Question

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

• A. $33\frac{1}{3}\%$
• B. $40\%$
• C. $75\%$
• D. $80\%$

Answer 1

Answer: (B)

$40\%$

Given : $S=150\%$ of $T$

$\therefore S=\frac{150}{100}T=\frac{3}{2}T$

$\therefore S+T=\frac{3}{2}T+T=\frac{5}{2}T$

$\therefore T=\frac{2}{5}(S+T)$

$\therefore T=\frac{2}{5}\times 100$ of $(S+T)=40\%$ of $(S+T)$

Then $T$ is $40\%$ of $S+T$.