Question

A number was increased by 20%. By what percent it should be decreased again to obtain the original number?

• A. $16\frac{2}{3}\%$
• B. $14\frac{2}{3}\%$
• C. $15\frac{3}{4}\%$
• D. $12\frac{5}{6}\%$

Answer 1

The correct option is A

$16\frac{2}{3}\%$

Let the original number be 100
When increased by 20%, new number = 120
Now, to get back to the original number,
120 is to be decreased by 20
$\therefore$$\frac{20}{120}\times \left(100\right)=\frac{50}{3}$ = $16\frac{2}{3}\%$
$\to$ The number should be decreased by $16\frac{2}{3}\%$ to get the original number.