Compound Interest Test 1
Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.
Compound Interest Test 1
25 bilingual MCQs from Compound Interest, including 5 fresh LearnAtMyPlace original supplemental questions with detailed solutions. Graph questions render as proper visual charts with preserved Hindi, ₹, ×, %, ratios and equations.
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- Compound Interest — CI two years
1. Find compound interest on ₹6,000 at 10% p.a. for 2 years, compounded annually. / ₹6,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें।
- A. ₹1,160
- B. ₹1,260 (Correct)
- C. ₹1,360
- D. ₹1,200
Explanation: CI = P[(1+r/100)^2−1] = 6000[(1.10)^2−1] = ₹1,260. / CI = P[(1+r/100)^2−1] = 6000[(1.10)^2−1] = ₹1,260।
- Compound Interest — One year amount
2. Farhan invests ₹7,000 at 7% compound interest for 1 year. Find amount. / Farhan ने ₹7,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹7,590
- B. ₹7,000
- C. ₹7,390
- D. ₹7,490 (Correct)
Explanation: For one year, CI amount = P(1+r/100) = 7000×(1+7/100) = ₹7,490. / एक वर्ष में राशि = P(1+r/100) = 7000×(1+7/100) = ₹7,490।
- Compound Interest — CI-SI difference
3. For 2 years, the difference between compound interest and simple interest on ₹13,000 at 13% p.a. is: / ₹13,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹3,380
- B. ₹219.70 (Correct)
- C. ₹169.70
- D. ₹269.70
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 13000×(13/100)^2 = ₹219.70. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 13000×(13/100)^2 = ₹219.70।
- Compound Interest — Amount compound annually
4. A sum of ₹12,000 is compounded annually at 20% for 2 years. Find the amount. / ₹12,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹17,480
- B. ₹17,280 (Correct)
- C. ₹17,080
- D. ₹16,800
Explanation: Amount = 12000×1.2^2 = ₹17,280. / राशि = 12000×1.2^2 = ₹17,280।
- Compound Interest — Half-yearly compounding
5. Find CI on ₹12,000 for 1 year at 10% p.a. compounded half-yearly. / ₹12,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो।
- A. ₹1,230 (Correct)
- B. ₹1,200
- C. ₹1,180
- D. ₹1,280
Explanation: Half-yearly rate = 5%, periods = 2. CI = 12000[(1.05)^2−1] = ₹1,230. / अर्धवार्षिक दर = 5%, अवधियाँ = 2। CI = 12000[(1.05)^2−1] = ₹1,230।
- Compound Interest — Interest from amount
6. If amount on ₹9,000 after 2 years at 6% compound interest is calculated annually, what is the interest? / ₹9,000 पर 6% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा?
- A. ₹1,032.40
- B. ₹1,192.40
- C. ₹1,080
- D. ₹1,112.40 (Correct)
Explanation: CI = 9000[(1+6/100)^2−1] = ₹1,112.40. / CI = 9000[(1+6/100)^2−1] = ₹1,112.40।
- Compound Interest — CI two years
7. Find compound interest on ₹12,000 at 10% p.a. for 2 years, compounded annually. / ₹12,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें।
- A. ₹2,420
- B. ₹2,400
- C. ₹2,520 (Correct)
- D. ₹2,620
Explanation: CI = P[(1+r/100)^2−1] = 12000[(1.10)^2−1] = ₹2,520. / CI = P[(1+r/100)^2−1] = 12000[(1.10)^2−1] = ₹2,520।
- Compound Interest — One year amount
8. Leena invests ₹10,000 at 7% compound interest for 1 year. Find amount. / Leena ने ₹10,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹10,700 (Correct)
- B. ₹10,000
- C. ₹10,600
- D. ₹10,800
Explanation: For one year, CI amount = P(1+r/100) = 10000×(1+7/100) = ₹10,700. / एक वर्ष में राशि = P(1+r/100) = 10000×(1+7/100) = ₹10,700।
- Compound Interest — CI-SI difference
9. For 2 years, the difference between compound interest and simple interest on ₹14,000 at 11% p.a. is: / ₹14,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹169.40 (Correct)
- B. ₹219.40
- C. ₹119.40
- D. ₹3,080
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 14000×(11/100)^2 = ₹169.40. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 14000×(11/100)^2 = ₹169.40।
- Compound Interest — Amount compound annually
10. A sum of ₹11,000 is compounded annually at 20% for 2 years. Find the amount. / ₹11,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹15,640
- B. ₹16,040
- C. ₹15,400
- D. ₹15,840 (Correct)
Explanation: Amount = 11000×1.2^2 = ₹15,840. / राशि = 11000×1.2^2 = ₹15,840।
- Compound Interest — Half-yearly compounding
11. Find CI on ₹13,000 for 1 year at 10% p.a. compounded half-yearly. / ₹13,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो।
- A. ₹1,332.50 (Correct)
- B. ₹1,300
- C. ₹1,382.50
- D. ₹1,282.50
Explanation: Half-yearly rate = 5%, periods = 2. CI = 13000[(1.05)^2−1] = ₹1,332.50. / अर्धवार्षिक दर = 5%, अवधियाँ = 2। CI = 13000[(1.05)^2−1] = ₹1,332.50।
- Compound Interest — Interest from amount
12. If amount on ₹9,000 after 2 years at 7% compound interest is calculated annually, what is the interest? / ₹9,000 पर 7% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा?
