Question

If $12\%$ of $x$ is equal to $6\%$ of $y$, then $18\%$ of $x$ will be equal to how much percent of $y$?

• A. $7\%$
• B. $9\%$
• C. $8\%$
• D. $11\%$

Answer 1

Answer: (B)

$9\%$

Given $12\%$ of $x$ is equal to $6\%$ of $y$

Then $\frac{12\times x}{100}=\frac{6\times y}{100}\Rightarrow 12x=6y\Rightarrow \frac{x}{y}=\frac{1}{2}\Rightarrow x=\frac{y}{2}$

So $18\%$ of $x=\frac{18x}{100}=\frac{18}{100}\times \frac{y}{2}=9\%$ of $y$