Question

If $60\%$ of $A^{\prime }s$ income is equal to $75\%$ of $B^{\prime }s$ income, then $B^{\prime }s$ income is equal to $x\%$ of $A^{\prime }s$ income. What is the value of $x$?

• A. $50\%$ of $A$.
• B. $70\%$ of $A$.
• C. $80\%$ of $A$.
• D. None of these

Answer 1

The correct option is C $80\%$ of $A$.

Given, $60\%$ of $A^{\prime }s$ income $=$ $75\%$ of $B^{\prime }s$ income.

Thus $60\%$ of $A=75\%$ of $B$

$\Rightarrow B=\frac{60}{75}A=\frac{4}{5}A=\left(\begin{array}{c}\frac{4}{5}\times 100\end{array}\right)\%$ of $A$
$=80\%$ of $A$
Hence, the value of $x$ is $80\%$.