Find compound interest on the sum of rupee 3000 for 1whole 1/2 year at 8 % per annum compound yearly
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Answers
Answer:
We know the formula,
Where,
A= total amount
P= principal or amount of money deposited,
r= annual interest rate
n= number of times compounded per year
t= time in years
Given:
P= Rs. 3000,r=8%,n=4 and t=2 years
A=3000(1+
4
0.08
)
4×2
A=3000×1.02
8
A=3000×1.171659
A= Rs. 3514.98
To find interest we use formula A=P+I, since A=3514.98 and P=3000, we have:
A=P+I
⇒3514.98=3000+I
⇒I=3514.98−3000=514.98
Interest, I= Rs. 514.98
Hope it helps you ✌️
Step-by-step explanation:
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Step-by-step explanation:
Given:-
the sum of rupee 3000 for 1whole 1/2 year at
8 % per annum compound yearly .
To find:-
Find compound interest .
Using formula:-
If Principle P , Number of times compound interest to be calculated n, Rate of interest R then the compound Amount=P(1+R/100)^n
Solution:-
Principle amount=(P)=Rs. 3000
Rate of interest (R)=8%
Compound interest is calculated annually
Time(T)=1 1/2 year
Now we know that
A=3000(1+8/100)(1+(1/2)8/100)
=>A=3000(108/100)(1+4/100)
=>A=3000(27/25)(26/25)
=>A=(3000×27×26)/(25×25)
=>A=120×27×26/25
=>A=24×27×26/5
=>A=16848/5
=>A=3369.6
Amount =Rs. 3369.6
Compound Interest=Amount-Principle
=>CI=3369.6-3000
=>CI=Rs. 369.6
Answer:-
The Compound Interest for the given problem is Rs. 369.6