdown, the price of the item would be : 100 - (0.6 x100) = 40
• After the additional 30% discount, the price of the item would be: 40 - (0.3 x40) = 28

This means that after the 60% and 30% discount, I end up paying 28 for an item originally priced 100.

The formula to determine the percentage of the original price I end up paying = (price after the two discounts / original price) x 100

(28 / 100) x 100 = 28%

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