Compound Interest Test 17

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Compound Interest Test 17

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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25 min

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+1 / -0.25

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Compound Interest | 25 questions

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Preview all 25 questions in Compound Interest Test 17 (no login required)

Compound Interest — Successive CI rates
1. A PO-level scheme compounds ₹31,000 at 8%, 10% and 12% in three successive years. Find total CI. / PO-स्तर की योजना में ₹31,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें।
- A. ₹9,747.36
- B. ₹10,247.36 (Correct)
- C. ₹9,300
- D. ₹10,747.36
Explanation: CI = 31000×1.08×1.10×1.12 − 31000 = ₹10,247.36. / CI = 31000×1.08×1.10×1.12 − 31000 = ₹10,247.36।
Compound Interest — CI-SI three years
2. For 3 years at 12% p.a., find CI−SI on ₹27,000. / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें।
- A. ₹1,313.06
- B. ₹1,113.06
- C. ₹1,213.06 (Correct)
- D. ₹388.80
Explanation: CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06. / CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06।
Compound Interest — Quarterly two years
3. Find CI on ₹21,000 for 2 years at 16% p.a. compounded quarterly. / ₹21,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो।
- A. ₹8,039.95
- B. ₹6,720
- C. ₹7,439.95
- D. ₹7,739.95 (Correct)
Explanation: Quarterly rate = 4%, periods = 8. CI = 21000[(1.04)^8−1] = ₹7,739.95. / त्रैमासिक दर = 4%, अवधियाँ = 8। CI = 21000[(1.04)^8−1] = ₹7,739.95।
Compound Interest — Compound growth and fall
4. A fund grows by 20% in each of first two years but falls by 10% in the third year. If initial value is ₹36,000, find net gain/loss. / एक फंड पहले दो वर्षों में प्रत्येक वर्ष 20% बढ़ता है लेकिन तीसरे वर्ष 10% घटता है। प्रारंभिक मूल्य ₹36,000 है। शुद्ध लाभ/हानि ज्ञात करें।
- A. ₹10,656 (Correct)
- B. ₹10,456
- C. ₹10,856
- D. ₹46,656
Explanation: Final value = 36000×1.2×1.2×0.9 = ₹46,656; net gain = ₹10,656. / अंतिम मूल्य = 36000×1.2×1.2×0.9 = ₹46,656; शुद्ध लाभ = ₹10,656।
Compound Interest — CI plus bonus
5. A fixed deposit of ₹29,000 compounds at 10% for 2 years and then gets a bonus of ₹750. Find final amount. / ₹29,000 की FD 10% पर 2 वर्ष चक्रवृद्धि से बढ़ती है और फिर ₹750 बोनस मिलता है। अंतिम राशि ज्ञात करें।
- A. ₹35,540
- B. ₹35,840 (Correct)
- C. ₹36,140
- D. ₹35,090
Explanation: Final amount = 29000×1.1^2 + 750 = ₹35,840. / अंतिम राशि = 29000×1.1^2 + 750 = ₹35,840।
Compound Interest — CI after tax
6. A deposit of ₹41,000 earns 12% annual CI for 2 years. If 10% of interest is deducted as tax, what amount is received? / ₹41,000 जमा पर 12% वार्षिक CI 2 वर्ष के लिए मिलता है। यदि ब्याज का 10% कर कटता है, तो प्राप्त राशि कितनी होगी?
- A. ₹50,137.36
- B. ₹50,637.36
- C. ₹51,430.40
- D. ₹50,387.36 (Correct)
Explanation: CI = ₹10,430.40, tax = ₹1,043.04; received = amount − tax = ₹50,387.36. / CI = ₹10,430.40, कर = ₹1,043.04; प्राप्त राशि = राशि − कर = ₹50,387.36।
Compound Interest — Reverse principal hard
