Problem

Jim bought a sofa on sale for $\$ 748$. This price was $15 \%$ less than the original price. What was the original price?
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Answer

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Answer

Final Answer: The original price of the sofa was \(\boxed{880}\).

Steps

Step 1 :The problem is asking for the original price of the sofa. We know that the sale price is 85% of the original price (100% - 15%). Therefore, we can set up the equation \(0.85 \times \text{original price} = \text{sale price}\).

Step 2 :We can solve this equation for the original price by dividing the sale price by 0.85.

Step 3 :Substituting the given sale price into the equation, we get \(0.85 \times \text{original price} = 748\).

Step 4 :Solving for the original price, we get \(\text{original price} = \frac{748}{0.85} = 880.0\).

Step 5 :Final Answer: The original price of the sofa was \(\boxed{880}\).

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