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RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound InterestQuestion 32 Compound Interest Exercise 14.2 Ramu borrowed Rs. 15625 from a finance company to buy scooter. If the rate ofinterest be 16% per annum compounded annually, what payment will he have tomake after 2 ¼ years? Answer: Given details are, Principal (p) = Rs 15625 Rate (r) = 16% Time (t) = 2 ¼ years By using the formula, A = P (1 + R/100 × 1 + R/100) = 15625 (1 + 16/100)2 × (1 + (16/4)/100) = 15625 (1 + 16/100)2 × (1 + 4/100) = 15625 (1.16)2 × (1.04) = Rs 21866 ∴ Amount after 2 ¼ years is Rs 21866
Video transcript hello students welcome to leader's question and answer classroom my name is shaista firozi class and today we are going to find out the amount for the question so let's see what the question is before we go ahead the question says ramu borrowed rupees 1 15 625 so this is a borrowing amount or you can say the principal amount from a finance company to buy scooter if the rate of interest be sixteen percent per annum so at the rate is rate is sixteen percent per annum compounded annually what payment will he have to make after two one by four years okay so we want to we want to know whether ramu borrowed the scooter sorry borrowed this much amount for to buy the scooter what amount will he pay after two one by four years so let's quickly jot down whatever details has been given to us and then we can proceed for the method so it's written principle is rupees 15625 my rate of interest is 16 percent per annum and my time is 2 1 by 4 years okay here i'm not converting this into a mixed fraction i'm directly writing this in the formula as it is let's check out the formula so my amount is equals to p one plus r upon hundred see this will become for two years so one plus one plus r upon hundred one plus r upon hundred i'm not writing anything raised to n okay and this is just for the two years now when i'll just put the values i will show you how i know my principle is one five six two five one plus my rate of interest is 16 upon hundred now since this is for two years i'm writing this year two the next one is as i know that this is for one by four years so i'm writing this four multiply by hundred what happens is four ones are four four fours are sixteen so therefore i will have one five six two five that is fifteen thousand six hundred and twenty five and this i will convert by an lcm method that is hundred i will take an lsm so hundred plus sixteen gives me hundred and sixteen upon hundred so i'll write down hundred and sixteen upon hundred raised to 2 and this part would be 1 plus 4 upon 100 okay so now what i can do is i can convert this into the decimal part so i'm writing this as 1 15 625 and this i will write down as 1.16 raised to 2 again i will take an lcm for this bracket it becomes 100 plus 1 plus 100 100 plus 4 gives you 104 so it is 104 upon 100 this becomes one thousand five hundred and fifteen thousand six hundred and twenty five into one point one six raised to two and this will become one point zero four okay now what i am going to do is i am going to calculate this whole thing that is 15 625 multiplied by 1.16 square into 1.04 and i am going to get my value of amount as rupees 21 86 so this is what my amount is now let's write down this in a statement form that is i will write down as amount after 2 1 by 4 years is rupees 21 eight hundred and sixty six so this is my answer kindly note that this is my answer hope you all have understood that's all for today see you all next time till then take care bye bye and do subscribe to lido and do comments we are waiting for your comments bye take care Was This helpful? What is the compound interest on the sum of 15625?Find the amount and the compound interest on Rs 15625 for 3 years at 12% per annum, compounded annually. Compound interest received on a sum in year is ₹ 1200 (interest is compounded annually).
What will be the compound interest on rupees 15625 for 3 years at 8% per annum if the interest is compounded annually?= 4,058. Was this answer helpful?
In what time will a sum of Rs 15625 amount to Rs 21952 at 12 pa compound interest?Time ⇒3 years.
What will be the compound interest on Rs 15625 for 3 years?15625×2825×2825×2825= Rs. 21952C.
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What is the compound interest on the sum of ₹ 15625 for 2 years at the rate of 12% per annum if the interest is 8 months is composed?
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