It is given that Show
Principal = ₹ 8000 Rate of interest = 5% p.a. We know that Interest for the first year = Prt/100 Substituting the values = (8000 × 5 × 1)/ 100 = ₹ 400 So the amount for the first year or principal for the second year = 8000 + 400 = ₹ 8400 Here Interest for the second year = (8400 × 5 × 1)/ 100 So we get = ₹ 420 We know that Amount after the second year = 8400 + 420 = ₹ 8820 Total compound interest = 8820 + 8000 = ₹ 820 Q.1.The difference in simple interest and compound interest on a certain sum of money in 2 years at 10 % p.a. is Rs. 50. The sum is a) Rs. 10000 b) Rs. 6000 c) Rs. 5000 d) Rs. 2000 e) None of these Q.2. The difference in simple interest and compound interest on a certain sum of money in 2 years at 18 % p.a. is Rs. 162. The sum is a) Rs. 4000 b) Rs. 5200 c) Rs. 4250 d) Rs. 5000 e) None of these Q.3. The compound interest on a certain sum of money for 2 years is Rs. 208 and the simple interest for the same time at the same rate is Rs. 200. Find the rate %.
a) 5 % b) 6 % c) 7 % d) 4 % e) 8 % Q.4.The difference between compound interest and simple interest on a certain sum for 2 years at 10 % is Rs. 25. The sum is a) Rs. 1200 b) Rs. 2500 c) Rs. 750 d) Rs. 1250 e) Rs. 2000 Q.5.The simple interest on a certain sum for 3 years in Rs. 225 and the compound interest on the same sum for 2 years is Rs. 165. Find the rate percent per annum. a) 20 % b) 2.5 % c) 5 % d) 15 % e) 7.5% Q.6.The simple interest on a sum of money for 2 years is Rs. 150 and the compound interest on the same sum at same rate for 2 years is Rs. 155. The rate % p.a. is a) 16 % b) 20/3 % c) 12 % d) 10 % e) None of these Q7.Mihir’s capital is 5/4 times more than Tulsi’s capital. Tulsi invested her capital at 50 % per annum for 3 years (compounded annually). At what rate % p.a. simple interest should Mihir invest his capital so that after 3 years, they both have the same amount of capital? a) 20/3 % b) 10 % c) 50/3 % d) 1.728 % e) None of these Q8.The difference in simple interest and compound interest on a certain sum of money in 3 years at 10 % p.a. is Rs. 372. The sum is a) Rs. 8000 b) Rs.9000 c) Rs. 10000 d) Rs. 12000 e) None of these Q9.Sahil’s capital is 1/6 times more than Chaya’s capital. Chaya invested her capital at 20 % per annum for 2 years (compounded annually). At what rate % p.a. simple interest should Sahil invest his capital so that after 2 years, they both have the same amount of capital? a) 10% b) 11 5/7% c) 20% d) 13 5/7% e) None of these Q10.The difference in simple interest and compound interest on a certain sum of money in 3 years at 20 % p.a. is Rs. 640. The sum is
a) Rs. 5000 b) Rs. 8500 c) Rs. 8250 d) Rs. 6000 e) None of these MohammedGuys, does anyone know the answer? get the difference between compound interest and simple interest at the same rate for 8000 from screen. Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5% per annum.Click here👆to get an answer to your question ✍️ Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5% per annum. Question Find the difference between compound interest and simple interest on Rs.8000in 2years an at 5% per annum.We have, Easy Open in App Solution Verified by Toppr P=Rs.8000,T=2 years,R=5% We know that, SI= 100 P×R×T or, SI= 100 8000×5×2 or, SI=Rs.800 We know that, A=CI+P=P(1+ 100 R ) T or, CI+8000=8000(1+ 100 5 ) 2 or, CI+8000=8000(1+ 20 1 ) 2 or, CI+8000=8000( 20 21 ) 2 or, CI+8000=8820 or, CI=Rs.820 Therefore, the required difference CI−SI=820−800 =Rs.20 Was this answer helpful? 95 25 स्रोत : www.toppr.com Given : Principal = Rs. 8000 Rate = 5% Time = 3 years Concept used : At compound interest, interest = P[1 + (R/100)]t - P Home Quantitative Aptitude Interest Simple and Compound Both QuestionDownload Solution PDF The difference between the compound interest and simple interest for 3 years at 5% per annum on 8,000 will beRs. 75 Rs. 69 Rs. 55 Rs. 61 Answer (Detailed Solution Below)Option 4 : Rs. 61 Detailed SolutionDownload Solution PDF Given : Principal = Rs. 8000 Rate = 5% Time = 3 years Concept used : At compound interest, interest = P[1 + (R/100)]t - P (where p is the principle, R is the rate of interest and t is the time period) At simple interest , interest = (P × R × T)/100 Calculations : Principle = 8000 Interest at compound interest = 8000[1 + (5/100)]3 - 8000 (time is 3 years, are of interest is 5%) ⇒ 9261 - 8000 ⇒ 1261 Now, Simple interest = (8000 × 5 × 3/)100 ⇒ 1200 Difference of compound interest and simple interest = 1261 - 1200 ⇒ 61 rupees ∴ Option 4 is the correct answer. Alternate Method Concept used: Difference of C.I. and S.I. for 3 years = P(R/100)2((300 + R)/100) Calculations: Required difference = P(R/100)2((300 + R)/100) ⇒ 8000 × (5/100)2((300 + 5)/100) ⇒ 8000 × (1/400) × (305/100) ⇒ 8000 × 1/400 × 61/20 ⇒ 61 ∴ The required difference is Rs. 61. Download Solution PDF Share on Whatsapp Stay updated with the Quantitative Aptitude questions & answers with Testbook. Know more about Interest and ace the concept of Simple and Compound Both. India’s #1 Learning Platform Start Complete Exam Preparation Daily Live MasterClasses Practice Question Bank Mock Tests & Quizzes Get Started for Free Download App Trusted by 2,69,47,637+ Students ‹‹ Previous Ques Next Ques ›› More Simple and Compound Both QuestionsQ1. The difference between the simple interest and the compound interest on a certain sum of money for 2 years at the rate of 6% per annum is Rs.28.80. Calculate the principal amount.Q2. The simple interest