Question

A sporting goods store manager was selling a ski set for a certain price. The manager offered the markdowns shown, making

the one-day sale price of the ski set $322. Find the original selling price of the ski set.

The original selling price of the ski set was $
(Round to the nearest cent as needed.)

Answer 1

$511.11

Explanation:

You want the original selling price after a discount of 10% and an additional markdown of 30% brings the price to $322.

Multiplier

Each discount of rate r causes the price to be multiplied by (1 -r). The two discounts together mean the price is ...

322 = p(1 -0.10)(1 -0.30) = p(0.90)(0.70) = 0.63p

Then the original selling price p is ...

p = 322/0.63 = 511.11

The original selling price of the ski set was $511.11.

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