Question

If 8% of a number is 6, then the number is

(a) 96
(b) 60
(c) 96
(d) 75

Answer 1

Let the required number be x.

$$\begin{gathered} 8\%\mathrm{of}x=6 \\ \Rightarrow \frac{8}{100}\times x=6 \\ \Rightarrow \frac{2x}{25}=6 \\ \Rightarrow \frac{2x\times 25}{25}=6\times 25 \\ \Rightarrow 2x=150 \\ \Rightarrow x=\frac{150}{2} \\ \Rightarrow x=75 \end{gathered}$$

Hence, the correct option is (d).