Question

A number is increased by 20 percent and then decreased by 10 percent find the net increase or decrease percentage

Answer 1

I know the short-cut :

20-10+(20*(-10)/100)

20-10-2

+8%

+ sign denotes that there is increase of 8%...

Answer 2

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• Let the Number be 100.

➟ 100 × (100 + 20)% × (100 - 10)%

➟ 100 × 120% × 90%

➟ 100 × $\large\tt{\frac{120}{100}}$ × $\large\tt{\frac{90}{100}}$

➟ 100 × $\large\tt{\frac{12}{10}}$× $\large\tt{\frac{9}{10}}$

➟ 1 × 12 × 9

➟ 108%