Simple & Compound Interest
Simple interest grows by a fixed amount each year (interest on the principal only); compound interest grows on the running balance, so it snowballs. Two relations carry most SSC marks: SI = PRT/100, and Amount under CI = P(1 + R/100)^T. Knowing the difference between CI and SI for 2 years (= P(R/100)^2) and for 3 years lets you jump straight to the answer. Percentage fluency from the percentage chapter pays off directly here.
Topics
⚡ SSC shortcuts & speed methods
The fastest ways to crack this chapter under time pressure — the techniques that separate a 95+ percentiler from the rest.
- A sum becomes n times in t years at SI -> (n-1) = RT/100.
- CI multiplier per year = (1 + R/100); chain it for T years.
- CI - SI (2 years) = P(R/100)^2.
- Half-yearly: rate R/2, periods 2T. Quarterly: R/4, 4T.
- Depreciation uses (1 - R/100)^T.
⚠️ Common mistakes & traps
SSC is designed so that careless errors here cost you marks. Internalise each trap before the exam.
- Applying CI yearly when the problem says half-yearly (halve the rate, double periods).
- Forgetting CI = Amount - Principal (not the amount itself).
- Using SI formula where compounding is intended.
- Mixing up growth (+) and depreciation (-) factors.
📈 SSC exam insight & PYQ analysis
🎴 Flashcards — instant recall
Tap a card to reveal the answer. Drill these until they are automatic.
📌 Quick revision
Chapter test
🏆 Vidaara SSC success checklist
You have truly mastered Simple & Compound Interest when you can tick every box below.
- Recall every formula in this chapter without looking them up
- Solve each topic’s practice set with at least 80% accuracy
- Use the chapter shortcuts to cut your solving time in half
- Spot and avoid every common trap listed above
- Score 80%+ on the timed chapter test
📋 Chapter mastery scorecard
Track where you stand. Aim for the target before moving to the next chapter.
| Skill checkpoint | Target |
|---|---|
| Concept theory & formulas understood | 100% |
| Topic practice sets attempted (4 topics) | 4/4 |
| Best topic-test score | — → 80%+ |
| Chapter test score | — → 80%+ |
| Flashcards drilled to instant recall | 5 cards |
Formula Reference Sheet
Simple interest
| SI | P x R x T / 100 |
|---|---|
| Amount | A = P + SI = P(1 + RT/100) |
| Rate / Time | R = 100 SI / (P T), T = 100 SI / (P R) |
Compound interest
| Amount (annual) | A = P(1 + R/100)^T |
|---|---|
| CI | A - P |
| CI - SI for 2 years | P(R/100)^2 |
| Half-yearly | rate R/2, periods 2T |