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Mathematics

The number 8,000 is first increased by 20% and then decreased by 20%. Find the resulting number.

Percent & Percentage

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Answer

The original number is 8,000.

After an increase of 20 %, it becomes = 8,000 + 20 % of 8,000

= 8,000+20100×8,0008,000 + \dfrac{20}{100} \times 8,000

= 8,000+1,60,0001008,000 + \dfrac{1,60,000}{100}

= 8,000+1,6008,000 + 1,600

= 9,600

Now it is decreased by 20%, it becomes = 9,600 - 20 % of 9,600

= 9,600−20100×9,6009,600 - \dfrac{20}{100} \times 9,600

= 9,600−1,92,0001009,600 - \dfrac{1,92,000}{100}

= 9,600−1,9209,600 - 1,920

= 7,680

The resulting number = 7,680.

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