7. If the compound amount after 3 years at 10% is ₹56,240, find the principal. / यदि 10% पर 3 वर्ष बाद चक्रवृद्धि राशि ₹56,240 है, तो मूलधन ज्ञात करें।
- A. ₹43,261.54
- B. ₹43,253.94
- C. ₹41,253.94
- D. ₹42,253.94 (Correct)
Explanation: P = A/1.1^3 = ₹42,253.94. / P = A/1.1^3 = ₹42,253.94।
Compound Interest — Half-yearly hard
8. A sum is compounded half-yearly at 18% p.a. for 3 years. Find CI on ₹39,000. / ₹39,000 राशि 18% वार्षिक दर से 3 वर्ष तक अर्धवार्षिक चक्रवृद्धि पर है। CI ज्ञात करें।
- A. ₹26,406.90 (Correct)
- B. ₹25,906.90
- C. ₹21,060
- D. ₹26,906.90
Explanation: Half-yearly rate = 9%, periods = 6. CI = 39000[(1.09)^6−1] = ₹26,406.90. / अर्धवार्षिक दर = 9%, अवधियाँ = 6। CI = 39000[(1.09)^6−1] = ₹26,406.90।
Compound Interest — Successive CI rates
9. A PO-level scheme compounds ₹39,000 at 8%, 10% and 12% in three successive years. Find total CI. / PO-स्तर की योजना में ₹39,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें।
- A. ₹12,891.84 (Correct)
- B. ₹13,391.84
- C. ₹11,700
- D. ₹12,391.84
Explanation: CI = 39000×1.08×1.10×1.12 − 39000 = ₹12,891.84. / CI = 39000×1.08×1.10×1.12 − 39000 = ₹12,891.84।
Compound Interest — CI-SI three years
10. For 3 years at 12% p.a., find CI−SI on ₹27,000. (Set 330) / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें। (सेट 330)
- A. ₹1,113.06
- B. ₹1,313.06
- C. ₹388.80
- D. ₹1,213.06 (Correct)
Explanation: CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06. / CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06।
Compound Interest — Quarterly two years
11. Find CI on ₹22,000 for 2 years at 16% p.a. compounded quarterly. / ₹22,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो।
- A. ₹7,040
- B. ₹7,808.52
- C. ₹8,108.52 (Correct)
- D. ₹8,408.52
Explanation: Quarterly rate = 4%, periods = 8. CI = 22000[(1.04)^8−1] = ₹8,108.52. / त्रैमासिक दर = 4%, अवधियाँ = 8। CI = 22000[(1.04)^8−1] = ₹8,108.52।
Compound Interest — Compound growth and fall
12. A fund grows by 20% in each of first two years but falls by 10% in the third year. If initial value is ₹34,000, find net gain/loss. / एक फंड पहले दो वर्षों में प्रत्येक वर्ष 20% बढ़ता है लेकिन तीसरे वर्ष 10% घटता है। प्रारंभिक मूल्य ₹34,000 है। शुद्ध लाभ/हानि ज्ञात करें।
- A. ₹10,064 (Correct)
- B. ₹9,864
- C. ₹10,264
- D. ₹44,064
Explanation: Final value = 34000×1.2×1.2×0.9 = ₹44,064; net gain = ₹10,064. / अंतिम मूल्य = 34000×1.2×1.2×0.9 = ₹44,064; शुद्ध लाभ = ₹10,064।
Compound Interest — CI plus bonus
13. A fixed deposit of ₹31,000 compounds at 10% for 2 years and then gets a bonus of ₹750. Find final amount. / ₹31,000 की FD 10% पर 2 वर्ष चक्रवृद्धि से बढ़ती है और फिर ₹750 बोनस मिलता है। अंतिम राशि ज्ञात करें।
- A. ₹37,960
- B. ₹38,260 (Correct)
- C. ₹37,510
- D. ₹38,560
Explanation: Final amount = 31000×1.1^2 + 750 = ₹38,260. / अंतिम राशि = 31000×1.1^2 + 750 = ₹38,260।
Compound Interest — CI after tax
14. A deposit of ₹44,000 earns 12% annual CI for 2 years. If 10% of interest is deducted as tax, what amount is received? / ₹44,000 जमा पर 12% वार्षिक CI 2 वर्ष के लिए मिलता है। यदि ब्याज का 10% कर कटता है, तो प्राप्त राशि कितनी होगी?
- A. ₹54,074.24 (Correct)
- B. ₹53,824.24
- C. ₹54,324.24
- D. ₹55,193.60
