Vinay decided to donate 5\% of his salary. On the day of donation he changed his mind and donated ₹ 1687.50, which was 75\% of what he had decided earlier. How much is Vinay's salary?
(a)₹ 33750
(b)₹ 37500
(c)₹ 45000
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
Let Vinay's salary be ₹ $x$. Then, 75\% of 5\% of $x=1687.50$ $$\begin{aligned} & \Rightarrow \frac{75}{100} \times \frac{5}{100} \times x=1687.50 \\ & \Rightarrow x=\left(\frac{1687.50 \times 100 \times 100}{75 \times 5}\right)=45000 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.