Question

A sporting goods store bought a ski set at a cost of ​$432. ​Later, the ski set was marked down 10​% from its selling price and then marked down another 20​%. The total markdown is the greatest possible markdown without the store losing money. Find the original selling price.

Answer 1

The original selling price of the ski set is $600

Explanation:

The cost price of the ski set = $432

The first percentage mark down of the ski set = 10% from its selling price

The first percentage mark down of the ski set = 20% from its selling price

Let x represent the original selling price of the ski set at the sporting goods store, we are given;

80/100 × (90/100 × x) = The cost price of the ski set

Therefore, we have;

80/100 × (90/100 × x) = 432

0.72 × x = 432

x = 432/0.72 = 600

Therefore, the original selling price of the ski set, x = $600