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Kinh Nghiệm Hướng dẫn What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? 2022Bùi Thị Thu Hương đang tìm kiếm từ khóa What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? được Cập Nhật vào lúc : 2022-10-14 14:20:19 . Với phương châm chia sẻ Bí kíp về trong nội dung bài viết một cách Chi Tiết 2022. Nếu sau khi đọc Post vẫn ko hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Admin lý giải và hướng dẫn lại nha. Directions: Kindly read the questions carefully and answer the questions given below. Nội dung chính
1 What would be the compound interest obtained on an amount of Rs. 4,800 the rate of 5 p.c.p.a after 3 years? A. Rs 623.5 B. Rs 756.5 C. Rs 817.8 D. Rs 448.7 2 The difference between compound interest and simple interest the same rate of interest R percent per annum on an amount of Rs. 15,000 for 2 years is Rs. 96. What is the value of R? A. 8% B. 10% C. 12% D. Can't be determined due to insufficient data 3 There is 60% increase in an amount in 6 years simple interest. What will be the compound interest on Rs. 12000 after 3 years the same rate of interest? A. Rs. 2160 B. Rs. 3120 C. Rs. 3972 D. Rs. 6240 4 An automobile financier claims to be lending money simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest the rate of 10%, the effective rate interest becomes A. 10.25% B. 10.5% C. 10.75% D. 11% 5 The certain sum will amount to Rs 12,100 in 2 years 10% per annum of compound interest, interest being compounded annually. The sum is A. Rs. 10,000 B. Rs. 8,000 C. Rs. 6,000 D. Rs. 12,000 6 The difference between C.I. and S.I. on Rs. 6000 for 1 year 20% per annum recorded half yearly is: A. 45 B. 55 C. 60 D. 58 7 Divide Rs. 2602 between X and Y so that the amount of X after 7 yr is equal to the amount of Y after 9 yr, the interest being compounded 4% pa. A. Rs. 1352, Rs. 1250 B. Rs. 1252, Rs. 1350 C. Rs. 1400, Rs. 1202 D. Rs. 1052, Rs. 1500 8 A man borrows Rs. 5100 to be paid back with compound interest the rate of 4% pa by the end of 2 yr in two equal yearly investments. How much will each installment be? A. ₹ 2704 B. ₹ 2800 C. ₹ 3000 D. ₹ 2500 9 Sushmita invests a certain sum of money for 3 years 10% pa simple interest rate. The SI accrued is half the CI on Rs. 10000 for 2 years 10% pa. Find the sum placed on simple interest? A. ₹ 3200 B. ₹ 3500 C. ₹ 3000 D. ₹ 1050 10 What is the CI accrued on an amount of Rs. 16000 the rate of 5% per annum the end of 2 years? A. ₹ 1640 B. ₹ 1832 C. ₹ 1540 D. ₹ 1400 Question No. 1Correct Option: BExplanation: P = 4800, T = 3 years, R = 5% By the net% effect we would calculate the effective compound rate of interest for 3 years = 15.76% (Refer to sub-details) Therefore, CI = 15.76% of 4800 CI = 15.76 × 4800 = ₹ 756.5 100 _________________________________________________________________ Sub-details: Calculation of effective compound rate of interest for 3 years will be as follows. For the first 2 years, let's apply the net% effect. Here, x = y = 5% Net% effect = x + y = xy 100 Now let's take this 10.25% as x and 5% as y for the calculation of 3rd year. = 10.25 + 5 + 10.25 × 5 = 15.25 + .51 = 15.76% 100 ________________________________________________ Traditional Method: CI = 4800 [( 1 + 5 ) 3 – 1 ] 100 Hence, option B is correct. Question No. 2Correct Option: AExplanation: Smart Approach: To solve this question, we can apply a short trick approach Sum = Difference × 1002 r2 Given, Sum (Amount) = 15000, Difference = 96, r = ? By the short trick approach, we get 15000 = 96 × 1002 ⇒ r2 = 96 × 1002 ⇒ r2 = 64 ⇒ r = 8% r2 15000 Traditional Approach: As per the information, we get the eqn. CI for 2 years – SI for 2 years = 96 [ 15000 × ( 1 + R ) 2 – 15000 ] – ( 15000 × R × 2 ) = 96 100 100 ∴ Rate = 8% Hence, option A is correct. Question No. 3Correct Option: CExplanation: Since increase in interest in 6 years = 60% Therefore, increase in interest in 1 year = 10% (Rate of interest) Now, P = 12000, T = 3 years & R = 10% p.a. By the net% effect we would calculate the effective compound rate of interest for 3 years = 33.1% (Refer to sub-details) Therefore, CI = 33.1% of 12000 CI = 33.1 × 12000 = ₹ 3972. 