SSC gd simple interest and compound interest

1. Find the Simple Interest on ₹10,000 for 3 years at 5% per annum.
₹10,000 पर 3 वर्षों के लिए 5% वार्षिक दर से साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

SI = (P × R × T) / 100 = (10,000 × 5 × 3) / 100 = ₹1,500

Hindi:

साधारण ब्याज = (मूलधन × दर × समय) / 100 = (10,000 × 5 × 3) / 100 = ₹1,500

2. Calculate the Compound Interest on ₹8,000 for 2 years at 10% per annum compounded annually.
₹8,000 पर 2 वर्षों के लिए 10% वार्षिक चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Amount = P × (1 + R/100)^T = 8,000 × (1 + 0.10)² = 8,000 × 1.21 = ₹9,680

CI = Amount – Principal = 9,680 – 8,000 = ₹1,680

Hindi:

राशि = मूलधन × (1 + दर/100)^समय = 8,000 × (1 + 0.10)² = ₹9,680

चक्रवृद्धि ब्याज = राशि – मूलधन = ₹9,680 – ₹8,000 = ₹1,680

3. A sum of ₹5,000 is invested at 6% per annum simple interest. Find the amount after 4 years.
₹5,000 की राशि 6% वार्षिक साधारण ब्याज पर 4 वर्षों के बाद कितनी होगी?

Answer / उत्तर:

English:

SI = (5,000 × 6 × 4) / 100 = ₹1,200

Amount = Principal + SI = 5,000 + 1,200 = ₹6,200

Hindi:

साधारण ब्याज = (5,000 × 6 × 4) / 100 = ₹1,200

राशि = मूलधन + ब्याज = ₹6,200

4. The compound interest on ₹7,000 for 3 years at 8% per annum compounded annually is ₹1,748. Find the amount.
₹7,000 पर 3 वर्षों के लिए 8% वार्षिक चक्रवृद्धि ब्याज ₹1,748 है। राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = Principal + CI = ₹7,000 + ₹1,748 = ₹8,748

Hindi:

राशि = मूलधन + चक्रवृद्धि ब्याज = ₹7,000 + ₹1,748 = ₹8,748

5. Calculate the simple interest on ₹12,000 for 2 years 6 months at 7% per annum.
₹12,000 पर 2 वर्ष 6 महीने के लिए 7% वार्षिक दर से साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 2.5 years

SI = (12,000 × 7 × 2.5) / 100 = ₹2,100

Hindi:

समय = 2.5 वर्ष

साधारण ब्याज = (12,000 × 7 × 2.5) / 100 = ₹2,100

6. A principal amount doubles itself in 8 years at simple interest. Find the rate of interest per annum.
एक राशि 8 वर्षों में साधारण ब्याज पर खुद को दोगुना कर देती है। वार्षिक ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

SI = Principal (because amount doubles)

SI = (P × R × T) / 100 = P

R = (100 × SI) / (P × T) = (100 × P) / (P × 8) = 12.5%

Hindi:

साधारण ब्याज = मूलधन (क्योंकि राशि दोगुनी हो गई)

R = (100 × ब्याज) / (मूलधन × समय) = 12.5%

7. Find the compound interest on ₹6,000 for 3 years at 5% per annum compounded half-yearly.
₹6,000 पर 3 वर्षों के लिए 5% वार्षिक दर से छमाही चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Rate per half year = 5% / 2 = 2.5%

Number of half years = 3 × 2 = 6

Amount = 6,000 × (1 + 0.025)⁶ ≈ 6,000 × 1.1597 = ₹6,958.20

CI = 6,958.20 – 6,000 = ₹958.20

Hindi:

छमाही दर = 5% / 2 = 2.5%

छमाही की संख्या = 6

राशि = 6,000 × (1 + 0.025)⁶ = ₹6,958.20

चक्रवृद्धि ब्याज = ₹958.20

8. A sum of money amounts to ₹15,000 in 2 years and ₹17,250 in 3 years on simple interest. Find the principal and rate of interest.
साधारण ब्याज पर 2 वर्षों में राशि ₹15,000 और 3 वर्षों में ₹17,250 हो जाती है। मूलधन और ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Interest for 1 year = 17,250 – 15,000 = ₹2,250

