Question

find the compound interest when principal Rs 2000 rate 20% per annum and time = 2 year 3 months .

Answer 1

principle =2000
rate =20%
time =2year 3 months = 27/24=9/8
si1=prt/100 = 2000×20×1/100=400
amount=2000+400=2400
si2=2400 ×20×1=480
compound=si1+si2
=2400+480
=2880
compound interest =400+480
= 880
480 is the answer.
hope it will help you.
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Answer 2

Given principal = Rs 2000

rate = 20 % , Time = 2yr 3 months

let T1=2 yr, T2 =3months = 3/12 yr =1/4yr

Find the Amount :
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Amount=P[1+(R/100)]^T1 × [1+(T2R/100)]

= 2000[(1+(20/100)]^3×[1 + 1/4×20/100)]

= 2000 ( 120/ 100)^3 × ( 105/ 100 )

= 2000× (6/5)^3 × (21/20 )

= 2000 × ( 216/ 125 ) × ( 21 /20 )

= 9072000/2500

= Rs 3628.8

amount = 3628.8

Find the compound interest :
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compound interest=amount - principal

C.I = 3628.8 - 2000 = 1628.8

therefore,

required compound interest = Rs1628.8

Answer : C.I = Rs 1628.8

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