100 _________________________________________________________________ Sub-details: Calculation of effective compound rate of interest for 3 years will be as follows. For the first two years, let's apply the net% effect. Here, x = y = 10% Net% effect = x + y = xy 100 Now let's take this 21% as x and 10% as y for the calculation of 3rd year. = 21 + 10 + 21 × 10 = 33.1% 100 Hence, option C is correct. Question No. 4Correct Option: AExplanation: Yearly rate of interest = 10% Rate of interest charged on half yearly basis = 5% It's given that the financier charges interest on half yearly basis. Hence, he actually charges Compound Interst and not Simple Interest. Therefore, applying the net% effect formula for effective rate of compound interest for 2 half years (1 year = 2 half years), we get Net% effect = x + y + xy 100 x = y = 5% Net% effect = 5 + 5 + 5 × 5 = 10 + 0.25 = 10.25% 100 Hence, option A is correct. Question No. 5Correct Option: AExplanation: To solve this question, we can apply a net% effect formula Net% effect = x + y + xy % 100 x = y = 10% = 10 + 10 + 10 × 10 = 21% 100 Now, Amount (P + CI) = (100 + 21)% = 121% ≡ ₹ 12100 By the cross multiplication, we get x = 12100 × 100 = ₹ 10000. 121 __________________________________________________________ Traditional Method: Given, Amount = 12,100; r = 10%, t = 2 yrs Amount = P [ 1 + r ] t 100 ⇒ P = ₹ 10,000. Hence, option A is correct. Question No. 6Correct Option: CExplanation: Method I: To solve this question, we can apply a short trick approach Sum = Difference × (100)2 r2 Sum = ₹ 6000, r = 20/2 = 10% (half yearly rate of interest), Differece = ? By the short trick approach, we get ⇒ 6000 = Difference × (100)2 102 ____________________________________________________________ Method II: We can solve it by applying the net% effect formula, Rate % of SI for 1 yr (2 half years) 10% pa (rate will be halved here) = 10 × 2 = 20% Rate % of CI for 1 yr (2 half years) 10% pa (rate will be halved here as well), = 10 + 10 + 10 × 10 = 21% 100 % rate difference of CI and SI = 21% – 20 = 1% Now, 1% of 6,000 = Rs. 60. Traditional Method: S.I. for 1 year (calculated on half yearly basis) = 6000 × 10 × 2 = 1200. 100 C.I. for 1 year (calculated on half yearly basis) ⇒ 7260 – 6000 = 1260. Difference = 1260 – 1200 = Rs. 60. Hence, option C is correct. Question No. 7Correct Option: AExplanation: Let the first part = x. Then, Second part = (2602 – x) According to the question, x ( 1 + 4 ) 7 100 = (2602 – x) ( 1 + 4 ) 9 100 ⇒ 625x = (2602 – x) 676 ⇒ 625x = 2602 × 676 – 676x ⇒ 1301x = 2602 × 676 ⇒ x = 2 × 676 = 1352. Hence, option A is correct. Question No. 8Correct Option: AExplanation: Let the installments be x. Then, According to the question, From formula, A = P ( 1 + R ) n 100 ⇒ P = A ( 1 + R ) n 100 ⇒ 25x + 625x = 5100 26 676 Hence, option A is correct. Question No. 9Correct Option: BExplanation: Applyng the net% effect formula to calculate the net CI rate for 2 years, we get = 10 + 10 + 10 × 10 = 21% 100 Now, 21% of 10000 = 2100 Sum of SI is half of CI = 2100 = 1050 2 Hence, option B is correct. Question No. 10Correct Option: AExplanation: To solve this question, we can apply the net% effect formula Net% effect = x + y + xy % 100 Here, x = y = 5% (because rate of interest is same for both