the difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 3 years is rupees 30.50 find the sum.
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The principal amount is Rs.40,000.
GIVEN: The difference between the compound interest and simple interest on a certain sum of money at 5% per annum for 3 years is rupees 30.50
TO FIND Principal amount.
SOLUTION:
As we are given,
Time is given as 3 years.
The rate of interest is 5%.
Let the Principal Amount be x.
Also,
Compound Interest = Amount - Principal
By applying the formula for both Compound Interest and Simple Interest.
Finding the difference between the types of interests.
Therefore, Solving both equations for the value of x using the method of substitution.
We get ,
x = 40,000
Therefore, The principal amount is 40,000.
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