Compound Interest for SSC CHSL | Concepts & Practice

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Summary Formula Tricks Mistakes Solved Example Practice FAQ

Compound Interest revision for SSC CHSL: understand the base rule, apply the correct formula or relation, check common traps, then practise with approved questions.

Compound Interest is calculated on the updated amount after each compounding period, so the base changes over time. Treat growth as a multiplier rather than repeatedly calculating interest separately.

SSC CHSL focus: Solve the core method first, then use the approved practice questions on this page to build exam-speed accuracy.

Compound Interest revision rule: concept → formula/relation → one worked example → timed practice → error review.

Core concept
Key formula/relation
Common trap
Approved practice

A = P(1+r/100)^n
CI = A-P
For depreciation: A=P(1-r/100)^n

For two years at the same rate, multiplying by the growth factor twice is usually faster and less error-prone.

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Doing long arithmetic before identifying the underlying relation.

Practice example: Find the compound interest on Rs. 4000 at 5% per annum for 2 years, compounded annually.

Solution: The compound interest is Rs. 410.

In a Compound Interest practice set, a student answers 18 questions correctly out of 24. What percentage is correct?
Find the compound interest on Rs. 10000 at 10% per annum for 3 years, compounded annually.
Find the compound interest on Rs. 6000 at 10% per annum for 2 years, compounded annually.

Learn the shortcut first

Shortcut before you solve

Compound Interest becomes straightforward once compounding frequency, rate and time are identified.

Faster solving steps

Use this 4-step method before solving to keep your thinking fast and repeatable.

Step 1 Identify relation

Spot the pattern, relationship, or core idea first.

Step 2 Apply same pattern

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Step 3 Eliminate wrong options

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Step 4 Confirm final answer

Pick the option that matches the shortcut most cleanly.

Practice Questions

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Now apply the trick on real questions

Use the shortcut above before solving these questions

Use A = P(1 + R/100)^T for annual compounding, then CI = A - P.

Tip: Compound interest is earned on principal plus previously accumulated interest.

Step 1

Amount = 1000 x (1.10)^2 = Rs. 1210.

Step 2

Compound interest = 1210 - 1000 = Rs. 210.

Rule

For annual compounding, A = P(1 + R/100)^T and CI = A - P.

3-second trick

For two years at rate r%, think year-by-year growth or square the growth factor.

Trap to avoid

Do not use PRT/100 when the question asks for compound interest.

Correct answer

Rs. 210

Thinking path

First-year amount becomes Rs. 1100.
Second-year interest is calculated on Rs. 1100.
Final amount is Rs. 1210.
CI is Rs. 210.

Final answer: Rs. 210

Why this is fast: Using the growth factor avoids calculating each year's interest separately.

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Q1 Medium

Find the compound interest on Rs. 4000 at 5% per annum for 2 years, compounded annually.

Concept type: Compound growth on accumulated amount Shortcut used: Use A = P(1 + R/100)^T for annual compounding, then CI = A - P. Quick hint: Compound interest is earned on principal plus previously accumulated interest.

Quick idea: The compound interest is Rs. 410.

Solve

Q2 Medium

Find the compound interest on Rs. 10000 at 10% per annum for 3 years, compounded annually.

Concept type: Compound growth on accumulated amount Shortcut used: Use A = P(1 + R/100)^T for annual compounding, then CI = A - P. Quick hint: Compound interest is earned on principal plus previously accumulated interest.

Quick idea: The compound interest is Rs. 3310.

Solve

Q3 Medium

Find the compound interest on Rs. 6000 at 10% per annum for 2 years, compounded annually.

Concept type: Compound growth on accumulated amount Shortcut used: Use A = P(1 + R/100)^T for annual compounding, then CI = A - P. Quick hint: Compound interest is earned on principal plus previously accumulated interest.

Quick idea: The compound interest is Rs. 1260.

Solve

Q4 Easy

In a Compound Interest practice set, a student answers 18 questions correctly out of 24. What percentage is correct?

Concept type: Compound growth on accumulated amount Shortcut used: Use A = P(1 + R/100)^T for annual compounding, then CI = A - P. Quick hint: Compound interest is earned on principal plus previously accumulated interest.

Quick idea: Correct percentage = 18/24 x 100 = 75%.

Solve

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