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Mathematics

The number 12,000 is first decreased by 25% and then increased by 25%. Find the resulting number.

Percent & Percentage

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Answer

The original number is 12,000.

After a decrease of 25 %, it becomes = 12,000 - 25 % of 12,000

= 12,00025100×12,00012,000 - \dfrac{25}{100} \times 12,000

= 12,0003,00,00010012,000 - \dfrac{3,00,000}{100}

= 12,0003,00012,000 - 3,000

= 9,000

Now it is increased by 25%, it becomes = 9,000 + 25 % of 9,000

= 9,000+25100×9,0009,000 + \dfrac{25}{100} \times 9,000

= 9,000+2,25,0001009,000 + \dfrac{2,25,000}{100}

= 9,000+2,2509,000 + 2,250

= 11,250

The resulting number = 11,250.

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