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RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.1 in Chapter 14 - Compound InterestQuestion 11 Compound Interest Exercise 14.1 Find the compound interest on Rs. 64000 for 1 year at the rate of 10% perannum compounded quarterly. Answer: Given details are, Principal (p) = Rs 64000 Rate (r) = 10 % = 10/4 % (for quarterly) Time = 1year = 1× 4 = 4 (for quarter in a year) By using the formula, A = P (1 + R/100)^n = 64000 (1 + 10/4×100)^4 = 64000 (410/400)^4 = Rs 70644.03 ∴ Compound Interest = A – P = Rs 70644.03 – Rs 64000 = Rs 6644.03
Video transcript "hello students welcome to lido's question and answer classroom my name is shaista ferozi class and today we are going to find out the compound interest so let's see the question first what is the question says the question says find the compound interest on rupees 64 000 so what is 64 000 over here 64 000 is the principle for one year that is the period at the rate of 10 percent per annum compounded quarterly now as you can see here that we are going to find out for quarterly okay so let's quickly jot down whatever is information is given to us and i'm going to write down so my principle is given as rupees 64 000. correct then since it is for one year i am going to write time or i can write down n also so my time or n is one year now since you can see that it is said that it is for compounded quarterly quarterly means for four months so we are going to convert this year into one year into four months okay so i am going to convert this one year for quarter which is equals to one multiply by four which is equals to four this is for quarter okay so i got my 4. now let's find out for rate uh the rate is given which is equals to r which is equals to 10 percent okay so my ten percent now again here's this rate of interest is for per annum okay it is clearly specified in the question at 10 percent per annum which we need to find it for compounding quarterly okay so i'm going to convert it for quarterly so this 10 percent will become 10 upon 4 percent okay now let's start for to find out the compound interest now as you all know the compounded plus formula compound interest is equals to amount minus principle now we know that we have principle but we don't have amount so to find out the amount first then only we can get the compound interest so i'm going to find out the amount first so let's quickly write down the formula for amount also and then we can find out the compound interest so i'm going to start with amount formula so my amount is equals to p 1 plus r upon 100 raised to n okay so my principal is 64 000 so i'm writing 64 000 into 1 plus rate of interest which is 10 upon 4 and since the formula has hundred i'm writing hundred also raised to n which is four years okay so now i am going to solve this so i get sixty four thousand one plus 10 upon 400 raised to 4 now as you can see here we are going to take an lcm over here so let's quickly take an lcm of this whole bracket part so i will get after solving the lcm i am going to get 64 000 into 410 upon 400 raised to 4 now on solving this whole bracket with 64 000 multiplying i am going to get my amount as rupees 70 600 644.03 so this is my amount so kindly note that we have got the amount which was required to find out the form uh to find out compound interest so here you can see that we have got a compound in this formula which is amount minus principle now since we have got our amount i am just going to substitute the value of amount which is 70 644.03 and minus principle my principle is 64 000 so i'm going to subtract this and after subtracting i get my value as rupees 66 sorry six thousand six hundred and forty four point zero three okay so this is what i got my component is which is sixty six thousand six 6644.03 so here we have the completed our sum this is what the answer we have got for our compound interest all right that's our answer subscribe to leo for more updates and do comment hoping to see your comments soon hope you have all understood see you all next time bye bye take care " Was This helpful?
How do you calculate compound interest in 9 months?6250 <br> The rate of compound interest is 10%. Time `=9` months` =9/12` year `=3/4` year.
What is the compound interest on 2000 for 9 months at 8% per annum being given when the interest is reckoned quarterly?∴ the compound interest is Rs. 122.
What is the compound interest 10000 at 40 percent per annum for 9 months interest compounded quarterly?=1576.25. Q. Find the compound interest on Rs.
What is the compound interest on 20000 for 9 months at the rate of 4% per annum when interest is compounded quarterly?For quarterly compounding, the interest rate is divided by 4. Compound interest = 1,218.
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Find the compound interest on a sum of Rs 6400 for 9 months at 10% per annum compounded quarterly
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