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RD Sharma Solutions Class 8 Mathematics Solutions for Compound Interest Exercise 14.2 in Chapter 14 - Compound InterestQuestion 41 Compound Interest Exercise 14.2 What will be the compound interest at the rate of 5% per annum for 3 years onthat principal which in 3 years at the rate of 5% per annum gives Rs. 1200 as simpleinterest. Answer: Given details are, Rate = 5 % per annum Simple Interest (SI) = Rs 1200 Time (t) = 3 years By using the formula, SI = (PTR)/100 P = (SI×100) / (T×R) = (1200×100) / (3×5) = 120000/15 = Rs 8000 Now, P = Rs 8000 R = 5% T = 3years By using the formula, A = P (1 + R/100)^n = 8000 (1 + 5/100)^3 = 8000 (105/100)^3 = Rs 9261 ∴ CI = Rs 9261 – 8000 = Rs 1261
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 compound interest so let's before we start with this let's see or jot down the details and before jotting down details let's see what the question says the question says what will be the compound interest so this is clear that what we are going to find out the compound interest at the rate of five percent per annum so this is our late five percent for three years so that this period is given at this time period three years on that principle which in three years at the rate of five percent per annum gives rupees 1200 so this is clear that the principal amount is 1200 as simple interest so this is 1200 as a simple interest so our simple interest is 1200 we require principle also we require the simple interest is given we require amount also to find out the compound interest so let's first write down or jot down the details given to us so it is r which is five percent at this rate for three years or you can say time period or n it is three years on that principle within three years at the rate of five percent will give you rupees 1200 as simple interest so my simple interest is rupees 12 just wait i'll just write down properly so it is rupees 12 1200 what we need to find out is compound interest and the formula for compound interest is amount minus principle now you this is clear from the uh this whatever we have written that we don't have amount we don't have principle okay so we don't have the amount also we don't have our principal also so for this we need to require to find out the amount also we need to require to find out the principle since simple interest is given we will take simple interest formula and we will find out the principle so let's first write down the formula for simple interest so i know that simple interest is nothing but principle into rate of interest into time period upon 100 so my principle i don't know so what i am going to do is i am going to transfer everything on the other side so simple interest multiply by 100 upon r into t now i will put down the values for it simple interest is 1200 in 200 upon my rate interest is 5 into time which is 3 so i get this as 4 0's upon 15 okay now on solving this i will get my principle as rupees eight thousand okay so i got my principal as rupees eight thousand now i am going to find out the amount also so let's find out the amount with its amount formula so my amount is equals to p 1 plus r upon 100 raised to n let's quickly jot down the details since we have got our principle as 8000 i'm going to put this as 8 000 1 plus my rate of interest is 5 upon 100 raised to n n which is 3 years so it is 8 000 into now i will take an lcm over here okay so i'm just taking an lcm as 100 100 plus 5 that is 105 upon 100 after taking in lcm so it becomes 105 upon 100 raised to 3. now i'll write down this three times so it becomes eight thousand in 205 in 205 in 205 upon 100 in 200 in 200 now i will do the calculation of this whole particular part by cancellations and multiplications so as you know these are two zeros four zeros and six zeros you can cancel three zeros from here and then you will just multiply eight with one zero five one zero five and one zero five and since three zeros are already cancelled from here three zeros remain and you can put the decimal point on in it so therefore i will get my answer my amount would become 9261. so this is my amount which is and sixty 9261. now i have got my amount i've got my principle let's quickly find out the compound interest so my compound interest would become i will write down the amount my amount is 9 261 minus my principal which is 8 000 okay so this is what i am just copying down from here from this formula that this compound interest is equals to amount minus principle and therefore so compound interest would be nine two six one minus eight thousand which is equals to rupees 1 2 6 1 after subtraction so i got my compound interest so please note down that this answer of the compound interest is 1261 okay hope you all have understood please subscribe to leo for more details more updates and do comment don't forget to comment see you all next time take care good bye Was This helpful? At what rate of compound interest will 1200 become Rs 1348.32 in 2 years?Then, 1200×(1+R100)2=1348.321200×(1+R100)2=1348.32%
What will be the compound interest of Rs 1200 at the rate of 5% for 2 years?∴ The compound interest is 397.2 rupees.
What will be the interest on Rs 1200 principal for 2 years at the 10% simple interest rate?CI=1,452−1,200=Rs 252.
At what rate of compound interest per annum will a sum of Rs 1200 become Rs 1323 in 2 years?r=5%.
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What will be the compound interest on a sum of Rs 1200 for 2 years at the rate of 20% per annum when the interest is compounded yearly?
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