Explanation: CI = ₹11,193.60, tax = ₹1,119.36; received = amount − tax = ₹54,074.24. / CI = ₹11,193.60, कर = ₹1,119.36; प्राप्त राशि = राशि − कर = ₹54,074.24।
Compound Interest — Reverse principal hard
15. If the compound amount after 3 years at 10% is ₹56,240, find the principal. (Set 335) / यदि 10% पर 3 वर्ष बाद चक्रवृद्धि राशि ₹56,240 है, तो मूलधन ज्ञात करें। (सेट 335)
- A. ₹41,253.94
- B. ₹43,261.54
- C. ₹42,253.94 (Correct)
- D. ₹43,253.94
Explanation: P = A/1.1^3 = ₹42,253.94. / P = A/1.1^3 = ₹42,253.94।
Compound Interest — Half-yearly hard
16. A sum is compounded half-yearly at 18% p.a. for 3 years. Find CI on ₹37,000. / ₹37,000 राशि 18% वार्षिक दर से 3 वर्ष तक अर्धवार्षिक चक्रवृद्धि पर है। CI ज्ञात करें।
- A. ₹19,980
- B. ₹24,552.70
- C. ₹25,552.70
- D. ₹25,052.70 (Correct)
Explanation: Half-yearly rate = 9%, periods = 6. CI = 37000[(1.09)^6−1] = ₹25,052.70. / अर्धवार्षिक दर = 9%, अवधियाँ = 6। CI = 37000[(1.09)^6−1] = ₹25,052.70।
Compound Interest — Successive CI rates
17. A PO-level scheme compounds ₹37,000 at 8%, 10% and 12% in three successive years. Find total CI. / PO-स्तर की योजना में ₹37,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें।
- A. ₹12,230.72 (Correct)
- B. ₹12,730.72
- C. ₹11,730.72
- D. ₹11,100
Explanation: CI = 37000×1.08×1.10×1.12 − 37000 = ₹12,230.72. / CI = 37000×1.08×1.10×1.12 − 37000 = ₹12,230.72।
Compound Interest — CI-SI three years
18. For 3 years at 12% p.a., find CI−SI on ₹27,000. (Set 338) / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें। (सेट 338)
- A. ₹388.80
- B. ₹1,113.06
- C. ₹1,313.06
- D. ₹1,213.06 (Correct)
Explanation: CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06. / CI−SI = ₹10,933.06−₹9,720 = ₹1,213.06।
Compound Interest — Quarterly two years
19. Find CI on ₹23,000 for 2 years at 16% p.a. compounded quarterly. / ₹23,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो।
- A. ₹8,177.09
- B. ₹8,477.09 (Correct)
- C. ₹8,777.09
- D. ₹7,360
Explanation: Quarterly rate = 4%, periods = 8. CI = 23000[(1.04)^8−1] = ₹8,477.09. / त्रैमासिक दर = 4%, अवधियाँ = 8। CI = 23000[(1.04)^8−1] = ₹8,477.09।
Compound Interest — Compound growth and fall
20. A fund grows by 20% in each of first two years but falls by 10% in the third year. If initial value is ₹32,000, find net gain/loss. / एक फंड पहले दो वर्षों में प्रत्येक वर्ष 20% बढ़ता है लेकिन तीसरे वर्ष 10% घटता है। प्रारंभिक मूल्य ₹32,000 है। शुद्ध लाभ/हानि ज्ञात करें।
- A. ₹41,472
- B. ₹9,472 (Correct)
- C. ₹9,672
- D. ₹9,272
Explanation: Final value = 32000×1.2×1.2×0.9 = ₹41,472; net gain = ₹9,472. / अंतिम मूल्य = 32000×1.2×1.2×0.9 = ₹41,472; शुद्ध लाभ = ₹9,472।
Compound Interest — Percentage / प्रतिशत
21. 15% of 775 is: / 775 का 15% कितना है?
- A. 106.25
- B. 116.25 (Correct)
- C. 126.25
- D. 136.25
Explanation: 15% = 15/100, so answer = 116.25. / 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 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. 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: 23 x 17 + 23 - 17. / सरल करें: 23 x 17 + 23 - 17.
- A. 389
- B. 397 (Correct)
- C. 405
- D. 413
Explanation: Apply BODMAS: 391 + 23 - 17 = 397. / पहले गुणा, फिर जोड़-घटाव करें।