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I bought a dress for $60x & sold it for (500 + 4x) at a loss of x%. Find the cost...

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dilipkhetan | Student, Grade 10 | (Level 2) eNoter

Posted June 22, 2013 at 6:14 AM via web

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I bought a dress for $60x & sold it for (500 + 4x) at a loss of x%. Find the cost price.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 22, 2013 at 6:23 AM (Answer #1)

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The dress is bought for $60x sold for 500 + 4x. The loss made here is x%. As an equation:

(500 + 4x - 60x)/(60x) = -x/100

=> 5000 + 40x - 600x = -6x^2

=> 6x^2 - 560x + 5000 = 0

=> 3x^2 - 280x + 2500 = 0

=> 3x^2 - 30x - 250x + 2500 = 0

=> 3x(x - 10) - 250(x - 10) = 0

=> x = 10 and x = 250/3

The price at which the dress is bought can be $600 or $5000

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