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Compound Interest Test 4

Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.

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Batch 3 | Visual DI

Compound Interest Test 4

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.

Questions
25
Duration
25 min
Marking
+1 / -0.25
Sections
Compound Interest | 25 questions

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  1. Compound Interest — CI two years

    1. Find compound interest on ₹10,000 at 10% p.a. for 2 years, compounded annually. (Set 61) / ₹10,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 61)

    • A. ₹2,000
    • B. ₹2,200
    • C. ₹2,100 (Correct)
    • D. ₹2,205

    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।

  2. Compound Interest — One year amount

    2. Farhan invests ₹7,000 at 7% compound interest for 1 year. Find amount. (Set 62) / Farhan ने ₹7,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 62)

    • A. ₹7,390
    • B. ₹7,000
    • C. ₹7,490 (Correct)
    • D. ₹7,590

    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।

  3. 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: (Set 63) / ₹13,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 63)

    • A. ₹219.70 (Correct)
    • B. ₹169.70
    • C. ₹269.70
    • D. ₹3,380

    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।

  4. Compound Interest — Amount compound annually

    4. A sum of ₹9,000 is compounded annually at 20% for 2 years. Find the amount. (Set 64) / ₹9,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 64)

    • 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।

  5. Compound Interest — Half-yearly compounding

    5. Find CI on ₹12,000 for 1 year at 10% p.a. compounded half-yearly. (Set 65) / ₹12,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 65)

    • A. ₹1,230 (Correct)
    • B. ₹1,280
    • C. ₹1,200
    • D. ₹1,180

    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।

  6. 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? (Set 66) / ₹9,000 पर 6% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 66)

    • 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।

  7. Compound Interest — CI two years

    7. Find compound interest on ₹8,000 at 10% p.a. for 2 years, compounded annually. (Set 67) / ₹8,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 67)

    • A. ₹1,780
    • B. ₹1,600
    • C. ₹1,580
    • 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।

  8. Compound Interest — One year amount

    8. Leena invests ₹10,000 at 7% compound interest for 1 year. Find amount. (Set 68) / Leena ने ₹10,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 68)

    • A. ₹10,800
    • B. ₹10,700 (Correct)
    • C. ₹10,000
    • 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।

  9. 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: (Set 69) / ₹14,000 पर 11% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 69)

    • A. ₹219.40
    • B. ₹119.40
    • C. ₹3,080
    • D. ₹169.40 (Correct)

    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।

  10. Compound Interest — Amount compound annually

    10. A sum of ₹8,000 is compounded annually at 20% for 2 years. Find the amount. (Set 70) / ₹8,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 70)

    • A. ₹11,320
    • B. ₹11,720
    • C. ₹11,200
    • D. ₹11,520 (Correct)

    Explanation: Amount = 8000×1.2^2 = ₹11,520. / राशि = 8000×1.2^2 = ₹11,520।

  11. Compound Interest — Half-yearly compounding

    11. Find CI on ₹13,000 for 1 year at 10% p.a. compounded half-yearly. (Set 71) / ₹13,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 71)

    • A. ₹1,300
    • B. ₹1,332.50 (Correct)
    • C. ₹1,282.50
    • D. ₹1,382.50

    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।

  12. 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? (Set 72) / ₹9,000 पर 7% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 72)

    • A. ₹1,260
    • B. ₹1,224.10
    • C. ₹1,384.10
    • 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।

  13. Compound Interest — CI two years

    13. Find compound interest on ₹6,000 at 10% p.a. for 2 years, compounded annually. (Set 73) / ₹6,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 73)

    • A. ₹1,160
    • B. ₹1,200
    • C. ₹1,260 (Correct)
    • D. ₹1,360

    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।

  14. Compound Interest — One year amount

    14. Sonal invests ₹8,000 at 7% compound interest for 1 year. Find amount. (Set 74) / Sonal ने ₹8,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 74)

    • A. ₹8,000
    • B. ₹8,460
    • C. ₹8,660
    • 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।

  15. 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: (Set 75) / ₹10,000 पर 13% दर से 2 वर्ष के लिए चक्रवृद्धि और साधारण ब्याज का अंतर है: (सेट 75)

