Question

. Find the difference between the compound interests on 5,000 for 3/2
at 4% per annum, according as the interest is paid yearly or half-yearly.
​

Answer 1

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.

hope it helps u!!

Answer 2

Answer:

Rs.2.04

Step-by-step explanation:

C.I. when interest

compounded yearly=rs.[5000*(1+4/100)(1+1/2*4/100)]

= Rs. 5304.

C.I. when interest is

compounded half-yearly=rs.5000(1+2/100)^3

= Rs. 5306.04

Difference = Rs. (5306.04 - 5304) = Rs.2.04

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