calculate the compound interest at 8% p. a., compounded half-yearly, on Rs 3000 for 3/2 years
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Step-by-step explanation:
We know the formula,
A=P(1+ r/n)^n.t
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+0.08/4)^4×2
A= 30001.02^8
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
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