res
9. At what rate per cent per annum will * 6,000
amount to * 6,615 in 2 years when interest
is compounded annually ?
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0
Answer:
5%
As it is given that the principle amount is Rs 6000, time is 2 years and Total amount is Rs 6615. Therefore, the rate of interest at which Rs 6000 will amount to Rs 6615 in 2 years is 5%.
Explanation:
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Answer:
CorrectQuesTion:
At what rate percent per annum will Rs.6000 amount to Rs.6615 in 2 years when interest is compounded annually.
Given
Principal=Rs.6000
Amount=Rs.6615
Time (n)=2 years
Find:RateofInterest:
Using formula to calculate rate
A=P(1+ 100
n
⟹6615=6000(1+r/100)²
⟹6615=6000(100+r/100)²
⟹6615/6000=(100+r/100)²
⟹√6615/6000=100+r/100
⟹81.33/77.45=100+r/100
⟹7745+77.45r=8133
⟹77.45r=8133-7745
⟹77.45r=388
⟹r=5.0%
Hence,
{The\:rate\:of\: Interest=5.0\%}}
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