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Scilla [17]
3 years ago
9

Hi guys

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0
(5x) / (2/11) = 3 / (1/5)
cross multiply
(5x)(1/5) = (2/11)(3)
x = 6/11
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C. 1000 loss.

Step-by-step explanation:

Let x represent purchase price of each car.

We have been given that a used-car dealer sold one car at a profit of 25 percent of the dealer's purchase price for that car and sold another car at a loss of 20 percent of the dealer's purchase price for that car.

We can represent the car that dealer sold with 25% profit to find purchase price as:

x+0.25x=20,000

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\frac{1.25x}{1.25}=\frac{20,000}{1.25}

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Therefore, the purchase price of 1st car was $16,000.

We can represent the car that dealer sold with 20% loss to find purchase price as:

x-0.20x=20,000

0.80x=20,000

\frac{0.80x}{0.80}=\frac{20,000}{0.80}

x=25,000

Therefore, the purchase price of 2nd car was $25,000.

The total purchase price of both cars would be 16,000+25,000=41,000

The total sale price of both cars 20,000+20,000=40,000.

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Therefore, the dealer's total loss, in dollars, for the two transactions combined was 1000 and option C is the correct choice.

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