on a sum of Rs. 8,000 at a certain rate per cent per annum for 3 years is Rs. 3,600. What will be the amount (in Rs.) of the same sum after 2 years at the same rate, if the interest is compounded 8-monthly?Q3. Rachna borrowed Rs. 40,000 at 10% simple interest per annum. Exactly one year later she lent this amount to her friend on the same day at the same rate of interest but compounded annually. How much profit or loss will she get at the end of the third year?Q4. Find the difference between simple interest and compound interest on Rs. 2000 for 2 years at 10% per annum?Q5. The difference between the compound interest and the simple interest on a sum at 5% for 2 years is 2. Find that principal amount?Q6. Find the difference between the compound interest and the simple interest on Rs. 8,000 for 3 years at 5% interest.Q7. The difference between simple interest and compound interest on ₹ 20,000 in two years is ₹ 800. What is the annual rate of interest?Q8. A man invests Rs. 7,000 at 8% per annum simple interest for 2 years and Rs. 10,000 at compound interest at the same rate for the same period, compounded annually. What will be the total interest and the total amount (in Rs.) respectively, on maturity?Q9. Kumud borrowed some amount at simple interest of 10% per annum for 1 12 year. Sneha borrowed the same amount at the same rate on compound interest (compounded semiannually) for the same period. If Sneha paid Rs. 61 more than Kumud as interest, then how much money did each of them borrow? More Interest QuestionsQ1. In how many years will a sum of Rs 800 at 10% per annum compounded semi-annually become Rs 926.10?Q2. If a sum becomes double in 16 years at simple interest, how many times will it be in 8 years?Q3. A sum of Rs. 18600 is given at 15% per annum at simple interest, if interest is added to sum after 2 years then find the total interest after 4 years.Q4. Rs. 56000 is invested at the rate of 5% for 1st year, at 10% for 2nd year and at 15% for the 3rd year. Find the total compound interest earned in these 3 years.Q5. A invests a sum of money in simple interest at a certain rate for 6 years and B invests the same sum of money for same time but at 2% higher rate. If the difference between the simple interests for 6 years is 360 then find the sum of money invested.Q6. A sum becomes double in 4 years at compound interest, in how many years the sum becomes 8 times of itself.Q7. Find the sum if the compound interest for 3 years at the rate of 5% per annum is Rs. 1261Q8. Aman lends a sum of money to Aman at the rate of 3% for the first 2 years, 5% for the next 3 years and 7% for next 1 year. If the total simple interest for the 6 years is Rs.840, then find the sum of money.Q9. Find the sum if the amount after 2 years is Rs. 1,94,481 at the rate of 10% per annum compounded half yearly.Q10. Find the sum invested in compound interest if the amount at the end of two years and three years are Rs. 14,520 and Rs. 15,972 respectively. स्रोत : testbook.com Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum.Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum. Home > Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10 % per annum. Question Calculate the difference between the compound interest and the simple interest on Rs. 8000 in three years and at 10% per annum. Solution Principal(P)=Rs. 8000 Rate(R)=10% p.a. Period(T)=3 years ∴ S.I for 3 years= P T R 100 = 8000 × 10 × 3 100 =Rs. 2400 Now, S.I. for 1st year = R s . 8000 × 10 × 1 100 = 80 × 10 × 1 Amount for the first year=P+S.I. =Rs. 8000 + Rs. 800=Rs. 8800 Principal for the second year= Rs. 8800 Interest for the second year= 8800 × 10 × 1 100 =Rs. 880 ∴ Amount after second year= Rs. 8800 + Rs. 880 =Rs. 9680 Principal for the third year= Rs. 9680 Interest for the third year = R s . 9680 × 10 × 1 100 = R s . 968 ∴ C.I. for 3 years= Rs. 800+ Rs. 880+Rs. 968 ∴ Difference between C.I. and S.I. for 3 years =Rs. 2648-Rs. 2400 =Rs. 248 MathematicsConcise MathematicsStandard VIII Suggest Corrections 1 SIMILAR QUESTIONS Q. Find the difference between compound interest and simple interest on Rs. 8000 in 2 years an at 5 % per annum. Mathematics Q. Calculate the difference between the simple interest and the compound interest on Rs. 4 , 000 in 2 years at 8 % per annum compounded yearly. Mathematics SAME EXERCISE QUESTIONS Q. Rekha borrowed Rs. 40000 for 3 years at 10% per annum compound interest. Claculate the interest paid by her for the second year. Mathematics Q. Mr. Sharma borrowed Rs. 24000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years. Mathematics View More PEOPLE ALSO SEARCHED FOR Q. Govind borrows Rs. 18,000 at 10 % simple interest. He immediately invests the money borrowed at 10 % compound interest, compounded half-yearly. How much money does Govind gain in one year? Mathematics Q. Calculate the amount and the compound interest on Rs. 12 , 000 in 3 years when the rates of interest for successive years are 8 % , 10 % and 15 % respectively. Mathematics View More स्रोत : byjus.com What is the difference between the compound interest and simple interest on Rupees 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 the compound interest and the simple interest on 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 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 at 10% p.a. in 2 years.
What is the difference between C.I and SI on 8000 at 15% per annum for 2 years?The difference between CI and SI on Rs. 8000 for 2yr is Rs. 20.
|