9. A certain sum is invested at the rate of 10% per annum for 3 years. Write a
program to find and display the difference between Compound Interest (CT) and
Simple Interest (ST). Take the sum as an input.
ST
PRT
A = P(1+R/100) and CI= A-P
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3
Answer:
Explanation:
According to the problem,
Principal ( Sum of invest)=P
Rate of interest =r
Time =n
The difference between third year and the first year intrest
implies that,
P[(1+10/100)
3
−1]−P[(1+10/100)
1
−1]
=1105P[(11/10)
3
−1]−P[(11/10)
1
−1]
=1105P(1331/1000−1)−P(11/10−1)
=1105P(331/1000)−P(1/10)
=1105
Now take P as common and subtract the remaining part by taking LCM
So,
$$\begin{array} { P\left( { 231/1000 } \right) =1105 } \\ { P=1105*1000/231 } \\ { P=4783.55 } \end{array}$$
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