CI vs SI Difference - 30 Examples

Compound Interest vs Simple Interest - फरक काढणे 💰

🔥 सुपरफास्ट Formula:

2 वर्षासाठी: CI - SI = P × (R/100)²

3 वर्षासाठी: CI - SI = P × (R/100)² × (3 + R/100)

टीप: SI for 1 year = PR/100. मग 2 वर्षासाठी Difference = (SI for 1 year) × R/100

Part A: 2 वर्षांसाठी Examples [1-15]

1. ₹5000 वर 10% दराने 2 वर्षांसाठी CI आणि SI मधील फरक किती?

Trick: Diff = P × (R/100)² = 5000 × (10/100)² = 5000 × 1/100 = ₹50

2. ₹8000 वर 5% दराने 2 वर्षांसाठी CI - SI = ?

Diff = 8000 × (5/100)² = 8000 × 25/10000 = ₹20

3. ₹12000, Rate = 20%, 2 वर्षे, फरक?

Diff = 12000 × (20/100)² = 12000 × 4/100 = ₹480

4. ₹10000, R = 8%, 2 वर्षे

Diff = 10000 × (8/100)² = 10000 × 64/10000 = ₹64

5. ₹25000, R = 4%, 2 वर्षे

Diff = 25000 × (4/100)² = 25000 × 16/10000 = ₹40

6. ₹6250, R = 16%, 2 वर्षे

Diff = 6250 × (16/100)² = 6250 × 256/10000 = ₹160

7. ₹40000, R = 15%, 2 वर्षे

Diff = 40000 × (15/100)² = 40000 × 225/10000 = ₹900

8. ₹9000, R = 12%, 2 वर्षे

Diff = 9000 × (12/100)² = 9000 × 144/10000 = ₹129.6

9. ₹16000, R = 25%, 2 वर्षे

Diff = 16000 × (25/100)² = 16000 × 1/16 = ₹1000

10. ₹20000, R = 6%, 2 वर्षे

Diff = 20000 × (6/100)² = 20000 × 36/10000 = ₹72

11. CI - SI = ₹81, R = 9%, P = ? 2 वर्षांसाठी

81 = P × (9/100)² → 81 = P × 81/10000 → P = ₹10000

12. P = ₹15000, R = 10%, 2 वर्षे

Diff = 15000 × (10/100)² = 15000 × 1/100 = ₹150

13. P = ₹45000, R = 20%, 2 वर्षे

Diff = 45000 × (20/100)² = 45000 × 4/100 = ₹1800

14. P = ₹3200, R = 12.5%, 2 वर्षे

12.5% = 1/8. Diff = 3200 × (1/8)² = 3200 × 1/64 = ₹50

15. P = ₹18000, R = 5%, 2 वर्षे

Diff = 18000 × (5/100)² = 18000 × 25/10000 = ₹45

Part B: 3 वर्षांसाठी Examples [16-30]

16. ₹8000 वर 10% दराने 3 वर्षांसाठी CI - SI = ?

Trick: P(R/100)² × (3 + R/100) = 8000×(0.1)² × (3+0.1) = 80 × 3.1 = ₹248

17. ₹10000, R = 20%, 3 वर्षे

Diff = 10000×(0.2)² × (3+0.2) = 400 × 3.2 = ₹1280

18. ₹5000, R = 5%, 3 वर्षे

Diff = 5000×(0.05)² × (3+0.05) = 12.5 × 3.05 = ₹38.125

19. ₹12000, R = 15%, 3 वर्षे

Diff = 12000×(0.15)² × (3+0.15) = 270 × 3.15 = ₹850.5

20. ₹4000, R = 25%, 3 वर्षे

25% = 1/4. Diff = 4000×(1/4)² × (3+1/4) = 250 × 13/4 = ₹812.5

21. ₹16000, R = 12.5%, 3 वर्षे

12.5% = 1/8. Diff = 16000×(1/8)² × (3+1/8) = 250 × 25/8 = ₹781.25

22. ₹20000, R = 8%, 3 वर्षे

Diff = 20000×(0.08)² × (3+0.08) = 128 × 3.08 = ₹394.24

23. ₹9000, R = 10%, 3 वर्षे

Diff = 9000×(0.1)² × (3+0.1) = 90 × 3.1 = ₹279

24. ₹64000, R = 6.25%, 3 वर्षे

6.25% = 1/16. Diff = 64000×(1/16)² × (3+1/16) = 250 × 49/16 = ₹765.625

25. ₹15000, R = 4%, 3 वर्षे

Diff = 15000×(0.04)² × (3+0.04) = 24 × 3.04 = ₹72.96

26. ₹25000, R = 16%, 3 वर्षे

Diff = 25000×(0.16)² × (3+0.16) = 640 × 3.16 = ₹2022.4

27. ₹32000, R = 5%, 3 वर्षे

Diff = 32000×(0.05)² × (3+0.05) = 80 × 3.05 = ₹244

28. CI - SI = ₹122 साठी, P = ₹8000, R = ? 3 वर्षे

122 = 8000×(R/100)²×(3+R/100). R=10% टाकून बघू: 8000×0.01×3.1 = 248. R=5%: 8000×0.0025×3.05=61. त्यामुळे R ≈ 7% येते. Exact साठी trial घ्यावी.

29. ₹27000, R = 33.33%, 3 वर्षे

33.33% = 1/3. Diff = 27000×(1/3)² × (3+1/3) = 3000 × 10/3 = ₹10000

30. ₹18000, R = 10%, 3 वर्षे

Diff = 18000×(0.1)² × (3+0.1) = 180 × 3.1 = ₹558

📝 Exam Hall Trick:

2 वर्ष: फक्त Rate चा वर्ग कर आणि Principal ने गुण. 10% असेल तर 1/100 ने गुण, 20% असेल तर 4/100 ने.

3 वर्ष: आधी 2 वर्षाचा फरक काढ. त्याला 3 ने गुण आणि मग त्यात `P×(R/100)³` मिळव. पण वरील Formula सोपा आहे.

Rate Fraction मध्ये: 25% = 1/4, 12.5% = 1/8, 20% = 1/5, 16.66% = 1/6. ह्याने गणित तोंडी होतं.

Visiongov Academy

Monday, June 15, 2026