Interest for 2 years = 2,250 × 2 = ₹4,500

Principal = Amount – Interest = 15,000 – 4,500 = ₹10,500

Rate = (SI × 100) / (P × T) = (4,500 × 100) / (10,500 × 2) ≈ 21.43%

Hindi:

1 वर्ष का ब्याज = ₹2,250

2 वर्ष का ब्याज = ₹4,500

मूलधन = ₹15,000 – ₹4,500 = ₹10,500

ब्याज दर ≈ 21.43%

9. Find the time period for which ₹9,000 is lent at 8% simple interest to get ₹1,800 as interest.
₹9,000 की राशि 8% साधारण ब्याज पर कितने समय के लिए दी गई ताकि ₹1,800 ब्याज मिले?

Answer / उत्तर:

English:

SI = (P × R × T) / 100

1,800 = (9,000 × 8 × T) / 100

T = (1,800 × 100) / (9,000 × 8) = 2.5 years

Hindi:

साधारण ब्याज = (मूलधन × दर × समय) / 100

समय = 2.5 वर्ष

10. A sum of money triples itself in 10 years at simple interest. Find the rate of interest.
एक राशि 10 वर्षों में साधारण ब्याज पर तीन गुना हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Since amount triples, SI = 2 × Principal

SI = (P × R × T) / 100 = 2P

R = (100 × 2P) / (P × 10) = 20%

Hindi:

राशि तीन गुना = साधारण ब्याज = 2 × मूलधन

ब्याज दर = 20%

11. Find the compound interest on ₹4,000 for 1 year at 10% per annum compounded quarterly.
₹4,000 पर 1 वर्ष के लिए 10% वार्षिक दर से त्रैमासिक चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Rate per quarter = 10% / 4 = 2.5%

Number of quarters = 4

Amount = 4000 × (1 + 0.025)⁴ ≈ 4000 × 1.1038 = ₹4,415.20

CI = 4,415.20 – 4,000 = ₹415.20

Hindi:

त्रैमासिक दर = 10% / 4 = 2.5%

त्रैमासिक की संख्या = 4

राशि = 4000 × (1 + 0.025)⁴ = ₹4,415.20

चक्रवृद्धि ब्याज = ₹415.20

12. If the compound interest on a sum for 2 years at 5% per annum compounded annually is ₹1,025, find the principal.
5% वार्षिक दर से 2 वर्षों के लिए चक्रवृद्धि ब्याज ₹1,025 है। मूलधन ज्ञात करें।

Answer / उत्तर:

English:

Let principal = P

Amount = P + 1,025

Amount = P × (1 + 0.05)² = P × 1.1025

P + 1,025 = 1.1025 P

1,025 = 0.1025 P

P = 1,025 / 0.1025 = ₹10,000

Hindi:

मूलधन = P

राशि = P + 1,025 = P × 1.1025

1,025 = 0.1025 P

मूलधन = ₹10,000

13. A sum of ₹20,000 amounts to ₹25,200 in 2 years at simple interest. Find the rate of interest.
₹20,000 की राशि 2 वर्षों में साधारण ब्याज पर ₹25,200 हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

SI = 25,200 – 20,000 = ₹5,200

Rate = (SI × 100) / (P × T) = (5,200 × 100) / (20,000 × 2) = 13%

Hindi:

साधारण ब्याज = ₹5,200

ब्याज दर = 13%

14. The compound interest on a certain sum for 1 year at 4% per annum is ₹480. Find the principal.
4% वार्षिक दर से 1 वर्ष के लिए चक्रवृद्धि ब्याज ₹480 है। मूलधन ज्ञात करें।

Answer / उत्तर:

English:

Let P be principal

CI = P × (1 + 0.04) – P = 0.04 P + (0.04)² P ≈ 0.04 P (ignoring small square term)

So, 480 ≈ 0.04 P → P ≈ 12,000

Hindi:

मूलधन = P

चक्रवृद्धि ब्याज ≈ 0.04 P = ₹480 → P = ₹12,000

15. A sum invested at compound interest doubles itself in 5 years. Find the rate of interest.
एक राशि 5 वर्षों में चक्रवृद्धि ब्याज पर दोगुनी हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Amount = 2P = P × (1 + R/100)⁵

(1 + R/100)⁵ = 2

Taking 5th root, 1 + R/100 = 2^1/5 ≈ 1.149

R ≈ 14.9%

Hindi:

