find the amount and the compound interest on 9000 for 6 months at 12% per annum compounded even two months
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Answer:
Given:
Present value =₹ 9000
Interest rate =10% per annum
Time =2 years 4 months = (2+
3
1
) years= 7/3 years
To find the amount we have the formula,
Amount (A)=P(1+(r/100))
n
where P is the present value, r is the rate of interest and n is time in years.
Now substituting the values in above formula we get,
∴A=9000(1+10/100)
2
[1+(1/3×10)/100]
⇒A=9000(1+1/10)
2
(1+1/30)
⇒A=9000(11/10)
2
(31/30)
⇒A=9000×121/100×31/30=9×121×31/3
⇒A=₹ 11253
And Compound interest =A–P
=11253–6000=₹ 2253
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