Question

If $x$ percent of $y$ is $z$ and $z$ is $t$ percent of $xy$, find $t$.

• A. $1\%$
• B. $0.5\%$
• C. $2\%$
• D. $3\%$
• E. $4\%$

Answer 1

The correct option is A $1\%$

Given, $x$ percent of $y$ is $z$
$\frac{x}{100}\times y=z$
and $z$ is $t$ percent of $xy$
$z=\frac{t}{100}\times xy$
As $z=z$, so
$\frac{x}{100}\times y=\frac{t}{100}\times xy$
$\Rightarrow \frac{txy}{100}=\frac{xy}{100}$
$\Rightarrow t=\frac{xy}{100}\times \frac{100}{xy}$
$\Rightarrow t=1\%$