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Mathematics
Simple Interest
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NTPC Graduate Tier 1 2025 Shift-2 📅 06 Jun, 2025

Find the duration (in years) in which ₹1,200 will amount to ₹2,220 at a rate of 20% per annum simple interest.

A
6.25
B
3.25
C
4.25
D
5.25
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-2
Find the duration (in years) in which ₹1,200 will amount to ₹2,220 at a rate of 20% per annum simple interest.
Correct Answer
4.25
Interest Calculation: First, determine the total simple interest (SI) earned by subtracting the principal from the final amount. SI = 2220 - 1200 = ₹1020.Form......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Simple Interest
Pg. No -
💡 Analysis & Explanation
Interest Calculation ▼
First, determine the total simple interest (SI) earned by subtracting the principal from the final amount. SI = 2220 - 1200 = ₹1020.
Formula Setup ▼
The standard formula for simple interest is SI = (Principal × Rate × Time) / 100. Substituting our known variables gives: 1020 = (1200 × 20 × T) / 100.
Solving for Time ▼
Simplify the right side by dividing out the zeros: 1020 = 240 × T. Rearranging to isolate T yields T = 1020 / 240.
Final Reduction ▼
The fraction 102/24 simplifies to 51/12, which further reduces to 17/4. Converting this to a decimal gives exactly 4.25.
Conclusion ▼
It will take 4.25 years for the amount to mature.
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