find the difference between the compound interest on 5004 11 whole 1 by 2 years at 4% and according as the interest is paid yearly on half yearly
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What is the difference between the compound interests on Rs. 5000 for 1
2
1
years at 4% per annum compounded yearly and half-yearly ?
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Correct option is
A
Rs. 2.04
C.I yearly
Principal=5000 Rs.
Time =1.5 years
Interest rate=4 %
Amount=5000(1+
100
4
)(1+
100
2
)
⇒5000×
100
104
×
100
102
⇒5304Rs.
Then C.I=5304−5000=304Rs.
C.I.half yearly
Principal=5000 Rs
Time=1.5 years=3 quarter
Rate =4%
Amount=5000(1+
100
2
)(1+
100
2
)(1+
100
2
)
⇒5000×
100
102
×
100
102
100
102
⇒5306.40
Then C.I=5306.40−5000=306.04
Diference between C.I.=306.04−304=2.04Rs.
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