Question

If $S$ is $150$ per cent of $T$, then $T$ is what per cent of $S+T$?

• A. $40\%$
• B. $25\%$
• C. $65\%$
• D. $70\%$

Answer 1

The correct option is A $40\%$

Let $T$ be 100.

$S$ is $150percent$ of $T$.

$\Rightarrow S=\frac{150}{100}\ast T$

$\Rightarrow S=\frac{150}{100}\ast 100$

$\Rightarrow S=150$

$\Rightarrow S+T=150+100=250$

Let the percent to be found be $x$

Therefore $T$ is $x$ percent of $S+T$

$\Rightarrow T=\frac{x}{100}\ast S+T$

$\Rightarrow 100=\frac{x}{100}\ast 250$

$\Rightarrow x=40\%$