Question
Download Solution PDFSachin’s salary was first reduced by 16% and subsequently raised by 10%. What percentage was his final salary lower compared to his initial salary?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sachin's initial salary = 100 (assume as base for simplicity)
Reduction percentage = 16%
Subsequent increase percentage = 10%
Formula used:
Final Salary = Initial Salary × (1 - Reduction Percentage) × (1 + Increase Percentage)
Percentage decrease = ((Initial Salary - Final Salary) / Initial Salary) × 100
Calculation:
Final Salary = 100 × (1 - 0.16) × (1 + 0.10)
⇒ Final Salary = 100 × 0.84 × 1.10
⇒ Final Salary = 92.4
Percentage decrease = ((100 - 92.4) / 100) × 100
⇒ Percentage decrease = (7.6 / 100) × 100
⇒ Percentage decrease = 7.6%
∴ The correct answer is option (2).
Last updated on Jul 17, 2025
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