Question

On increasing the salary of a man by 25%, it becomes ₹20,000. What was his original salary?

(a) ₹15000
(b) ₹16000
(c) ₹18000
(d) ₹25000

Answer 1

Let the original salary of the man be x.

According to the question,
$$\begin{gathered} x+25\%\mathrm{of}x=20000 \\ \Rightarrow x+\frac{25}{100}\times x=20000 \\ \Rightarrow x+\frac{x}{4}=20000 \\ \Rightarrow \frac{4x+4}{4}=20000 \\ \Rightarrow \frac{5x}{4}\times 4=20000\times 4 \\ \Rightarrow 5x=80000 \\ \Rightarrow x=\frac{80000}{5} \\ \Rightarrow x=16000 \end{gathered}$$

Therefore, Original salary of the man is ₹16000.

Hence, the correct option is (b).