Question

A number is increased by 20% and then the increased number is decreased by 20%. Find the net increase or decrease percent.​

Answer 1

Answer:

let the number be X

if it is increased by 20% then new number is

X*120/100

=6x/5

now this is decreased by 20%

so

= 6x/5 * 80/100

=24x/25

there is net decrease 1/25 *100 =4%

Answer 2

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• Let the Number be 100.

➟ 100 × (100 + 20)% × (100 - 20)%

➟ 100 × 120% × 80%

➟ 100 × $\large\tt{\frac{120}{100}}$ × $\large\tt{\frac{80}{100}}$

➟ 100 × $\large\tt{\frac{12}{10}}$× $\large\tt{\frac{8}{10}}$

➟ 1 × 12 × 8

➟ 96%