On what sum of money will the difference between compound interest and simple interest for 2 years be ₹ 25 if the rate of interest for both is 5% per annum?

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ML Aggarwal Solutions Class 9 Mathematics Solutions for Compound Interest Exercise 2.2 in Chapter 2 - Compound Interest

Question 28 Compound Interest Exercise 2.2

. On what sum of money will the difference between the compound interest and interest for 2 years be

equal to ₹ 25 if the rate of interest charged for both is 5% p.a.

Answer:

It is given that

Sum (P) = ₹ 100

Rate (R) = 5% p.a.

Period (n) = 2 years

We know that

SI = PRT/100

Substituting the values

= (100 × 5 × 2)/ 100

= ₹ 10

So the amount when interest is compounded annually = P (1 + R/100)

n

Substituting the values

\begin{aligned} &=100(1+5 / 100)^{2}\\ &\text { By further calculatio }\\ &=100 \times(21 / 20)^{2} \end{aligned}

So we get

= ₹ 441/4

Here

CI = A – P

Substituting the values

= 441/4 – 100

= ₹ 41/4

So the difference between CI and SI = 41/4 – 10 = ₹ ¼

If the difference is ₹ ¼ then sum = ₹ 100

If the difference is ₹ 25 then sum = (100 × 4)/ 1 × 25 = ₹ 10000

Video transcript

"hey kids welcome to lido q a video i am vinit your leader tutor bringing you this question on your screen on what sum of money friends between the compound interest and the interest for two years be equal to rupees 25 if the rate of interest charge for both is five percent per annum now the difference between the compound interest and interest for two years be equal to 25 so this means the difference between the interest for the first year and the second year is 25 percent so let us take an example to understand this let us say we you invest 10 000 rupees on the first year again the interest component is ten thousand rupees sorry thousand rupees and the principal is again ten thousand in the second year again you get thousand rupees on this 10 000 and 100 rupees on this interest right so these are the two components of compound interest interest on principle and interest on interest now this difference of 100 rupees between the interest of two consecutive year is the interest on the interest of the first year so we are going to use the same concept here right now interest on interest of first year is equal to rupees 25 right now interest on interest of first year is rupees 25 so interest of first year becomes our principle therefore interest of first year will be the principle now simple interest is equal to p rt by 100 this implies 25 is equal to p into 5 by 100 into 1 so this is 1 by 20. so this implies p is equal to 500 so this is the interest on first year now interest of first year is equal to rupees 500 therefore we can say 500 is equal to the actual sum of money into rate by 100 into 1. so this implies p is equal to 500 into 100 by 5 so this will be equal to rupees 10 000 isn't it isn't it easy guys right if you still have a doubt please leave a comment below do like the video and subscribe to our channel i'll see you in our next video until then bye guys keep learning keep flourishing and keep"

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hello everyone the questions is on what sum of money will the difference between the simple interest and compound interest for 2 years at 5% per annum will be equal to rupees 50 so here I need to find the sum of money so let's suppose that the sum of money sum of money or I can say my principal Mani my principal be X and here I have my rate is equal to 5% here my rate is equal to 5% and my time which is also mentioned by an is two years and a difference between simple interest and compound interest is 50 therefore I know the formula of compound interest that is P X 1 + R

102 foreign -3 this is my compound interest and the questions is a difference between the compound interest and simple interest while - the simple interest that is pratap128 108 difference is equal to 50 foot the values and get answer so I'll try to eat eggs as I have assume it to be X1 plus hear my are is equal to 5 EP 102 the whole part 2 as my energy equal to 2 - 6 - X into 2 into 5 100 is equal to 50 right sorry Aaj Subah 5:00 take X4 I'll get text into 1 + 5 EP

100 whole square minus 1 minus 10 100 is equal to 50 write a letter for the solvent this would 21.20 whole square minus 1 minus one upon 10 is equal to 50 that would be checked into 2174 1.400 minus 1 minus one upon 10 is equal to 50 now hear my LCM would be 400 Tirupur 404 41 - 400 - 40 is equal to 50 therefore I'll get my ex upon 400 is equal to 50 so my ex will be equal to 20,000 right therefore my

principal amount my principal amount or I can say the sum of money was equal to rupees 20000 so this is my final answer thank you

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