Compound Interest Test 6
Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.
Compound Interest Test 6
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 101) / ₹13,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 101)
- A. ₹1,332.50 (Correct)
- B. ₹1,282.50
- C. ₹1,382.50
- D. ₹1,300
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 102) / ₹9,000 पर 7% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 102)
- A. ₹1,304.10 (Correct)
- B. ₹1,224.10
- C. ₹1,384.10
- D. ₹1,260
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 ₹12,000 at 10% p.a. for 2 years, compounded annually. (Set 103) / ₹12,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 103)
- A. ₹2,400
- B. ₹2,520 (Correct)
- C. ₹2,620
- D. ₹2,420
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
4. Hina invests ₹8,000 at 7% compound interest for 1 year. Find amount. (Set 104) / Hina ने ₹8,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 104)
- A. ₹8,660
- B. ₹8,000
- C. ₹8,460
- 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
5. For 2 years, the difference between compound interest and simple interest on ₹10,000 at 11% p.a. is: (Set 105) / ₹10,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 105)
- A. ₹171
- B. ₹121 (Correct)
- C. ₹2,200
- 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 ₹9,000 is compounded annually at 20% for 2 years. Find the amount. (Set 106) / ₹9,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 106)
- A. ₹13,160
- B. ₹12,600
- C. ₹12,960 (Correct)
- D. ₹12,760
Explanation: Amount = 9000×1.2^2 = ₹12,960. / राशि = 9000×1.2^2 = ₹12,960।
- Compound Interest — Half-yearly compounding
7. Find CI on ₹14,000 for 1 year at 10% p.a. compounded half-yearly. (Set 107) / ₹14,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 107)
- A. ₹1,435 (Correct)
- B. ₹1,385
- C. ₹1,485
- D. ₹1,400
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 108) / ₹9,000 पर 8% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 108)
- A. ₹1,417.60
- B. ₹1,497.60 (Correct)
- C. ₹1,577.60
- 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
9. Find compound interest on ₹10,000 at 10% p.a. for 2 years, compounded annually. (Set 109) / ₹10,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 109)
- A. ₹2,205
- B. ₹2,000
- C. ₹2,100 (Correct)
- 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
10. Nisha invests ₹6,000 at 7% compound interest for 1 year. Find amount. (Set 110) / Nisha ने ₹6,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 110)
- A. ₹6,520
- B. ₹6,420 (Correct)
- C. ₹6,000
- 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: (Set 111) / ₹11,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 111)
- A. ₹185.90 (Correct)
- B. ₹135.90
- C. ₹2,860
- 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 ₹8,000 is compounded annually at 20% for 2 years. Find the amount. (Set 112) / ₹8,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 112)
- A. ₹11,520 (Correct)
- B. ₹11,200
- C. ₹11,720
- D. ₹11,320
Explanation: Amount = 8000×1.2^2 = ₹11,520. / राशि = 8000×1.2^2 = ₹11,520।
- Compound Interest — Half-yearly compounding
13. Find CI on ₹15,000 for 1 year at 10% p.a. compounded half-yearly. (Set 113) / ₹15,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 113)
- A. ₹1,487.50
- B. ₹1,500
- C. ₹1,587.50
- D. ₹1,537.50 (Correct)
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 114) / ₹9,000 पर 9% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 114)
- A. ₹1,612.90
- B. ₹1,692.90 (Correct)
- C. ₹1,772.90
- 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 ₹8,000 at 10% p.a. for 2 years, compounded annually. (Set 115) / ₹8,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 115)
- A. ₹1,600
- B. ₹1,580
- C. ₹1,680 (Correct)
- D. ₹1,780
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
16. Uma invests ₹9,000 at 7% compound interest for 1 year. Find amount. (Set 116) / Uma ने ₹9,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 116)
- A. ₹9,730
- B. ₹9,530
- C. ₹9,630 (Correct)
- D. ₹9,000
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: (Set 117) / ₹12,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 117)
- A. ₹2,640
- B. ₹95.20
- C. ₹145.20 (Correct)
- D. ₹195.20
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 ₹14,000 is compounded annually at 20% for 2 years. Find the amount. (Set 118) / ₹14,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 118)
- A. ₹20,360
- B. ₹20,160 (Correct)
- C. ₹19,960
- D. ₹19,600
Explanation: Amount = 14000×1.2^2 = ₹20,160. / राशि = 14000×1.2^2 = ₹20,160।
- Compound Interest — Half-yearly compounding
19. Find CI on ₹16,000 for 1 year at 10% p.a. compounded half-yearly. (Set 119) / ₹16,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 119)
- A. ₹1,590
- B. ₹1,600
- C. ₹1,640 (Correct)
- D. ₹1,690
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 120) / ₹9,000 पर 5% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 120)
- A. ₹1,002.50
- B. ₹842.50
- C. ₹922.50 (Correct)
- D. ₹900
Explanation: CI = 9000[(1+5/100)^2−1] = ₹922.50. / CI = 9000[(1+5/100)^2−1] = ₹922.50।
- Compound Interest — Percentage / प्रतिशत
21. 25% of 600 is: / 600 का 25% कितना है?
- A. 140
- B. 150 (Correct)
- C. 160
- D. 170
Explanation: 25% = 25/100, so answer = 150. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
- Compound Interest — Profit-Loss / लाभ-हानि
22. An article bought for Rs 1150 is sold at 20% profit. Find SP. / Rs 1150 में खरीदी वस्तु 20% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1340
- B. Rs 1380 (Correct)
- C. Rs 1420
- D. Rs 1460
Explanation: SP = CP x (100 + profit%)/100 = 1150 x 120/100 = Rs 1380. / 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. 72 km/h equals: / 72 किमी/घंटा बराबर है:
- A. 17 m/s
- B. 20 m/s (Correct)
- C. 23 m/s
- D. 25 m/s
Explanation: km/h to m/s conversion uses x 5/18. 72 x 5/18 = 20. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।
- Compound Interest — Simplification / सरलीकरण
25. Simplify: 25 x 12 + 25 - 12. / सरल करें: 25 x 12 + 25 - 12.
- A. 305
- B. 313 (Correct)
- C. 321
- D. 329
Explanation: Apply BODMAS: 300 + 25 - 12 = 313. / पहले गुणा, फिर जोड़-घटाव करें।