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Question: 1 / 400

If a store sells an item for $150 after a 10% discount, what was the original price?

$160

$150

$166.67

To determine the original price of an item that is on sale for $150 after a 10% discount, it is essential to understand how discounts work.

When an item is sold at a discount, the selling price is equal to the original price minus the discount amount. In this case, if the item was sold for $150 after a 10% discount, we can express this mathematically. Let the original price be represented as $ P $. The discount is calculated as 10% of $ P $, which can be expressed as $ 0.10P $.

Thus, the price after the discount can be formulated as:

P - 0.10P = 0.90P

This means that the item is sold for 90% of its original price. According to the information, this selling price is $150, so we can write:

0.90P = 150

To find the original price $ P $, we need to isolate $ P $ by dividing both sides of the equation by 0.90:

P = \frac{150}{0.90}

Calculating this gives:

P = 166.

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