Solution: Show
What is known: Principal, Time Period, and Rate of Interest What is unknown: Amount and Compound Interest (C.I.) Reasoning: A = P[1 + (r/100)]n P = ₹ 10,000 n = \(1{\Large\frac{1}{2}}\) years R = 10% p.a. compounded annually and half-yearly where , A = Amount, P = Principal, n = Time period and R = Rate percent For calculation of C.I. compounded half-yearly, we will take the Interest rate as 5% and n = 3 A = P[1 + (r/100)]n A = 10000[1 + (5/100)]3 A = 10000[1 + (1/20)]3 A = 10000 × (21/20)3 A = 10000 × (21/20) × (21/20) × (21/20) A = 10000 × (9261/8000) A = 5 × (9261/4) A = 11576.25 Interest earned at 10% p.a. compounded half-yearly = A - P = ₹ 11576.25 - ₹ 10000 = ₹ 1576.25 Now, let's find the interest when compounded annually at the same rate of interest. Hence, for 1 year R = 10% and n = 1 A = P[1 + (r/100)]n A = 10000[1 + (10/100)]1 A = 10000[1 + (1/10)] A = 10000 × (11/10) A = 11000 Now, for the remaining 1/2 year P = 11000, R = 5% A = P[1 + (r/100)]n A = 11000[1 + (5/100)] A = 11000[(105/100)] A = 11000 × 1.05 A = 11550 Thus, amount at the end of \(1{\Large\frac{1}{2}}\)when compounded annually = ₹ 11550 Thus, compound interest = ₹ 11550 - ₹ 10000 = ₹ 1550 Therefore, the interest will be less when compounded annually at the same rate. ☛ Check: NCERT Solutions for Class 8 Maths Chapter 8 Video Solution: Find the amount and the compound interest on ₹ 10,000 for \(1{\Large\frac{1}{2}}\) years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?NCERT Solutions Class 8 Maths Chapter 8 Exercise 8.3 Question 8 Summary: The amount and the compound interest on ₹ 10,000 for \(1{\Large\frac{1}{2}}\) years at 10% per annum, compounded half-yearly is ₹ 11576.25 and ₹ 1576.25 respectively. The interest will be less when compounded annually at the same rate. ☛ Related Questions:
Course NCERT Class 12Class 11Class 10Class 9Class 8Class 7Class 6 IIT JEE Exam JEE MAINSJEE ADVANCEDX BOARDSXII BOARDS NEET Neet Previous Year (Year Wise)Physics Previous YearChemistry Previous YearBiology Previous YearNeet All Sample PapersSample Papers BiologySample Papers PhysicsSample Papers Chemistry Download PDF's Class 12Class 11Class 10Class 9Class 8Class 7Class 6 Exam CornerOnline ClassQuizAsk Doubt on WhatsappSearch DoubtnutEnglish DictionaryToppers TalkBlogJEE Crash CourseAbout UsCareerDownloadGet AppTechnothlon-2019 Logout Login Register now for special offers +91 Home > English > Class 8 > Maths > Chapter > Comparing Quantities > Principal = Rs.10,000 ,Rate= 5... Updated On: 27-06-2022 UPLOAD PHOTO AND GET THE ANSWER NOW! Text Solution Rs.12025Rs.10025Rs.11025Rs.13025. Answer Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams. Related Videos644778461 0 41 3:19 मूलधन = ₹ 10,000, दर = 5% वार्षिक, समय = 2 वर्ष, चक्रवृद्धि ब्याज द्वारा मिश्रधन होगा : 112615128 300 9.8 K 2:34 In how many years will the principal Rs. 800 amount of Rs. 882 at the rate of compound interest of 5% per annum? 112615127 100 5.8 K 2:14 At the rate of 5% compound interest per annum, in how many years will a principal of Rs. 4000 amount to Rs. 4410? 460460280 0 5.4 K 3:32 10,000 रुपये की धनराशि चक्रवृद्धि ब्याज पर उधार दी गई। ब्याज की दर 5% वार्षिक हो, तो 3 वर्ष बाद मिश्रधन व चक्रवृद्धि ब्याज बताइये। 642590106 0 6.9 K 2:22 Find the compound interest when principal = Rs 300, rate = 5% per annum and time = 2 years. 1536496 2.5 K 8.5 K 2:06 Find the compound interest when principal = Rs 300, rate = 5% per annum and time = 2 years. Show More Comments Add a public comment... Follow Us: Popular Chapters by Class: Class 6 AlgebraBasic Geometrical IdeasData HandlingDecimalsFractions Class 7 Algebraic ExpressionsComparing QuantitiesCongruence of TrianglesData HandlingExponents and Powers Class 8 Algebraic Expressions and IdentitiesComparing QuantitiesCubes and Cube RootsData HandlingDirect and Inverse Proportions Class 9 Areas of Parallelograms and TrianglesCirclesCoordinate GeometryHerons FormulaIntroduction to Euclids Geometry Class 10 Areas Related to CirclesArithmetic ProgressionsCirclesCoordinate GeometryIntroduction to Trigonometry Class 11 Binomial TheoremComplex Numbers and Quadratic EquationsConic SectionsIntroduction to Three Dimensional GeometryLimits and Derivatives Class 12 Application of DerivativesApplication of IntegralsContinuity and DifferentiabilityDeterminantsDifferential Equations Privacy PolicyTerms And Conditions Disclosure PolicyContact Us What is the compound interest on Rs 10000 for 2 years at rate of interest 10% per annum?Compound Interest would be 12100rs.
What is the compound interest on 10000 in 2 years?∴ C.I. = ₹(10824.32 - 10000) = ₹824.32.
What will be the amount of Rs 10000 in 4 years at 5% per annum compound interest?[10000xx(11/10)^(4)]= Rs. 14641`. <br> Hence, the amount after 4 years is Rs. 14641.
What will be the CI of Rs 10000 at 5% per annum for 3 years?The answer is 1576.25!!
|