Question

a number is first increased by 20% and then decreased by 15% find the net increase or decrease percent

Answer 1

let the number be 100.
20% to 100=120
decrease in 15% to 120=102
therefore there is an increase of 2 if the number is 100

Answer 2

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• Let the Number be 100.

➟ 100 × (100 + 20)% × (100 - 15)%

➟ 100 × 120% × 85%

➟ 100 × $\large\tt{\frac{120}{100}}$ × $\large\tt{\frac{85}{100}}$

➟ 100 × $\large\tt{\frac{12}{10}}$× $\large\tt{\frac{17}{20}}$

➟ 10 × 12 × $\large\tt{\frac{17}{20}}$

➟ 102%

2% increase