राशि = 2P = P × (1 + R/100)⁵

(1 + R/100) = 2^1/5 ≈ 1.149 → R ≈ 14.9%

16. Find the amount on ₹15,000 for 3 years at 6% per annum compounded annually.
₹15,000 पर 3 वर्षों के लिए 6% वार्षिक चक्रवृद्धि ब्याज के साथ राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = 15,000 × (1 + 0.06)³ = 15,000 × 1.191016 = ₹17,865.24

Hindi:

राशि = 15,000 × (1 + 0.06)³ = ₹17,865.24

17. The compound interest on ₹2,500 for 2 years at 5% per annum compounded half-yearly is?
₹2,500 पर 2 वर्षों के लिए 5% वार्षिक छमाही चक्रवृद्धि ब्याज क्या होगा?

Answer / उत्तर:

English:

Rate per half year = 5% / 2 = 2.5%

Number of half years = 2 × 2 = 4

Amount = 2,500 × (1 + 0.025)⁴ ≈ 2,500 × 1.1038 = ₹2,759.50

CI = 2,759.50 – 2,500 = ₹259.50

Hindi:

छमाही दर = 2.5%

छमाही की संख्या = 4

राशि = ₹2,759.50

चक्रवृद्धि ब्याज = ₹259.50

18. A sum lent at simple interest amounts to ₹18,000 after 3 years and ₹21,000 after 5 years. Find the principal and rate.
साधारण ब्याज पर एक राशि 3 वर्षों में ₹18,000 और 5 वर्षों में ₹21,000 हो जाती है। मूलधन और ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Interest for 2 years = 21,000 – 18,000 = ₹3,000

Interest for 1 year = 3,000 / 2 = ₹1,500

Interest for 3 years = 1,500 × 3 = ₹4,500

Principal = 18,000 – 4,500 = ₹13,500

Rate = (1,500 × 100) / 13,500 = 11.11%

Hindi:

2 वर्ष का ब्याज = ₹3,000

1 वर्ष का ब्याज = ₹1,500

3 वर्ष का ब्याज = ₹4,500

मूलधन = ₹13,500

ब्याज दर = 11.11%

19. Find the simple interest on ₹7,500 for 2 years 3 months at 8% per annum.
₹7,500 पर 2 वर्ष 3 महीने के लिए 8% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 2 + 3/12 = 2.25 years

SI = (7,500 × 8 × 2.25) / 100 = ₹1,350

Hindi:

समय = 2.25 वर्ष

साधारण ब्याज = ₹1,350

20. The compound interest on ₹3,000 for 2 years is ₹315. Find the rate of interest per annum.
₹3,000 पर 2 वर्षों के लिए चक्रवृद्धि ब्याज ₹315 है। वार्षिक ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Amount = 3,000 + 315 = ₹3,315

Let rate = R%

3,315 = 3,000 × (1 + R/100)²

(1 + R/100)² = 3,315 / 3,000 = 1.105

1 + R/100 = √1.105 ≈ 1.051

R ≈ 5.1%

Hindi:

राशि = ₹3,315

1 + R/100 = 1.051 → R ≈ 5.1%

21. Find the simple interest on ₹9,600 for 3 years 4 months at 9% per annum.
₹9,600 पर 3 वर्ष 4 महीने के लिए 9% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 3 + 4/12 = 3.33 years

SI = (9,600 × 9 × 3.33) / 100 ≈ ₹2,880

Hindi:

समय = 3.33 वर्ष

साधारण ब्याज ≈ ₹2,880

22. A sum of ₹11,000 amounts to ₹13,750 in 2.5 years. Find the rate of interest (simple interest).
₹11,000 की राशि 2.5 वर्षों में ₹13,750 हो जाती है। ब्याज दर ज्ञात करें (साधारण ब्याज)।

Answer / उत्तर:

English:

SI = 13,750 – 11,000 = ₹2,750

Rate = (2,750 × 100) / (11,000 × 2.5) = 10%

Hindi:

साधारण ब्याज = ₹2,750

ब्याज दर = 10%

23. If the compound interest on ₹8,000 for 3 years at 5% per annum compounded annually is ₹1,260, find the amount.
₹8,000 पर 3 वर्षों के लिए 5% वार्षिक चक्रवृद्धि ब्याज ₹1,260 है। राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = Principal + CI = 8,000 + 1,260 = ₹9,260

