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Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. what is the value of x ?

A. 50 B. 100 C. 200 D. 1000 E. 2000

\sqrt{C - OG12}

I already solved it. Posting this for others who needs practice.

Given: \(x>0\) and \(y>0\). "Positive integer y is 50 percent of 50 percent of positive integer x" --> \(y=0.5*(0.5x)=0.25x\) "y percent of x equals 100" --> \(\frac{y}{100}*x=100\) --> \(xy=100*100\) --> substitute \(y\) --> \(x^2=4*100*100\) --> as \(x>0\), only one solution \(x=200\).

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Re: Positive integer y is 50 percent of 50 percent of positive [#permalink]

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24 Jun 2017, 16:42

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(We are not taking other value of -200 as it is given that x is positive number)

Hence, Answer is C _________________

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