Compound Interest
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Study MaterialCompound Interest Cheat Sheet
Compound Interest is one of the most important and frequently asked topics in Quantitative Aptitude for SSC, Banking, Railway, UPSC, Defence, Insurance, CAT, and other competitive examinations.
This cheat sheet helps candidates understand compound interest formulas, amount calculations, different compounding periods, population growth, depreciation, installment problems, and shortcut methods for solving compound interest questions quickly and accurately in exams.
About This Cheat Sheet
Complete guide to Compound Interest for competitive exams:
Basic Concepts
- Interest on Interest
- Principal (P)
- Rate (R)
- Time Period (T)
Important Formulas
- A = P(1 + R/100)T
- CI = A − P
- Amount Formula
- Growth & Decay Formulas
Compounding Periods
- Yearly Compounding
- Half-Yearly Compounding
- Quarterly Compounding
- Monthly Compounding
Finding Principal, Rate & Time
Methods to calculate unknown principal, rate of interest, or time period.
Population & Depreciation
- Population Growth
- Depreciation Formula
- Growth Rate Problems
- Value Reduction Problems
CI vs SI Difference
- Difference for 2 Years
- Difference for 3 Years
- Shortcut Difference Formula
- Comparative Interest Problems
Advanced CI Problems
- Installment Problems
- Changing Interest Rates
- Multiple Year Rates
- Equal Annual Payments
Shortcut Tricks
Fast solving techniques, approximation methods, and exam-oriented compound interest shortcuts.
Topics Covered
| Topic | Description |
|---|---|
| Compound Interest | Interest calculated on principal and accumulated interest |
| Amount Formula | Total amount after compounding |
| Compound Interest Formula | CI = Amount − Principal |
| Yearly Compounding | Interest compounded once per year |
| Half-Yearly Compounding | Interest compounded twice per year |
| Quarterly Compounding | Interest compounded four times per year |
| Monthly Compounding | Interest compounded every month |
| Finding Principal | Calculating original investment amount |
| Finding Rate | Calculating rate of interest |
| Finding Time | Calculating investment duration |
| Population Growth | Increase using compound growth formula |
| Depreciation | Decrease in value over time |
| CI vs SI Difference | Difference between compound and simple interest |
| Installment Problems | Loan repayment and annual payment concepts |
| Shortcut Tricks | Fast solving methods for exams |
Why This Cheat Sheet is Important
Understand Compound Growth Concepts
↓
Improve Calculation Speed
↓
Apply Shortcut Techniques
↓
Solve Financial Problems Faster
↓
Score Better in Exams
Competitive Exams Covered
- SSC CGL
- SSC CHSL
- Bank PO & Clerk
- Railway Exams
- UPSC CSAT
- Defence Exams
- Insurance Exams
- State Government Exams
- MBA Entrance Exams
Quick Example
Example:
Find the compound interest on ₹10,000 at 10% per annum for 2 years compounded yearly.
Using formula:
A = P(1 + R/100)T
= 10000(1 + 10/100)2
= 10000(1.1)2
= 10000 × 1.21
= ₹12,100
Compound Interest = Amount − Principal
= 12,100 − 10,000
= ₹2,100
Answer:
Compound Interest = ₹2,100
Final Takeaway
This Compound Interest Cheat Sheet provides complete revision material for all major concepts frequently asked in competitive examinations. Regular practice of compound growth formulas, installment problems, depreciation concepts, and shortcut techniques can significantly improve speed, accuracy, and analytical problem-solving ability.
It is highly useful for quick revision before exams and helps candidates strengthen the foundation of Quantitative Aptitude.
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