Compound Interest Test 3
Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.
Compound Interest Test 3
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 — Half-yearly compounding
1. Find CI on ₹13,000 for 1 year at 10% p.a. compounded half-yearly. (Set 41) / ₹13,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 41)
- A. ₹1,382.50
- B. ₹1,332.50 (Correct)
- C. ₹1,300
- 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
2. If amount on ₹9,000 after 2 years at 7% compound interest is calculated annually, what is the interest? (Set 42) / ₹9,000 पर 7% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 42)
- A. ₹1,384.10
- B. ₹1,260
- C. ₹1,224.10
- D. ₹1,304.10 (Correct)
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
3. Find compound interest on ₹8,000 at 10% p.a. for 2 years, compounded annually. (Set 43) / ₹8,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 43)
- A. ₹1,780
- B. ₹1,580
- C. ₹1,600
- 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
4. Hina invests ₹8,000 at 7% compound interest for 1 year. Find amount. / Hina ने ₹8,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹8,660
- B. ₹8,560 (Correct)
- C. ₹8,000
- D. ₹8,460
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
5. For 2 years, the difference between compound interest and simple interest on ₹10,000 at 11% p.a. is: / ₹10,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹121 (Correct)
- B. ₹2,200
- C. ₹171
- D. ₹71
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 10000×(11/100)^2 = ₹121. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 10000×(11/100)^2 = ₹121।
- Compound Interest — Amount compound annually
6. A sum of ₹12,000 is compounded annually at 20% for 2 years. Find the amount. (Set 46) / ₹12,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 46)
- A. ₹17,480
- B. ₹17,080
- C. ₹16,800
- D. ₹17,280 (Correct)
Explanation: Amount = 12000×1.2^2 = ₹17,280. / राशि = 12000×1.2^2 = ₹17,280।
- Compound Interest — Half-yearly compounding
7. Find CI on ₹14,000 for 1 year at 10% p.a. compounded half-yearly. (Set 47) / ₹14,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 47)
- A. ₹1,385
- B. ₹1,400
- C. ₹1,435 (Correct)
- D. ₹1,485
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
8. If amount on ₹9,000 after 2 years at 8% compound interest is calculated annually, what is the interest? (Set 48) / ₹9,000 पर 8% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 48)
- A. ₹1,417.60
- B. ₹1,440
- C. ₹1,497.60 (Correct)
- D. ₹1,577.60
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
9. Find compound interest on ₹6,000 at 10% p.a. for 2 years, compounded annually. (Set 49) / ₹6,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 49)
- A. ₹1,160
- B. ₹1,360
- C. ₹1,200
- D. ₹1,260 (Correct)
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
10. Nisha invests ₹6,000 at 7% compound interest for 1 year. Find amount. / Nisha ने ₹6,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹6,420 (Correct)
- B. ₹6,000
- C. ₹6,520
- D. ₹6,320
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 — CI-SI difference
11. For 2 years, the difference between compound interest and simple interest on ₹11,000 at 13% p.a. is: / ₹11,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹2,860
- B. ₹185.90 (Correct)
- C. ₹135.90
- D. ₹235.90
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 11000×(13/100)^2 = ₹185.90. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 11000×(13/100)^2 = ₹185.90।
- Compound Interest — Amount compound annually
12. A sum of ₹11,000 is compounded annually at 20% for 2 years. Find the amount. (Set 52) / ₹11,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 52)
- A. ₹15,640
- B. ₹15,400
- C. ₹15,840 (Correct)
- D. ₹16,040
Explanation: Amount = 11000×1.2^2 = ₹15,840. / राशि = 11000×1.2^2 = ₹15,840।
- Compound Interest — Half-yearly compounding
13. Find CI on ₹15,000 for 1 year at 10% p.a. compounded half-yearly. (Set 53) / ₹15,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 53)
- A. ₹1,537.50 (Correct)
- B. ₹1,587.50
- C. ₹1,487.50
- D. ₹1,500