Hindi:

राशि = ₹9,260

24. Find the amount on ₹6,000 for 1 year at 10% per annum compounded half-yearly.
₹6,000 पर 1 वर्ष के लिए 10% वार्षिक छमाही चक्रवृद्धि ब्याज के साथ राशि ज्ञात करें।

Answer / उत्तर:

English:

Rate per half year = 10% / 2 = 5%

Number of half years = 2

Amount = 6,000 × (1 + 0.05)² = 6,000 × 1.1025 = ₹6,615

Hindi:

छमाही दर = 5%

राशि = ₹6,615

25. A sum of money invested at compound interest doubles itself in 8 years. Find the rate of interest.
एक राशि चक्रवृद्धि ब्याज पर 8 वर्षों में दोगुनी हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

(1 + R/100)⁸ = 2

1 + R/100 = 2^1/8 ≈ 1.0905

R ≈ 9.05%

Hindi:

1 + R/100 = 2^1/8 ≈ 1.0905 → R ≈ 9.05%

26. Find the compound interest on ₹12,000 for 2 years at 8% per annum compounded annually.
₹12,000 पर 2 वर्षों के लिए 8% वार्षिक चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Amount = 12,000 × (1 + 0.08)² = 12,000 × 1.1664 = ₹13,996.80

CI = 13,996.80 – 12,000 = ₹1,996.80

Hindi:

राशि = 12,000 × (1 + 0.08)² = ₹13,996.80

चक्रवृद्धि ब्याज = ₹1,996.80

27. A sum of ₹10,000 is invested at compound interest at 6% per annum. Find the amount after 3 years.
₹10,000 चक्रवृद्धि ब्याज पर 6% वार्षिक दर से निवेश किया जाता है। 3 वर्षों के बाद राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = 10,000 × (1 + 0.06)³ = 10,000 × 1.191016 = ₹11,910.16

Hindi:

राशि = ₹11,910.16

28. Find the simple interest on ₹5,000 for 1 year 6 months at 7% per annum.
₹5,000 पर 1 वर्ष 6 महीने के लिए 7% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 1.5 years

SI = (5,000 × 7 × 1.5) / 100 = ₹525

Hindi:

समय = 1.5 वर्ष

साधारण ब्याज = ₹525

29. The compound interest on ₹9,000 for 2 years at 10% per annum compounded annually is?
₹9,000 पर 2 वर्षों के लिए 10% वार्षिक चक्रवृद्धि ब्याज क्या होगा?

Answer / उत्तर:

English:

Amount = 9,000 × (1 + 0.10)² = 9,000 × 1.21 = ₹10,890

CI = 10,890 – 9,000 = ₹1,890

Hindi:

राशि = ₹10,890

चक्रवृद्धि ब्याज = ₹1,890

30. Find the simple interest on ₹8,000 for 4 years at 12% per annum.
₹8,000 पर 4 वर्षों के लिए 12% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

SI = (8,000 × 12 × 4) / 100 = ₹3,840

Hindi:

साधारण ब्याज = ₹3,840

31. A sum amounts to ₹12,100 in 2 years and ₹13,310 in 3 years at simple interest. Find the principal and rate.
एक राशि 2 वर्षों में ₹12,100 और 3 वर्षों में ₹13,310 हो जाती है साधारण ब्याज पर। मूलधन और ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Interest for 1 year = 13,310 – 12,100 = ₹1,210

Interest for 2 years = 1,210 × 2 = ₹2,420

Principal = 12,100 – 2,420 = ₹9,680

Rate = (1,210 × 100) / 9,680 = 12.5%

Hindi:

1 वर्ष का ब्याज = ₹1,210

2 वर्ष का ब्याज = ₹2,420

मूलधन = ₹9,680

ब्याज दर = 12.5%

32. Find the compound interest on ₹7,500 for 1 year at 12% per annum compounded quarterly.
₹7,500 पर 1 वर्ष के लिए 12% वार्षिक त्रैमासिक चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Rate per quarter = 12% / 4 = 3%

Number of quarters = 4

Amount = 7,500 × (1 + 0.03)⁴ = 7,500 × 1.1255 = ₹8,441.25

CI = 8,441.25 – 7,500 = ₹941.25

Hindi:

