Question

If $x\%$ of $a$ is the same as $y\%$ of $b$, then $z\%$ of $b$ is

• A. $\frac{yz}{x}\%$ of $a$
• B. $\frac{xy}{z}\%$ of $a$
• C. $xyz\%$
• D. $\frac{xz}{y}\%$ of $a$

Answer 1

Answer: (D)

Given that $x\%$ of $a=y\%$ of $b$
$\Rightarrow \frac{x}{100}\times a=\frac{y}{100}\times b\Rightarrow ax=by$
$\Rightarrow b=\frac{ax}{y}$
$\therefore z\%$ of $b=\frac{z}{100}\times b=\frac{z}{100}\times \frac{ax}{y}$
$=\frac{xz}{y}\times \frac{a}{100}=\frac{xz}{y}\%$ of $a$