Question

A number exceeds $20\%$ of itself by $40$. The number is

• A. $500$
• B. $50$
• C. $25$
• D. $10$

Answer 1

Answer: (B)

Solution:-

Let the no. be x.

$\therefore 20\%$ of $x=\frac{20}{100}\times x=\frac{x}{5}$

Given that the number exceeds $20\%$ of itself by 40.

$\therefore x-\frac{x}{5}=40$

$\Rightarrow \frac{4x}{5}=40$

$\Rightarrow x=40\times \frac{5}{4}$

$\Rightarrow x=50$

Hence, the correct answer is 50.