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Simple & Compound Interest

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1. SI vs CI (Core Understanding)

SI is like a FIXED SALARY (same every year), while CI is like a SNOWBALL (grows every year).

  • โœ” SI โ†’ Interest on Principal only
  • โœ” CI โ†’ Interest on Principal + Interest
  • โœ” First Year โ†’ SI = CI (Always SAME)
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2. Most Important Formulas

$$ SI = \frac{P \times R \times T}{100} $$
$$ Amount = P\left(1 + \frac{R}{100}\right)^T $$
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3. 2-Year Shortcut Trick (Most Asked)

Difference between CI & SI for 2 years:

$$ P \times \left(\frac{R}{100}\right)^2 $$

๐Ÿš€ Direct answer in seconds โ€” no long calculation needed!

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4. Compounding Trap (Very Important)

HALF-YEARLY

R / 2

Time ร— 2

QUARTERLY

R / 4

Time ร— 4

ANNUAL

R

Time same

๐Ÿš€

5. Times / Multiple Hack (CI Killer Trick)

If money becomes X times โ†’ Think in powers!

  • โœ” 3 times โ†’ 3ยน
  • โœ” 9 times โ†’ 3ยฒ
  • โœ” Time = Base Time ร— Power

โšก Solve in 2โ€“3 seconds without formula!

๐Ÿง 

6. Logic Without Formula (SI Shortcut)

If Amount is given at different times:

  • โœ” Find difference in time
  • โœ” Find total interest
  • โœ” Get 1-year interest
  • โœ” Subtract to get Principal

๐Ÿš€ No Rate needed โ€” pure logic based!

๐Ÿ”ฅ Exam Winning Tips

1

Always check compounding type FIRST before solving.

2

Target 2-year difference questions โ€” fastest marks!

3

Remember: SI = linear, CI = exponential growth.

4

Avoid long calculations โ€” use shortcuts & logic.

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