- A. ₹1,304.10 (Correct)
- B. ₹1,384.10
- C. ₹1,260
- D. ₹1,224.10
Explanation: CI = 9000[(1+7/100)^2−1] = ₹1,304.10. / CI = 9000[(1+7/100)^2−1] = ₹1,304.10।
- Compound Interest — CI two years
13. Find compound interest on ₹10,000 at 10% p.a. for 2 years, compounded annually. / ₹10,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें।
- A. ₹2,205
- B. ₹2,100 (Correct)
- C. ₹2,000
- D. ₹2,200
Explanation: CI = P[(1+r/100)^2−1] = 10000[(1.10)^2−1] = ₹2,100. / CI = P[(1+r/100)^2−1] = 10000[(1.10)^2−1] = ₹2,100।
- Compound Interest — One year amount
14. Sonal invests ₹8,000 at 7% compound interest for 1 year. Find amount. / Sonal ने ₹8,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹8,660
- B. ₹8,460
- C. ₹8,000
- D. ₹8,560 (Correct)
Explanation: For one year, CI amount = P(1+r/100) = 8000×(1+7/100) = ₹8,560. / एक वर्ष में राशि = P(1+r/100) = 8000×(1+7/100) = ₹8,560।
- Compound Interest — CI-SI difference
15. For 2 years, the difference between compound interest and simple interest on ₹10,000 at 13% p.a. is: / ₹10,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹2,600
- B. ₹119
- C. ₹169 (Correct)
- D. ₹219
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 10000×(13/100)^2 = ₹169. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 10000×(13/100)^2 = ₹169।
- Compound Interest — Amount compound annually
16. A sum of ₹10,000 is compounded annually at 20% for 2 years. Find the amount. / ₹10,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹14,400 (Correct)
- B. ₹14,200
- C. ₹14,000
- D. ₹14,600
Explanation: Amount = 10000×1.2^2 = ₹14,400. / राशि = 10000×1.2^2 = ₹14,400।
- Compound Interest — Half-yearly compounding
17. Find CI on ₹14,000 for 1 year at 10% p.a. compounded half-yearly. / ₹14,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो।
- A. ₹1,435 (Correct)
- B. ₹1,485
- C. ₹1,400
- D. ₹1,385
Explanation: Half-yearly rate = 5%, periods = 2. CI = 14000[(1.05)^2−1] = ₹1,435. / अर्धवार्षिक दर = 5%, अवधियाँ = 2। CI = 14000[(1.05)^2−1] = ₹1,435।
- Compound Interest — Interest from amount
18. If amount on ₹9,000 after 2 years at 8% compound interest is calculated annually, what is the interest? / ₹9,000 पर 8% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा?
- A. ₹1,577.60
- B. ₹1,417.60
- C. ₹1,497.60 (Correct)
- D. ₹1,440
Explanation: CI = 9000[(1+8/100)^2−1] = ₹1,497.60. / CI = 9000[(1+8/100)^2−1] = ₹1,497.60।
- Compound Interest — CI two years
19. Find compound interest on ₹8,000 at 10% p.a. for 2 years, compounded annually. / ₹8,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें।
- A. ₹1,600
- B. ₹1,580
- C. ₹1,780
- D. ₹1,680 (Correct)
Explanation: CI = P[(1+r/100)^2−1] = 8000[(1.10)^2−1] = ₹1,680. / CI = P[(1+r/100)^2−1] = 8000[(1.10)^2−1] = ₹1,680।
- Compound Interest — One year amount
20. Deepak invests ₹6,000 at 7% compound interest for 1 year. Find amount. / Deepak ने ₹6,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹6,000
- B. ₹6,420 (Correct)
- C. ₹6,320
- D. ₹6,520
Explanation: For one year, CI amount = P(1+r/100) = 6000×(1+7/100) = ₹6,420. / एक वर्ष में राशि = P(1+r/100) = 6000×(1+7/100) = ₹6,420।
- Compound Interest — Percentage / प्रतिशत
21. 25% of 725 is: / 725 का 25% कितना है?
- A. 171.25
- B. 181.25 (Correct)
- C. 191.25
- D. 201.25
Explanation: 25% = 25/100, so answer = 181.25. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
- Compound Interest — Profit-Loss / लाभ-हानि
22. An article bought for Rs 900 is sold at 15% profit. Find SP. / Rs 900 में खरीदी वस्तु 15% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 995
- B. Rs 1035 (Correct)
- C. Rs 1075
- D. Rs 1115
Explanation: SP = CP x (100 + profit%)/100 = 900 x 115/100 = Rs 1035. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
- Compound Interest — Time & Work / समय और कार्य
23. A finishes a work in 15 days and B in 21 days. Together they finish in: / A 15 दिन और B 21 दिन में काम पूरा करते हैं। साथ में समय?
- A. 7.800000000000001 days
- B. 8.8 days (Correct)
- C. 9.8 days
- D. 10.8 days
Explanation: Combined time = ab/(a+b) = 15 x 21 / 36 = 8.8 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
- Compound Interest — Speed Conversion / चाल परिवर्तन
24. 54 km/h equals: / 54 किमी/घंटा बराबर है:
- A. 12 m/s
- B. 15 m/s (Correct)
- C. 18 m/s
- D. 20 m/s
Explanation: km/h to m/s conversion uses x 5/18. 54 x 5/18 = 15. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
- Compound Interest — Simplification / सरलीकरण
25. Simplify: 21 x 18 + 21 - 18. / सरल करें: 21 x 18 + 21 - 18.
- A. 373
- B. 381 (Correct)
- C. 389
- D. 397
Explanation: Apply BODMAS: 378 + 21 - 18 = 381. / पहले गुणा, फिर जोड़-घटाव करें।