Vijay’s salary was first reduced by 16% and subsequently raised by 11%. What percentage was his final salary lower compared to his initial salary?

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RRB NTPC Graduate Level CBT-I Official Paper (Held On: 09 Jun, 2025 Shift 1)
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  1.  6.76%
  2. 16%
  3. 11%
  4. 1.76%

Answer (Detailed Solution Below)

Option 1 :  6.76%
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Detailed Solution

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Given:

Salary reduced by 16%

Salary increased by 11%

Formula used:

Final salary = Initial salary × (1 - Reduction %) × (1 + Increase %)

Percentage decrease = ((Initial salary - Final salary) / Initial salary) × 100

Calculation:

Let's the Initial salary = ₹100 

Final salary = 100 × (1 - 0.16) × (1 + 0.11)

⇒ Final salary = 100 × 0.84 × 1.11 = ₹93.24

Percentage decrease = ((100 - 93.24) / 100) × 100

⇒ Percentage decrease = (6.76 / 100) × 100

⇒ Percentage decrease = 6.76%

∴ The correct answer is option (1).

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