Question

If 35% of a number added to 39 is the number itself, the number is

(a) 60
(b) 65
(c) 75
(d) 105

Answer 1

Let the required number be x.

According to the question,
$$\begin{gathered} 35\%\mathrm{of}x+39=x \\ \Rightarrow \frac{35}{100}\times x+39=x \\ \Rightarrow \frac{35x\times 100}{100}=\left(x-39\right)\times 100 \\ \Rightarrow 35x=100x-3900 \\ \Rightarrow 100x-35x=3900 \\ \Rightarrow 65x=3900 \\ \Rightarrow x=\frac{3900}{65} \\ \Rightarrow x=60 \end{gathered}$$

Hence, the correct option is (a).