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2-1.3 \( < \) Question \( 9,1.3 .19> \) The selling price of a refrigerator, is \( \$ 924.00 \). If the markup is \( 20 \% \) of the dealer's cost, what is the dealer's cost of the refrigerator?

Ask by Chan Harrington. in the United States
Feb 26,2025

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Answer

The dealer's cost of the refrigerator is $770.00.

Solution

Let the dealer’s cost be C dollars. A markup of 20% means that the dealer adds 0.20 × C to the cost. Thus, the selling price is given by:   Selling price = Cost + 20% of Cost = C + 0.20C = 1.20C Given that the selling price is $924.00, we have:   1.20C = 924 To find C, divide both sides by 1.20:   C = 924 / 1.20   C = 770 Therefore, the dealer’s cost of the refrigerator is $770.00.

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Beyond the Answer

To find the dealer's cost, let's denote the dealer's cost as \( C \). Since the markup is \( 20\% \) of the dealer's cost, we can express the selling price as: \[ Selling \, Price = C + (0.20 \times C) \] \[ 924 = C(1 + 0.20) \] \[ 924 = C(1.20) \] Now, solve for \( C \): \[ C = \frac{924}{1.20} = 770 \] So, the dealer's cost of the refrigerator is \( \$ 770.00 \). To make calculations easier, remember that percentages can be converted to decimals. For example, \( 20\% \) is the same as \( 0.20 \). When dealing with markups, including them directly in your equations can save you time and reduce mistakes in calculations. Always double-check your arithmetic to avoid simple errors that can throw off your final figure!

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