Question

A number is first increased by 20% and then decreased by 15%. Find the net increase or
decrease percent.

Answer 1

2% is the answer
Take 100 as the number it's 20 % will be 20 so add 20 it becomes 120. Then15 %of 120 is 18
15/100*120=18
Subtracted by 120 gives 102
Increase in the finale value is 102-100=2
Increase in percentage is 2/100*the initial value (100)
2/100*100=2%
Is it clear

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