त्रैमासिक दर = 3%

राशि = ₹8,441.25

चक्रवृद्धि ब्याज = ₹941.25

33. A sum of ₹5,000 amounts to ₹5,400 in 2 years at simple interest. Find the rate.
₹5,000 की राशि 2 वर्षों में ₹5,400 हो जाती है साधारण ब्याज पर। दर ज्ञात करें।

Answer / उत्तर:

English:

SI = 5,400 – 5,000 = ₹400

Rate = (400 × 100) / (5,000 × 2) = 4%

Hindi:

साधारण ब्याज = ₹400

दर = 4%

34. Calculate compound interest on ₹6,000 for 3 years at 5% per annum compounded annually.
₹6,000 पर 3 वर्षों के लिए 5% वार्षिक चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Amount = 6,000 × (1 + 0.05)³ = 6,000 × 1.157625 = ₹6,945.75

CI = 6,945.75 – 6,000 = ₹945.75

Hindi:

राशि = ₹6,945.75

चक्रवृद्धि ब्याज = ₹945.75

35. The simple interest on a sum for 3 years is ₹1,200 and for 5 years is ₹2,000. Find the principal and rate of interest.
किसी राशि पर 3 वर्षों का साधारण ब्याज ₹1,200 है और 5 वर्षों का ₹2,000 है। मूलधन और ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Interest for 2 years = 2,000 – 1,200 = ₹800

Interest for 1 year = 800 / 2 = ₹400

Principal = (1,200 × 100) / (3 × 400) = ₹1,000

Rate = (400 × 100) / 1,000 = 40%

Hindi:

2 वर्ष का ब्याज = ₹800

1 वर्ष का ब्याज = ₹400

मूलधन = ₹1,000

दर = 40%

36. Find the compound interest on ₹25,000 for 2 years at 4% per annum compounded semi-annually.
₹25,000 पर 2 वर्षों के लिए 4% वार्षिक छमाही चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Rate per half year = 4% / 2 = 2%

Number of half years = 2 × 2 = 4

Amount = 25,000 × (1 + 0.02)⁴ = 25,000 × 1.082432 = ₹27,060.80

CI = 27,060.80 – 25,000 = ₹2,060.80

Hindi:

छमाही दर = 2%

राशि = ₹27,060.80

चक्रवृद्धि ब्याज = ₹2,060.80

37. A sum of ₹8,000 amounts to ₹9,680 in 2 years at compound interest. Find the rate of interest.
₹8,000 की राशि 2 वर्षों में चक्रवृद्धि ब्याज पर ₹9,680 हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

Amount = 8,000 × (1 + R/100)² = 9,680

(1 + R/100)² = 9,680 / 8,000 = 1.21

1 + R/100 = √1.21 = 1.1

R = 10%

Hindi:

1 + R/100 = 1.1

दर = 10%

38. Calculate the simple interest on ₹7,500 for 9 months at 8% per annum.
₹7,500 पर 9 महीने के लिए 8% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 9/12 = 0.75 years

SI = (7,500 × 8 × 0.75) / 100 = ₹450

Hindi:

समय = 0.75 वर्ष

साधारण ब्याज = ₹450

39. Find the amount on ₹15,000 for 3 years at 6% per annum compounded annually.
₹15,000 पर 3 वर्षों के लिए 6% वार्षिक चक्रवृद्धि ब्याज के साथ राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = 15,000 × (1 + 0.06)³ = 15,000 × 1.191016 = ₹17,865.24

Hindi:

राशि = ₹17,865.24

40. The compound interest on ₹20,000 for 2 years at 5% per annum compounded annually is?
₹20,000 पर 2 वर्षों के लिए 5% वार्षिक चक्रवृद्धि ब्याज क्या होगा?

