Question

Mark (✓) against the correct answer:
A number exceeds 25% of itself by 60. The number is
(a) 75
(b) 45
(c) 80
(d) 65

Answer 1

(c) 80

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{required}\mathrm{number}\mathrm{be}\mathrm{x}.\mathrm{Then},\mathrm{we}\mathrm{have}: \\ \left(25\%ofx\right)+60=x \\ \Rightarrow \left(x\times \frac{25}{100}\right)+60=x \\ \Rightarrow \frac{25x}{100}+60=x \\ \Rightarrow \left(\frac{25x}{100}-x\right)=-60 \\ \Rightarrow \frac{-75x}{100}=-60 \\ \Rightarrow x=\left(60\times \frac{100}{75}\right) \\ \Rightarrow x=80 \end{gathered}$$