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Mathematics
Simple & Compound Interest
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NTPC Graduate Tier 1 2025 Shift-1 📅 06 May, 2025

The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at 16% per annum is ₹797. Find the sum (rounded off to the nearest integer).

A
31,113
B
31,130
C
31,137
D
31,133
Result Summary
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NTPC Graduate Tier 1
2025 • 06 May, 2025 • Shift-1
The difference between the simple interest and the compound interest, compounded annually, on a certain sum of money for 2 years at 16% per annum is ₹797. Find the sum (rounded off to the nearest integer).
Correct Answer
31,133
Formula Application: The mathematical formula relating the difference (D) between CI and SI for exactly 2 years is D = P(R/100)², where P is the principal ......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Mathematics
Chapter -
Ref. Topic Simple & Compound Interest
Pg. No -
💡 Analysis & Explanation
Formula Application ▼
The mathematical formula relating the difference (D) between CI and SI for exactly 2 years is D = P(R/100)², where P is the principal sum and R is the rate.
Data Substitution ▼
Plugging the given values into the formula yields 797 = P × (16/100)².
Solving for Principal ▼
This simplifies to 797 = P × (256/10000). Rearranging for P gives P = (797 × 10000) / 256.
Final Calculation ▼
Performing the division gives P = 7970000 / 256 = 31132.8125. Rounding to the nearest whole integer yields 31133.
Conclusion ▼
The principal sum is ₹31,133.
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