Compound Interest Test 19
Bilingual timed test with proper DI visuals, clean Hindi and detailed solutions.
Compound Interest Test 19
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 — Successive CI rates
1. A PO-level scheme compounds ₹31,000 at 8%, 10% and 12% in three successive years. Find total CI. (Set 361) / PO-स्तर की योजना में ₹31,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें। (सेट 361)
- A. ₹10,247.36 (Correct)
- B. ₹9,747.36
- C. ₹10,747.36
- D. ₹9,300
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. (Set 362) / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें। (सेट 362)
- A. ₹388.80
- B. ₹1,313.06
- C. ₹1,213.06 (Correct)
- D. ₹1,113.06
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 ₹26,000 for 2 years at 16% p.a. compounded quarterly. / ₹26,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो।
- A. ₹9,282.80
- B. ₹9,882.80
- C. ₹9,582.80 (Correct)
- D. ₹8,320
Explanation: Quarterly rate = 4%, periods = 8. CI = 26000[(1.04)^8−1] = ₹9,582.80. / त्रैमासिक दर = 4%, अवधियाँ = 8। CI = 26000[(1.04)^8−1] = ₹9,582.80।
- 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. (Set 364) / 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। (सेट 364)
- A. ₹10,856
- B. ₹46,656
- C. ₹10,456
- D. ₹10,656 (Correct)
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 ₹33,000 compounds at 10% for 2 years and then gets a bonus of ₹750. Find final amount. (Set 365) / ₹33,000 की FD 10% पर 2 वर्ष चक्रवृद्धि से बढ़ती है और फिर ₹750 बोनस मिलता है। अंतिम राशि ज्ञात करें। (सेट 365)
- A. ₹39,930
- B. ₹40,680 (Correct)
- C. ₹40,380
- D. ₹40,980
Explanation: Final amount = 33000×1.1^2 + 750 = ₹40,680. / अंतिम राशि = 33000×1.1^2 + 750 = ₹40,680।
- 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? (Set 366) / ₹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? (सेट 366)
- A. ₹50,637.36
- B. ₹50,137.36
- 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. (Set 367) / यदि 10% पर 3 वर्ष बाद चक्रवृद्धि राशि ₹56,240 है, तो मूलधन ज्ञात करें। (सेट 367)
- 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. (Set 368) / ₹39,000 राशि 18% वार्षिक दर से 3 वर्ष तक अर्धवार्षिक चक्रवृद्धि पर है। CI ज्ञात करें। (सेट 368)
- A. ₹21,060
- B. ₹26,406.90 (Correct)
- C. ₹26,906.90
- D. ₹25,906.90
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. (Set 369) / PO-स्तर की योजना में ₹39,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें। (सेट 369)
- A. ₹12,391.84
- B. ₹12,891.84 (Correct)
- C. ₹11,700
- D. ₹13,391.84
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 370) / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें। (सेट 370)
- A. ₹388.80
- B. ₹1,313.06
- C. ₹1,113.06
- 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
11. Find CI on ₹20,000 for 2 years at 16% p.a. compounded quarterly. / ₹20,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो।
- A. ₹7,371.38 (Correct)
- B. ₹6,400
- C. ₹7,071.38
- D. ₹7,671.38
Explanation: Quarterly rate = 4%, periods = 8. CI = 20000[(1.04)^8−1] = ₹7,371.38. / त्रैमासिक दर = 4%, अवधियाँ = 8। CI = 20000[(1.04)^8−1] = ₹7,371.38।
- 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. (Set 372) / 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। (सेट 372)
- A. ₹9,864
- B. ₹44,064
- C. ₹10,264
- D. ₹10,064 (Correct)
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 ₹29,000 compounds at 10% for 2 years and then gets a bonus of ₹750. Find final amount. (Set 373) / ₹29,000 की FD 10% पर 2 वर्ष चक्रवृद्धि से बढ़ती है और फिर ₹750 बोनस मिलता है। अंतिम राशि ज्ञात करें। (सेट 373)
- A. ₹35,090
- B. ₹36,140
- C. ₹35,540
- D. ₹35,840 (Correct)
Explanation: Final amount = 29000×1.1^2 + 750 = ₹35,840. / अंतिम राशि = 29000×1.1^2 + 750 = ₹35,840।
- 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? (Set 374) / ₹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? (सेट 374)
- A. ₹55,193.60
- B. ₹53,824.24
- C. ₹54,074.24 (Correct)
- D. ₹54,324.24
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 375) / यदि 10% पर 3 वर्ष बाद चक्रवृद्धि राशि ₹56,240 है, तो मूलधन ज्ञात करें। (सेट 375)
- A. ₹41,253.94
- B. ₹42,253.94 (Correct)
- C. ₹43,261.54
- 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. (Set 376) / ₹37,000 राशि 18% वार्षिक दर से 3 वर्ष तक अर्धवार्षिक चक्रवृद्धि पर है। CI ज्ञात करें। (सेट 376)
- A. ₹25,052.70 (Correct)
- B. ₹25,552.70
- C. ₹19,980
- D. ₹24,552.70
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. (Set 377) / PO-स्तर की योजना में ₹37,000 पर तीन क्रमिक वर्षों में 8%, 10% और 12% चक्रवृद्धि लगती है। कुल CI ज्ञात करें। (सेट 377)
- A. ₹11,730.72
- B. ₹12,230.72 (Correct)
- C. ₹12,730.72
- 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 378) / ₹27,000 पर 12% वार्षिक दर से 3 वर्ष के लिए CI−SI ज्ञात करें। (सेट 378)
- 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 ₹21,000 for 2 years at 16% p.a. compounded quarterly. (Set 379) / ₹21,000 पर 16% वार्षिक दर से 2 वर्ष का CI ज्ञात करें, जब ब्याज त्रैमासिक हो। (सेट 379)
- 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
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. (Set 380) / 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। (सेट 380)
- A. ₹9,472 (Correct)
- B. ₹9,672
- C. ₹9,272
- D. ₹41,472
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. 12% of 725 is: / 725 का 12% कितना है?
- A. 77
- B. 87 (Correct)
- C. 97
- D. 107
Explanation: 12% = 12/100, so answer = 87. / 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 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।
- 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: 21 x 16 + 21 - 16. / सरल करें: 21 x 16 + 21 - 16.
- A. 333
- B. 341 (Correct)
- C. 349
- D. 357
Explanation: Apply BODMAS: 336 + 21 - 16 = 341. / पहले गुणा, फिर जोड़-घटाव करें।