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RRB NTPC Graduate Tier 1 2025 Shift-3 📅 06 Jun, 2025

At what rate of interest (in percentage) per year will a sum of money double itself in 4 years on simple interest?

A
25%
B
50%
C
27%
D
23%
Result Summary
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APEDIA

RRB NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-3
At what rate of interest (in percentage) per year will a sum of money double itself in 4 years on simple interest?
Correct Answer
25%
Understanding the Condition: For a sum of money to 'double itself', the accumulated interest must be exactly equal to the initial principal amount. So, Simple I......
💡 Analysis & Explanation
Understanding the Condition
For a sum of money to 'double itself', the accumulated interest must be exactly equal to the initial principal amount. So, Simple Interest (SI) = Principal (P).
Applying the Formula
The formula for Simple Interest is $SI = (P \times R \times T) / 100$. We substitute SI with P, and Time (T) with 4 years.
Solving for Rate (R)
$P = (P \times R \times 4) / 100$. The 'P' on both sides cancels out, leaving $1 = 4R / 100$. This implies $4R = 100$, and therefore $R = 25$.
Conclusion
The required rate of interest is 25% per annum.