Vinay decided to donate 5% of his salary. On the day of donation he changed his mind and donated Rs. 1687.50, which was 75% of what he had decided earlier. How much is Vinay's salary ?

A. Rs. 33750

B. Rs. 37500

C. Rs. 45000

D. Cannot be determined

E. None of these

Answer: Option C

Solution(By Examveda Team)

Let Vinay's salary be Rs. $$x$$
Then,
75% of 5% of $$x$$ = 1687.50
⇒ $$\frac{75}{100}$$ × $$\frac{5}{100}$$ × $$x$$ = 1687.50
⇒ $$x$$ = $$\left( {\frac{{1687.50 \times 100 \times 100}}{{75 \times 5}}} \right)$$
⇒ $$x$$ = 45000