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RRB NTPC Graduate Tier 1 2025 Shift-1 📅 09 Jun, 2025

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?

A
6.76%
B
16%
C
1.76%
D
11%
Result Summary
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RRB NTPC Graduate Tier 1
2025 • 09 Jun, 2025 • Shift-1
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?
Correct Answer
6.76%
Sequential Change Dynamics: When a base value undergoes two successive percentage transformations, the overall net effect is not a simple linear addition but fo......
💡 Analysis & Explanation
Sequential Change Dynamics
When a base value undergoes two successive percentage transformations, the overall net effect is not a simple linear addition but follows a specific compounded formula: a + b + (a*b)/100.
Formula Execution
Here, the initial reduction dictates a = -16, and the subsequent raise dictates b = +11. Plugging these into the formula yields: (-16) + (+11) + [(-16) * (+11)] / 100.
Final Derivation
Simplifying the equation results in: -5 + (-176 / 100) = -5 - 1.76 = -6.76. The negative sign inherently indicates an overall depreciation in value.
Conclusion
The final calculated salary is 6.76% lower than the original base.