P = Rs.12,600; R = 10%; n = 2 years Show A = P\([1\,+\,\frac R{100}]^n\) = 12600 \([1\,+\,\frac {10}{100}]^2\) = 12600\([1\,+\,\frac 1{10}]^2\) = 12600 x \(\frac{11}{10}\) x \(\frac{11}{10}\) = 126 x 121 A = Rs.15246 ∴ Compound Interest = Amount – Principal = 15,246 – 12,600 ∴ C.I. = Rs.2646 /- Find compound interest on Rs 12600 for 2 years at 10% p.a. compounded annually. 152 Views Kamala borrowed Rs 26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan? (Hint: Find A for 2 years with interest is compounded yearly and then find SI an the 2nd year for 4/12 tears.) Here, we shall calculate the amount for 2 years using the CI formula. Then this amount will become the principal for next 4 months, i.e. 4/12 years. 119 Views Calculate the amount and compound interest on: (a) Rs 10,800 for 3 years at 121/2 % per annum compounded annually. (b) Rs 18,000 for 21/2 years at 10% per annum compounded annually. (c) Rs 62,500 for 11/2 years at 8% per annum compounded half yearly (d) Rs 8,000 for 1 year at 9% per annum compounded half yearly. (You could use the year by year calculation using SI formula to verify.) (e) Rs 10,000 for 1 year at 8% per annum compounded half yearly. 1355 Views Find the buying price of each of the following when 5% ST is added on the purchase of (a) A towel at Rs 50 (b) Two bars of soap at Rs 35 each (c) 5 kg of flour at Rs 15 per kg 925 Views A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.(Hint: Find CP of each.) 192 Views A shopkeeper bought two TV sets at Rs 10,000 each. He sold one at a profit 10% and the other at a loss of 10%. Find whether he made an overall profit or loss. 1238 Views Sum Find CI on Rs. 12600 for 2 years at 10% per annum compounded annually. Advertisement Remove all ads SolutionWe have, A = P`(1 + R/100)^n`, where Principal (P) = ₹ 12600, Rate (R) = 10, Number of years (n) = 2 = ₹ 12600`(1 + 10/100)^2` = ₹ 12600`(11/10)^2` = ₹ `12600 xx 11/10 xx 11/10` = ₹ 15246. CI = A - P = ₹ 15246 - ₹ 12600 = ₹ 2646. Concept: Deducing a Formula for Compound Interest Is there an error in this question or solution? Advertisement Remove all ads Video TutorialsVIEW ALL [1]
Advertisement Remove all ads Free History of Indian Constitution 15 Questions 15 Marks 9 Mins Given: The principle = 12600 The rate = 10% per annum The time = 2 years Formula used: Compound interest = \(P\ \times [{(1\ +\ {R\over 100})}^T -\ 1]\) (Where P = Principle, R = The rate and T = Time) Calculation: Let us assume CI is the compound interest ⇒ \(CI\ =\ 12600\ \times [{(1\ +\ {10\over 100})}^2 -\ 1]\) ⇒ \(CI\ =\ 12600\ \times [{({110\over 100})}^2 -\ 1]\) ⇒ \(CI\ =\ 12600\ \times [{( {1.21})} -\ 1]\) ⇒ \(CI\ =\ 12600\ \times 0.21\) ⇒ 2646 ∴ The required result will be 2646. Latest MP Police Constable Updates Last updated on Sep 22, 2022 The Madhya Pradesh Police has released the revised schedule for the Preliminary Eligibility Test (PET) of the Madhya Pradesh Police Constable exam on 20th May 2022. The exam was cancelled in view of the extreme heatwave conditions in Madhya Pradesh. The PET is now scheduled for 6 June onwards. A total of 4000 vacancies are to be filled by the MP Police Constable Recruitment 2022. The candidates should go through the MP Police Constable Syllabus and Exam Pattern to have an idea of the requirements of the exam. Let's discuss the concepts related to Interest and Compound Interest. Explore more from Quantitative Aptitude here. Learn now! What is the compound interest on a sum of 12600?∴ The compound interest incurred is Rs. 4171.
How do I calculate my CI for 2 years?Given:. Formula Used:. C.I = P[{1 + (R/100)}T - 1]. Calculation:. C.I = 5000[{1 + (20/100)}2 - 1]. ⇒ 5000[{1 + (1/5)}2 - 1]. ⇒ 5000[(6/5)2 - 1]. ∴ The compound interest is Rs. 2200.. What is the difference between the compound interest on Rs 5000 for 1.5 years at 4?5000 for 1 1/2 years at 4% per annum compounded yearly and half-yearly? = Rs. 5304.
What is compound interest per annum?Correct Option: D. ⇒ R = 6% per annum.
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