Compound Interest Formula In Maths Class 8
We can also reduce the formula of compound interest of yearly compounded for quarterly as given below.
Compound interest formula in maths class 8. The formula for the compound interest is compound interest p 1 frac r n nt p this is the total compound interest which is just the interest generated minus the principal amount. Rate of interest for half year r 2. Videos 1 understanding simple interest and compound interest 2 maths how to solve simple interest problems english 3 simple and compound interest 4 compound interest introduction. Amount p i 5000 240 5240.
Rd sharma solutions for class 8 maths chapter 14 compound interest we have learnt about simple interest and the formula for calculating simple interest and amount in class 7. Iii 2 600 in 2 years 3months at 1 per month. Suppose you give 100 to a bank which pays you 10 compound interest at the end of every year. If interest is compounded half yearly then the rate of interest also needs to be divided by 2 is the given rate of interest is for per annum.
If the calculation of compound interest is not annual then the rate of interest also needs to be calculated in accordance. After one year you will have 100 10 110 and after two years you will have 110 10 121. The compound interest formula. Total 219 days frac 219 365 years.
The formula for compound interest can also be used in finding the growth rate of population rate of increase of bacteria rate of increase of land rates etc. Problems related to compound interest when rate compounded quarterly time given in years 7 min. Now in chapter 14 of class 8 we shall discuss concepts based on compound interest and its methods to calculate the compound interest. A p 1 frac frac r 4 100 4t ci a p.
Here a amount. Text interest frac p r t 100 frac 5000 times 8 times 219 100 times 365 10 times 8 times 3 240. If the borrower and the lender agree to fix up a certain interval of time say a year or a half year or a quarter of a year etc so that the amount at the end of an interval becomes the principal for the next interval then the total interest over all the interval calculated in this way is called the compound interest. Ci p 1 frac frac r 4 100 4t p.
A p 1 frac r n nt notations in compound interest formula. 8 31 29 31 30 31 30 29. Compound interest is calculated on the initial payment and also on the interest of previous periods. Learn the concepts of class 8 maths comparing quantities with videos and stories.
R rate of interest per year. Problems related to compound interest when rate compounded semi annually.