the years) By the net% effect, we get effective rate of interest = 5 + 5 + 5 × 5 % = 10.25% 100 Therefore, 10.25% of 16000 = 10.25 × 160 = ₹ 1640 Hence, option A is correct. What is the difference between the compound interest and simple interest on Rs 8000?Amount=P(1+r100)n=8000(1+5100)2=8000×(1+120)2=8000×(2120)2=8000×441400=20×441=8820∴CI=Amount−Principal=8820−8000=820. Q.. A person invests Rs. 5,000 for three years a certain rate of interest compounded annually. What is the difference between simple interest and compound interest on a sum of 8000 for 2 2 5 years?( 820 - 800 ) = Rs. 20. Thus, the difference between the compound interest and the simple interest is Rs. 20. What is the difference between simple interest and compound interest on a sum of 8000 for 2.4 years?Answer: The difference between the simple interest and compound interest is Rs 80 . sum of Rs 8000 lent 10% p.a. in 2 years. What is the difference between the compound interest and simple interest on Rs 8000 15% per annum for 2 years a Rs 280 B RS 100 C RS 180 D no difference?Hence, the difference between the compound interest and simple interest on Rs. 800 15% per annum for 2 years is Rs. 180. What is the compound interest of 8000?So, the compound interest on Rs 8000 20% per annum for 9 months compounded quarterly is 1261. Tải thêm tài liệu liên quan đến nội dung bài viết What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years?
Video What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? ?Bạn vừa tham khảo tài liệu Với Một số hướng dẫn một cách rõ ràng hơn về Review What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? tiên tiến nhất Pro đang tìm một số trong những Share Link Down What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? miễn phí. Thảo Luận thắc mắc về What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years?Nếu sau khi đọc nội dung bài viết What will be the difference between simple and compound interest on Rs 8000 the rate of 5 percent per annum the end of 3 years? vẫn chưa hiểu thì hoàn toàn có thể lại phản hồi ở cuối bài để Mình lý giải và hướng dẫn lại nha #difference #simple #compound #interest #rate #percent #annum #years What is the difference between compound interest and simple interest on 8000 at 15% per annum?( 820 - 800 ) = Rs. 20. Thus, the difference between the compound interest and the simple interest is Rs. 20. What is the difference between CI and SI on 8000 at 15% per annum for 2 years?The difference between CI and SI on ₹ 8000 for 2 yr is ₹ 20. What is the simple interest on Rs 8000 at 15% per annum for 2 years?11109 - 8000 = Rs. 3109. What will be the compound interest of Rs 8000 at 15% per annum compounded annually for 2 years 4 months?Compound interest = ₹ 11109 - ₹ 8000 = ₹ 3109. Q. Find compound interest on Rs. 8000 at 15% per annum for 2 years 4 months, compounded annually. What will be the difference between compound interest and simple interest on ₹ 8000 at 5% per annum for 2 years?Amount=P(1+r100)n=8000(1+5100)2=8000×(1+120)2=8000×(2120)2=8000×441400=20×441=8820∴CI=Amount−Principal=8820−8000=820.
What is the difference between simple interest and compound interest on Rs 8000 at 5% pa for 3 years?The difference of C.I and S.I on a sum at 5% per annum for 3 years is Rs. 1525.
What is the difference between compound interest and simple interest on 8000 at 15% per annum for 2 years?Detailed Solution
The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944.
What is the difference between the compound interest and the simple interest on Rs 8000 at 15% pa for 5 years?( 820 - 800 ) = Rs. 20. Thus, the difference between the compound interest and the simple interest is Rs. 20.
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