IPMAT Rohtak 2019 (QA) - If x\% of y is equal to z then what percentage of z is x? | PYQs + Solutions

IPMAT Rohtak 2019

Arithmetic

Percentages

Hard

If $x\%$ of $y$ is equal to $z$ then what percentage of $z$ is $x$ ?

\frac{y^2}{100}

\frac{x^2}{100}

\frac{100^2}{y}

\frac{100^2}{x}

Correct Option: 3

x\%

y=\frac{xy}{100}=z

--> Eq. 1

We are to find what percentage of

z

x

, hence we are to find

\frac{100x}{z}

Let's go back to Eq. 1 and manipulate it a bit.

First, let's divide both sides by

y

\frac{x}{100}=\frac{z}{y}

Now let's multiply both sides by

100\times100

100x=\frac{100^2z}{y}

Now divide both sides by

z

\frac{100x}{z}=\frac{100^2}{y}

Hence, Option 3 is correct.