Compound Interest Compounded Annually
Compound Interest Compounded Annually
Definition: Compound interest is calculated as a percentage as a total amount a the end of the previous compounding period.
Formula:
First Type: 
,
where 
= Future Value
= Present Value or Original Amount
= Annual Interest Rate as a Decimal
= multiplier
n = number of years of investment
Illustration: What will Rs 5000 invested at 8% p.a compound interest amount to after 2 years ?
Solution : An interest rate of 8% indicates that i = 0.08.
For 2 years , n = 2 and so = Rs 5000
= Rs 5832
Second Type:
To find interest only, we use
Compound interest = -
Illustration: How much interest is earned according to the above example1 .
Solution : interest earned = $ 5832 - $ 5000 = $ 832
now , To Find Compound Interest (CI) when Interest is Compounded Annually:
In such cases where interest is compounded yearly, the interest accrued during the first year is added to the principal and the amount so obtained becomes the principal for the second year. The amount at the end of the second year becomes the principal for the third year, and so on.
Illustration: Find the compound interest on Rs 25000 for 3 years at 6% per annum, compounded annually.
Solution: Principal for the first year = Rs. 25000.
Amount at the end of the first year = 25000 + 1500 = Rs 26500.
Principal for the second year = Rs. 26500.
Amount at the end of the second year = Rs 26500 + 1590 = Rs 28090.
Principal for the third year = Rs 28090.
Amount at the end of the third year = 28090 + 1685.40 = Rs 29775.40.
Therefore, compound interest = 29775.40 - 25000 = Rs 4775.40.
Compound Interest By Formula:
For the above example:
Principal = 25000
Rate= 6%
time= 3 years
Therefore, compound interest = 29775.40 - 25000 = Rs 4775.40.
Find the compound interest when Principal = Rs 3000, Rate = 5 % per annum and time = 2 years | |||
| Right Option : C | |||
| View Explanation | |||
Find the difference between compound interest and simple interest on a sum of Rs.25000 for 3 years at the rate of 4% per annum . | |||
| Right Option : A | |||
| View Explanation | |||
Find the compound interest on Rs 10000 for 3 years at 6% per annum, compounded annually. | |||
| Right Option : A | |||
| View Explanation | |||
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One of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
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10thMy experience with Abhyas academy is very nice or it can be said wonderful. I have been studying here from seven class. I have been completing my journey of three years. I am tinking that I should join Abhyas Academy in tenth class as I am seeing much improvement in Maths and English
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