C.P of the article?

Algebra Level pending

A dealer sells an article for Rs.75 and gains as much percent as the cost price of the article. Find the cost price of the article.

40 50 55 45

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1 solution

Let the Cost price be x x .

SP = x ( 100 + x ) 100 =\dfrac{x(100+x)}{100}

7500 = 100 x + x 2 \implies 7500 =100x+x^2

x 2 + 100 x = 7500 = 0 \implies x^2+100x=7500 =0

x = 100 ± 200 2 = 50 \implies x =\dfrac{-100 \pm 200}{2} =\boxed{50} (Since price is positive).

@Vinayak Srivastava If you are interested then check out my other problems. here

Shriniketan Ruppa - 11 months, 2 weeks ago

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I got it wrong :)

Vinayak Srivastava - 11 months, 2 weeks ago

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What did you get wrong?

Shriniketan Ruppa - 11 months, 2 weeks ago

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@Shriniketan Ruppa The problem.

Vinayak Srivastava - 11 months, 2 weeks ago

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