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?

Question

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?
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Solution 1

Let's denote the original number as x.

Step 1: The number is decreased by 10%. This means the number becomes 90% of the original number. So, it becomes 0.9x.

Step 2: This number is then increased by 10%. This means the number becomes 110% of the decreased number. So, it becomes 1.1 * 0.9x = 0.99x. Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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