Answer / उत्तर:

English:

Amount = 20,000 × (1 + 0.05)² = 20,000 × 1.1025 = ₹22,050

CI = 22,050 – 20,000 = ₹2,050

Hindi:

राशि = ₹22,050

चक्रवृद्धि ब्याज = ₹2,050

41. Find the simple interest on ₹9,000 for 5 years at 10% per annum.
₹9,000 पर 5 वर्षों के लिए 10% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

SI = (9,000 × 10 × 5) / 100 = ₹4,500

Hindi:

साधारण ब्याज = ₹4,500

42. A sum of ₹3,200 amounts to ₹4,000 in 2 years at simple interest. Find the rate.
₹3,200 की राशि 2 वर्षों में साधारण ब्याज पर ₹4,000 हो जाती है। दर ज्ञात करें।

Answer / उत्तर:

English:

SI = 4,000 – 3,200 = ₹800

Rate = (800 × 100) / (3,200 × 2) = 12.5%

Hindi:

साधारण ब्याज = ₹800

दर = 12.5%

43. Find the compound interest on ₹10,000 for 2 years at 10% per annum compounded half-yearly.
₹10,000 पर 2 वर्षों के लिए 10% वार्षिक छमाही चक्रवृद्धि ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Rate per half year = 10% / 2 = 5%

Number of half years = 4

Amount = 10,000 × (1 + 0.05)⁴ = 10,000 × 1.21550625 = ₹12,155.06

CI = 12,155.06 – 10,000 = ₹2,155.06

Hindi:

छमाही दर = 5%

चक्रवृद्धि ब्याज = ₹2,155.06

44. A sum of money is invested at 8% per annum compounded annually. It amounts to ₹11,664 in 3 years. Find the principal.
एक राशि 8% वार्षिक चक्रवृद्धि ब्याज पर निवेश की गई है। 3 वर्षों में यह ₹11,664 हो जाती है। मूलधन ज्ञात करें।

Answer / उत्तर:

English:

Amount = P × (1 + 0.08)³ = 11,664

1.08³ = 1.259712

Principal = 11,664 / 1.259712 = ₹9,260

Hindi:

मूलधन = ₹9,260

45. Find the simple interest on ₹4,500 for 2 years 6 months at 9% per annum.
₹4,500 पर 2 वर्ष 6 महीने के लिए 9% वार्षिक साधारण ब्याज ज्ञात करें।

Answer / उत्तर:

English:

Time = 2.5 years

SI = (4,500 × 9 × 2.5) / 100 = ₹1,012.50

Hindi:

साधारण ब्याज = ₹1,012.50

46. The compound interest on ₹16,000 for 2 years at 5% per annum compounded annually is ₹1,640. Find the amount.
₹16,000 पर 2 वर्षों के लिए 5% वार्षिक चक्रवृद्धि ब्याज ₹1,640 है। राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = Principal + CI = 16,000 + 1,640 = ₹17,640

Hindi:

राशि = ₹17,640

47. Find the rate of interest if ₹8,000 amounts to ₹10,000 in 2 years at compound interest.
₹8,000 राशि 2 वर्षों में चक्रवृद्धि ब्याज पर ₹10,000 हो जाती है। ब्याज दर ज्ञात करें।

Answer / उत्तर:

English:

(1 + R/100)² = 10,000 / 8,000 = 1.25

1 + R/100 = √1.25 = 1.118

R = 11.8%

Hindi:

दर = 11.8%

48. A sum of ₹6,000 is invested at 8% per annum simple interest. Find the interest for 4 years.
₹6,000 8% वार्षिक साधारण ब्याज पर निवेश किया गया है। 4 वर्षों के लिए ब्याज ज्ञात करें।

Answer / उत्तर:

English:

SI = (6,000 × 8 × 4) / 100 = ₹1,920

Hindi:

साधारण ब्याज = ₹1,920

49. Find the amount on ₹11,000 for 3 years at 5% per annum compounded annually.
₹11,000 पर 3 वर्षों के लिए 5% वार्षिक चक्रवृद्धि ब्याज के साथ राशि ज्ञात करें।

Answer / उत्तर:

English:

Amount = 11,000 × (1 + 0.05)³ = 11,000 × 1.157625 = ₹12,733.88

Hindi:

राशि = ₹12,733.88

50. The simple interest on a sum for 5 years at 6% per annum is ₹1,500. Find the principal.
किसी राशि पर 5 वर्षों के लिए 6% वार्षिक साधारण ब्याज ₹1,500 है। मूलधन ज्ञात करें।

Answer / उत्तर:

English:

SI = (P × 6 × 5) / 100 = 1,500

P = (1,500 × 100) / (6 × 5) = ₹5,000

Hindi:

मूलधन = ₹5,000

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