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 1,000

Let the number x. After decrease by 10%, the number is .90x then it is increase by 10% and becomes .90x × 1.1 = .90x Now, x - .99x = 10 ⇒ x = 1000
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