The difference between the Compound intrest and simple intrest on a certian sum for 2 years at 5% per annum is Rs.60 . find the sum
Answers
Answer:
Slight correction, you are not after a solution but the value of an expression.
To evaluate your expression, I just need to use three simple points about logarithms, namely:
log(1)=0
log(a/b)=log(a)−log(b)
logn(n)=1
The difference between the Compound intrest and simple intrest on a certian sum for 2 years at 5% per annum is Rs.60 . find the sum
Let the sum be P = Rs. 100.
time T = 2 years, rate of interest R = 5% per annum
Simple interest = PRT/100= 100×5×2/100=
Rs 10
Compound amount= P( 1+R/ 100)^T
= 100×(1+5/100)²
= 110.25
Therefore the compound interest = compound amount - principal
= 110.25 - 100
= 10.25
the difference between the compound interest and simple interest
= 10.25 - 10.00
= 0.25
if the difference between the CI and SI is Rs. 0.25 the principal = Rs. 100
if the difference between the CI and SI is Rs. 60 the principal = (100/0.25)×60
= 24000
Thus The Sum Is Rs. 25000.
hope this helps you.