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A car was bought for 8,000 and sold for 7,000. Calculate the percentage depreciation. Mr. Kwame did maintenance work costing $500 and sold it at an 8% profit. Calculate Kwame's profit and the selling

Mathematics

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3 parts
a

12.5%12.5\%

b(i)

\600$

b(ii)

\8,100$

Step-by-step solution

5 steps

Here's the solution to your homework question:

Part a· 2 steps

Calculate the percentage depreciation.

  1. Calculate the depreciation amount.

    The car was bought for \8,000andsoldforand sold for$7,000$.

    Depreciation=Original Price−Selling Price\text{Depreciation} = \text{Original Price} - \text{Selling Price}

    Depreciation=$8,000−$7,000=$1,000\text{Depreciation} = \$8,000 - \$7,000 = \$1,000

  2. Calculate the percentage depreciation.

    Percentage Depreciation=DepreciationOriginal Price×100%\text{Percentage Depreciation} = \frac{\text{Depreciation}}{\text{Original Price}} \times 100\%

    Percentage Depreciation=$1,000$8,000×100%\text{Percentage Depreciation} = \frac{\$1,000}{\$8,000} \times 100\%

    Percentage Depreciation=0.125×100%=12.5%\text{Percentage Depreciation} = 0.125 \times 100\% = \boxed{12.5\%}

Part b(i)

\600$

Kwame's profit.

Mr. Kwame did some maintenance work on the car costing him \500andsolditataprofitofand sold it at a profit of8%$ to Kojo.

  1. Calculate Kwame's total cost.

    Kwame bought the car for \7,000andspentand spent$500$ on maintenance.

    Kwame’s Total Cost=Purchase Price+Maintenance Cost\text{Kwame's Total Cost} = \text{Purchase Price} + \text{Maintenance Cost}

    Kwame’s Total Cost=$7,000+$500=$7,500\text{Kwame's Total Cost} = \$7,000 + \$500 = \$7,500

  2. Calculate Kwame's profit amount.

    Kwame sold the car at an 8%8\% profit on his total cost.

    Kwame’s Profit=Kwame’s Total Cost×Profit Percentage\text{Kwame's Profit} = \text{Kwame's Total Cost} \times \text{Profit Percentage}

    Kwame’s Profit=$7,500×0.08\text{Kwame's Profit} = \$7,500 \times 0.08 Kwame’s Profit=$600\text{Kwame's Profit} = \boxed{\$600}

Part b(ii)

\8,100$

How much did Kojo buy the car for?

  1. Calculate Kwame's selling price to Kojo.

    This is Kwame's total cost plus his profit.

    Kwame’s Selling Price=Kwame’s Total Cost+Kwame’s Profit\text{Kwame's Selling Price} = \text{Kwame's Total Cost} + \text{Kwame's Profit}

    Kwame’s Selling Price=$7,500+$600\text{Kwame's Selling Price} = \$7,500 + \$600 Kwame’s Selling Price=$8,100\text{Kwame's Selling Price} = \boxed{\$8,100} Therefore, Kojo bought the car for \8,100$.

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