Questions: Find the original price of a pair of shoes if the sale price is 44 after a 60% discount. The original price is .

Find the original price of a pair of shoes if the sale price is 44 after a 60% discount. The original price is .
Transcript text: Find the original price of a pair of shoes if the sale price is $\$ 44$ after a $60 \%$ discount. The original price is $\$$ $\square$
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Solution

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Solution Steps

Step 1: Understand the Relationship

The sale price $P$ is obtained after applying a $D\%$ discount to the original price $O$. This can be expressed as $P = O - \frac{D}{100} \times O$.

Step 2: Rearrange the Equation to Solve for $O$

Rearranging the equation gives $O = \frac{P}{1 - \frac{D}{100}}$.

Step 3: Substitute the Given Values and Solve

Substituting $P = 44$ and $D = 60\%$ into the formula, we get $O = \frac{44}{1 - \frac{60}{100}} = 110$.

Final Answer:

The original price of the item was $110$.

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