A number is increased by 30% and then the increased number is decreased by 30%. The net increase or decrease is:

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SSC MTS (2022) Official Paper (Held On: 13 Jun, 2023 Shift 1)
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  1. 12% increase
  2. 9% decrease
  3. 15% decrease
  4. 30% increase

Answer (Detailed Solution Below)

Option 2 : 9% decrease
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Detailed Solution

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Given:

A number is increased by 30% and then the increased number is decreased by 30%.

Formula used:

If a number first increased by a % then again decrease by a % then it should always decrease by

 (a/10)2 %

Calculation:

So the decreased percentage will be,

⇒ (30/10)2 % = 9 % decrease

∴ The correct option is 2

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