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Step-by-step explanation:
Given:-
A sum of Rs.30,000 for a period of 2 years and the compound interest calculated annually at the rate of 6%.
To find:-
Calculate the interest and the total amount?
Answer:-
Principle(P)=Rs.30,000
Time (T)=2 years
If the compound interest calculated annually ,then for two years =2 times
n=2
Rate of interest (R)=6%
we know that
A=P[1+(R/100)]^n
=>A=30000[1+(6/100)]²
=>A=30000[(100+6)/100]²
=>A=30000[106/100]²
=>A=(30000×106×106)/(100×100)
=>A=3×106×106
=>A=33,708
Amount=Rs.33,708
As we know
Interest=Amount-Principle
=>I=33708-30000
=>I=3,708
Interest=Rs.3,708
Answer:-
Compound Interest=Rs. 3,708
Total amount=Rs. 33,708
Used formulae:-
- Amount A=P[1+(R/100)]^n
- Amount=Principle+ Interest
- Interest=Amount - Principle
Here, P=Principle
R=Rate of interest
n=number of times the compound interest is calculated
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