Math CentralQuandaries & Queries


Question from Judy:


An item is currently on sale at 37% off the retail price. The item now sells for $350.

My Question:

What is the retail price and what is the formula or steps to figuring that out?

Hi Judy,

Since the sale is $37\%$ off the retail price, the sale price is $100\% - 37\% = 63\%$ of the retail price. Thus if $\$P$ is the retail price then

\[0.63 \times \$P = \$350.\]

If you now divide both sides of his equation by $0.63$ you get

\[\$P = \frac{\$350}{0.63}.\]


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