Question

The difference between increasing a number by 5% and decreasing it by 5% is 20. What is the number? ot 100 The​

Answer 1

Acc to question

let the number be x

$(x + 5\% \times x) - (x - 5\% \times x) = 20$

$(x + \frac{5x}{100} ) - (x - \frac{5x}{100} ) = 20$

$( \frac{105x}{100} ) - ( \frac{95x}{100} ) = 20$

$\frac{10x}{100} = 20$

$x = \frac{20 \times 100}{10}$

$x = 200$

The reqd number is 200