# A number is first decreased by 20%. The decreased number is then increased by 20%. The resulting number is less than the original number by 20. Then the original number is ?

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by Nazee

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by Nazee

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The Brainliest Answer!

If it is decreased by 20%,

20%of x = 20/100 * x = 0.2x

the new number = x - 0.2x = 0.8x

If the new number is increased by 20%,

20%of 0.8x = 20/100 * (0.8x) = 0.16x

the new number = 0.8x + 0.16x = 0.96x

The resulting number is less than original number by 20

So x - 0.96x = 20

⇒ 0.04x = 20

⇒ 4x/100 = 20

⇒ x = 20*100/4 = 500

The number is 500

I HOPE IT HELPFUL FOR YOU.....