Compound Interest Test 2
Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.
Compound Interest Test 2
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-SI difference
1. For 2 years, the difference between compound interest and simple interest on ₹11,000 at 11% p.a. is: / ₹11,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹133.10 (Correct)
- B. ₹83.10
- C. ₹2,420
- D. ₹183.10
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 11000×(11/100)^2 = ₹133.10. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 11000×(11/100)^2 = ₹133.10।
- Compound Interest — Amount compound annually
2. A sum of ₹9,000 is compounded annually at 20% for 2 years. Find the amount. / ₹9,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹12,760
- B. ₹13,160
- C. ₹12,960 (Correct)
- D. ₹12,600
Explanation: Amount = 9000×1.2^2 = ₹12,960. / राशि = 9000×1.2^2 = ₹12,960।
- Compound Interest — Half-yearly compounding
3. Find CI on ₹15,000 for 1 year at 10% p.a. compounded half-yearly. / ₹15,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो।
- A. ₹1,500
- B. ₹1,487.50
- C. ₹1,537.50 (Correct)
- D. ₹1,587.50
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
4. If amount on ₹9,000 after 2 years at 9% compound interest is calculated annually, what is the interest? / ₹9,000 पर 9% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा?
- A. ₹1,620
- B. ₹1,692.90 (Correct)
- C. ₹1,772.90
- D. ₹1,612.90
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
5. Find compound interest on ₹6,000 at 10% p.a. for 2 years, compounded annually. (Set 25) / ₹6,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 25)
- A. ₹1,200
- B. ₹1,360
- C. ₹1,260 (Correct)
- D. ₹1,160
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
6. Jyoti invests ₹9,000 at 7% compound interest for 1 year. Find amount. / Jyoti ने ₹9,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹9,530
- B. ₹9,630 (Correct)
- C. ₹9,000
- D. ₹9,730
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
7. For 2 years, the difference between compound interest and simple interest on ₹12,000 at 13% p.a. is: / ₹12,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹202.80 (Correct)
- B. ₹252.80
- C. ₹152.80
- D. ₹3,120
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 12000×(13/100)^2 = ₹202.80. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 12000×(13/100)^2 = ₹202.80।
- Compound Interest — Amount compound annually
8. A sum of ₹8,000 is compounded annually at 20% for 2 years. Find the amount. / ₹8,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹11,200
- B. ₹11,320
- C. ₹11,720
- D. ₹11,520 (Correct)
Explanation: Amount = 8000×1.2^2 = ₹11,520. / राशि = 8000×1.2^2 = ₹11,520।
- Compound Interest — Half-yearly compounding
9. Find CI on ₹16,000 for 1 year at 10% p.a. compounded half-yearly. / ₹16,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो।
- A. ₹1,590
- B. ₹1,690
- C. ₹1,600
- D. ₹1,640 (Correct)
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
10. If amount on ₹9,000 after 2 years at 5% compound interest is calculated annually, what is the interest? / ₹9,000 पर 5% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा?
- A. ₹900
- B. ₹922.50 (Correct)
- C. ₹842.50
- 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 — CI two years
11. Find compound interest on ₹12,000 at 10% p.a. for 2 years, compounded annually. (Set 31) / ₹12,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 31)
- A. ₹2,620
- B. ₹2,420
- C. ₹2,400
- 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
12. Pooja invests ₹7,000 at 7% compound interest for 1 year. Find amount. / Pooja 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
13. For 2 years, the difference between compound interest and simple interest on ₹13,000 at 11% p.a. is: / ₹13,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹2,860
- B. ₹157.30 (Correct)
- C. ₹107.30
- D. ₹207.30
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 13000×(11/100)^2 = ₹157.30. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 13000×(11/100)^2 = ₹157.30।
- Compound Interest — Amount compound annually
14. A sum of ₹14,000 is compounded annually at 20% for 2 years. Find the amount. / ₹14,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹19,600
- B. ₹20,160 (Correct)
- C. ₹19,960
- D. ₹20,360
Explanation: Amount = 14000×1.2^2 = ₹20,160. / राशि = 14000×1.2^2 = ₹20,160।
- Compound Interest — Half-yearly compounding
15. Find CI on ₹12,000 for 1 year at 10% p.a. compounded half-yearly. (Set 35) / ₹12,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 35)
- A. ₹1,180
- B. ₹1,200
- C. ₹1,230 (Correct)
- 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
16. If amount on ₹9,000 after 2 years at 6% compound interest is calculated annually, what is the interest? (Set 36) / ₹9,000 पर 6% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 36)
- A. ₹1,080
- B. ₹1,032.40
- C. ₹1,112.40 (Correct)
- D. ₹1,192.40
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
17. Find compound interest on ₹10,000 at 10% p.a. for 2 years, compounded annually. (Set 37) / ₹10,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 37)
- A. ₹2,000
- B. ₹2,205
- C. ₹2,200
- D. ₹2,100 (Correct)
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
18. Bhavna invests ₹10,000 at 7% compound interest for 1 year. Find amount. / Bhavna ने ₹10,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें।
- A. ₹10,000
- B. ₹10,700 (Correct)
- C. ₹10,800
- D. ₹10,600
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
19. For 2 years, the difference between compound interest and simple interest on ₹14,000 at 13% p.a. is: / ₹14,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है:
- A. ₹236.60 (Correct)
- B. ₹186.60
- C. ₹3,640
- D. ₹286.60
Explanation: For 2 years, CI−SI = P×(r/100)^2 = 14000×(13/100)^2 = ₹236.60. / 2 वर्ष के लिए CI−SI = P×(r/100)^2 = 14000×(13/100)^2 = ₹236.60।
- Compound Interest — Amount compound annually
20. A sum of ₹13,000 is compounded annually at 20% for 2 years. Find the amount. / ₹13,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें।
- A. ₹18,200
- B. ₹18,720 (Correct)
- C. ₹18,920
- D. ₹18,520
Explanation: Amount = 13000×1.2^2 = ₹18,720. / राशि = 13000×1.2^2 = ₹18,720।
- Compound Interest — Percentage / प्रतिशत
21. 15% of 700 is: / 700 का 15% कितना है?
- A. 95
- B. 105 (Correct)
- C. 115
- D. 125
Explanation: 15% = 15/100, so answer = 105. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।
- Compound Interest — Profit-Loss / लाभ-हानि
22. An article bought for Rs 950 is sold at 20% profit. Find SP. / Rs 950 में खरीदी वस्तु 20% लाभ पर बेची गई। SP ज्ञात करें।
- A. Rs 1100
- B. Rs 1140 (Correct)
- C. Rs 1180
- D. Rs 1220
Explanation: SP = CP x (100 + profit%)/100 = 950 x 120/100 = Rs 1140. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।
- Compound Interest — Time & Work / समय और कार्य
23. A finishes a work in 21 days and B in 27 days. Together they finish in: / A 21 दिन और B 27 दिन में काम पूरा करते हैं। साथ में समय?
- A. 10.8 days
- B. 11.8 days (Correct)
- C. 12.8 days
- D. 13.8 days
Explanation: Combined time = ab/(a+b) = 21 x 27 / 48 = 11.8 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: 20 x 14 + 20 - 14. / सरल करें: 20 x 14 + 20 - 14.
- A. 278
- B. 286 (Correct)
- C. 294
- D. 302
Explanation: Apply BODMAS: 280 + 20 - 14 = 286. / पहले गुणा, फिर जोड़-घटाव करें।