    • A. ₹169 (Correct)
    • B. ₹219
    • C. ₹119
    • D. ₹2,600

    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।

  16. Compound Interest — Amount compound annually

    16. A sum of ₹14,000 is compounded annually at 20% for 2 years. Find the amount. (Set 76) / ₹14,000 राशि 20% वार्षिक चक्रवृद्धि पर 2 वर्ष के लिए है। राशि ज्ञात करें। (सेट 76)

    • A. ₹20,160 (Correct)
    • B. ₹19,960
    • C. ₹19,600
    • D. ₹20,360

    Explanation: Amount = 14000×1.2^2 = ₹20,160. / राशि = 14000×1.2^2 = ₹20,160।

  17. Compound Interest — Half-yearly compounding

    17. Find CI on ₹14,000 for 1 year at 10% p.a. compounded half-yearly. (Set 77) / ₹14,000 पर 10% वार्षिक दर से 1 वर्ष का CI ज्ञात करें, जब ब्याज अर्धवार्षिक संयोजित हो। (सेट 77)

    • A. ₹1,385
    • B. ₹1,435 (Correct)
    • C. ₹1,400
    • 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।

  18. 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? (Set 78) / ₹9,000 पर 8% वार्षिक चक्रवृद्धि से 2 वर्ष बाद ब्याज कितना होगा? (सेट 78)

    • 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।

  19. Compound Interest — CI two years

    19. Find compound interest on ₹12,000 at 10% p.a. for 2 years, compounded annually. (Set 79) / ₹12,000 पर 10% वार्षिक दर से 2 वर्ष का चक्रवृद्धि ब्याज ज्ञात करें। (सेट 79)

    • A. ₹2,520 (Correct)
    • B. ₹2,620
    • C. ₹2,420
    • D. ₹2,400

    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।

  20. Compound Interest — One year amount

    20. Deepak invests ₹6,000 at 7% compound interest for 1 year. Find amount. (Set 80) / Deepak ने ₹6,000 को 7% चक्रवृद्धि ब्याज पर 1 वर्ष के लिए निवेश किया। राशि ज्ञात करें। (सेट 80)

    • A. ₹6,420 (Correct)
    • B. ₹6,320
    • C. ₹6,520
    • D. ₹6,000

    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।

  21. Compound Interest — Percentage / प्रतिशत

    21. 12% of 650 is: / 650 का 12% कितना है?

    • A. 68
    • B. 78 (Correct)
    • C. 88
    • D. 98

    Explanation: 12% = 12/100, so answer = 78. / प्रतिशत को 100 से भाग देकर मूल संख्या से गुणा करें।

  22. Compound Interest — Profit-Loss / लाभ-हानि

    22. An article bought for Rs 1050 is sold at 12.5% profit. Find SP. / Rs 1050 में खरीदी वस्तु 12.5% लाभ पर बेची गई। SP ज्ञात करें।

    • A. Rs 1141
    • B. Rs 1181 (Correct)
    • C. Rs 1221
    • D. Rs 1261

    Explanation: SP = CP x (100 + profit%)/100 = 1050 x 112.5/100 = Rs 1181. / लाभ प्रतिशत जोड़कर विक्रय मूल्य निकालें।

  23. Compound Interest — Time & Work / समय और कार्य

    23. A finishes a work in 18 days and B in 24 days. Together they finish in: / A 18 दिन और B 24 दिन में काम पूरा करते हैं। साथ में समय?

    • A. 9.3 days
    • B. 10.3 days (Correct)
    • C. 11.3 days
    • D. 12.3 days

    Explanation: Combined time = ab/(a+b) = 18 x 24 / 42 = 10.3 days. / संयुक्त कार्य में दरें जोड़ी जाती हैं।

  24. Compound Interest — Speed Conversion / चाल परिवर्तन

    24. 108 km/h equals: / 108 किमी/घंटा बराबर है:

    • A. 27 m/s
    • B. 30 m/s (Correct)
    • C. 33 m/s
    • D. 35 m/s

    Explanation: km/h to m/s conversion uses x 5/18. 108 x 5/18 = 30. / किमी/घंटा को मी/से में बदलने के लिए 5/18 से गुणा करें।

  25. Compound Interest — Simplification / सरलीकरण

    25. Simplify: 18 x 13 + 18 - 13. / सरल करें: 18 x 13 + 18 - 13.

    • A. 231
    • B. 239 (Correct)
    • C. 247
    • D. 255

    Explanation: Apply BODMAS: 234 + 18 - 13 = 239. / पहले गुणा, फिर जोड़-घटाव करें।