A number is decreased by 10% and then increased by 10% .The number so obtained is 10 less than the original number. What was the original number?

A number is decreased by 10% and then increased by 10% .The number so obtained is 10 less than the original number. What was the original number? Correct Answer 1000

A number is decreased by 10% = 100 - 10 = 90 Then increased by 10% = 90 + 90 of 10% = 90 + 90 of 10% = 90 + 90 ×10100 = 90 + 9 = 99 .'. 1% = 10100%  = 10×100 = 1000The original number  = 1000 
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