Question

What percent of $\frac{2}{7}$ is $\frac{1}{35}$?

(a) 25%
(b) 20%
(c) 15%
(d) 10%

Answer 1

Let the required number be x.

$$\begin{gathered} x\%\mathrm{of}\frac{2}{7}=\frac{1}{35} \\ \Rightarrow \frac{x}{100}\times \frac{2}{7}=\frac{1}{35} \\ \Rightarrow \frac{x}{350}=\frac{1}{35} \\ \Rightarrow \frac{350\times x}{350}=\frac{1\times 350}{35} \\ \Rightarrow x=\frac{350}{35} \\ \Rightarrow x=10 \end{gathered}$$

Hence, the correct option is (d).