A number is first increased by 12%, and the increased number is decreased by 8%. Find the net increase or decrease percentage.

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RPF Constable 2024 Official Paper (Held On 04 Mar, 2025 Shift 3)
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  1. 3.04% increase
  2. 2.08% decrease
  3. 3.04% decrease
  4. 2.08% increase

Answer (Detailed Solution Below)

Option 1 : 3.04% increase
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RPF Constable Full Test 1
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Detailed Solution

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Given:

A number is first increased by 12%, and the increased number is decreased by 8%.

Formula used:

Net change percentage =

Where,

x = Percentage increase = 12%

y = Percentage decrease = -8% (negative because it’s a decrease)

Calculations:

Net change percentage =

⇒ Net change percentage =

⇒ Net change percentage =

⇒ Net change percentage =

⇒ Net change percentage = 3.04%

∴ The net change is a 3.04% increase, and the correct answer is option (1).

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