Question

If $90\%$ of $y$ is $x$, then what $\%$ of $x$ is $y$ ?

• A. $10$
• B. $111.11$
• C. $110$
• D. $90$

Answer 1

Answer: (B)

$111.11$

Given, $x=\frac{90}{100}y$

$\Rightarrow$ $x=\frac{9}{10}y$

$\Rightarrow$ $y=\frac{10}{9}x$

$\Rightarrow$ $\frac{y}{x}=\frac{10}{9}$

Therefore, required percentage $=$ $(\frac{y}{x}\times 100)\%=(\frac{10}{9}\times 100)\%$

Required percentage $=$ $111\frac{1}{9}\%=111.11\%$