Explanation: Half-yearly rate = 5%, periods = 2. CI = 15000[(1.05)^2−1] = ₹1,537.50. / अर्धवार्षिक दर = 5%, अवधियाँ = 2। CI = 15000[(1.05)^2−1] = ₹1,537.50।
- Compound Interest — Interest from amount
14. If amount on ₹9,000 after 2 years at 9% compound interest is calculated annually, what is the interest? (Set 54) / ₹9,000 पर 9% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 54)
- A. ₹1,692.90 (Correct)
- B. ₹1,772.90
- C. ₹1,612.90
- D. ₹1,620
Explanation: CI = 9000[(1+9/100)^2−1] = ₹1,692.90. / CI = 9000[(1+9/100)^2−1] = ₹1,692.90।
- Compound Interest — CI two years
15. Find compound interest on ₹12,000 at 10% p.a. for 2 years, compounded annually. (Set 55) / ₹12,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 55)
- A. ₹2,400
- B. ₹2,620
- C. ₹2,420
- D. ₹2,520 (Correct)
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
16. Uma invests ₹9,000 at 7% compound interest for 1 year. Find amount. / Uma ने ₹9,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹9,530
- B. ₹9,000
- C. ₹9,730
- D. ₹9,630 (Correct)
Explanation: For one year, CI amount = P(1+r/100) = 9000×(1+7/100) = ₹9,630. / एक वर्ष में राशि = P(1+r/100) = 9000×(1+7/100) = ₹9,630।
- Compound Interest — CI-SI difference
17. For 2 years, the difference between compound interest and simple interest on ₹12,000 at 11% p.a. is: / ₹12,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹95.20
- B. ₹2,640
- C. ₹195.20
- D. ₹145.20 (Correct)
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 12000×(11/100)^2 = ₹145.20. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 12000×(11/100)^2 = ₹145.20।
- Compound Interest — Amount compound annually
18. A sum of ₹10,000 is compounded annually at 20% for 2 years. Find the amount. (Set 58) / ₹10,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 58)
- A. ₹14,200
- B. ₹14,600
- C. ₹14,400 (Correct)
- D. ₹14,000
Explanation: Amount = 10000×1.2^2 = ₹14,400. / राशि = 10000×1.2^2 = ₹14,400।
- Compound Interest — Half-yearly compounding
19. Find CI on ₹16,000 for 1 year at 10% p.a. compounded half-yearly. (Set 59) / ₹16,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 59)
- A. ₹1,690
- B. ₹1,590
- C. ₹1,640 (Correct)
- D. ₹1,600
Explanation: Half-yearly rate = 5%, periods = 2. CI = 16000[(1.05)^2−1] = ₹1,640. / अर्धवार्षिक दर = 5%, अवधियाँ = 2। CI = 16000[(1.05)^2−1] = ₹1,640।
- Compound Interest — Interest from amount
20. If amount on ₹9,000 after 2 years at 5% compound interest is calculated annually, what is the interest? (Set 60) / ₹9,000 पर 5% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 60)
- A. ₹842.50
- B. ₹922.50 (Correct)
- C. ₹900
- D. ₹1,002.50
Explanation: CI = 9000[(1+5/100)^2−1] = ₹922.50. / CI = 9000[(1+5/100)^2−1] = ₹922.50।
- Compound Interest — Percentage / प्रतिशत
21. 20% of 675 is: / 675 का 20% कितना है?
- A. 125
- B. 135 (Correct)
- C. 145
- D. 155
Explanation: 20% = 20/100, so answer = 135. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
- Compound Interest — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1000 is sold at 10% profit. Find SP. / Rs 1000 में खरीदी वस्तु 10% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1060
- B. Rs 1100 (Correct)
- C. Rs 1140
- D. Rs 1180
Explanation: SP = CP x (100 + profit%)/100 = 1000 x 110/100 = Rs 1100. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
- Compound Interest — Time & Work / समय और कार्य
23. A finishes a work in 12 days and B in 18 days. Together they finish in: / A 12 दिन और B 18 दिन में काम पूरा करते हैं। साथ में समय?
- A. 6.2 days
- B. 7.2 days (Correct)
- C. 8.2 days
- D. 9.2 days
Explanation: Combined time = ab/(a+b) = 12 x 18 / 30 = 7.2 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।
- Compound Interest — Speed Conversion / चाल परिवर्तन
24. 90 km/h equals: / 90 किमी/घंटा बराबर है:
- A. 22 m/s
- B. 25 m/s (Correct)
- C. 28 m/s
- D. 30 m/s
Explanation: km/h to m/s conversion uses x 5/18. 90 x 5/18 = 25. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
- Compound Interest — Simplification / सरलीकरण
25. Simplify: 19 x 17 + 19 - 17. / सरल करें: 19 x 17 + 19 - 17.
- A. 317
- B. 325 (Correct)
- C. 333
- D. 341
Explanation: Apply BODMAS: 323 + 19 - 17 = 325. / पहले गुणा, फिर जोड़-घटाव करें।