Find the difference between compound interest on 8000 for 1.5 years at 10%p.a when compounded annually and semi annually 

Asked by tarthatharv | 15th Feb, 2020, 10:21: PM

Expert Answer:

begin mathsize 16px style straight P space equals space Rs. space 8000 comma space straight n space equals space 1.5 space years space comma space straight r space equals space 10 percent sign
Amount space equals space straight P space open parentheses 1 plus space straight r over 100 close parentheses open parentheses 1 plus fraction numerator straight r over denominator 2 cross times 100 end fraction close parentheses to the power of 1 half cross times 2 end exponent space equals space Rs. space 9240
Compound space Interest space left parenthesis when space compounded space annually right parenthesis equals space 9240 space minus space 8000 space equals space Rs. space 1240 space... space left parenthesis straight i right parenthesis
Amount space equals space straight P space open parentheses 1 plus space fraction numerator straight r over denominator 2 space cross times space 100 end fraction close parentheses to the power of 3 over 2 cross times 2 end exponent space equals straight P space open parentheses 1 plus space straight r over 200 close parentheses to the power of space 3 end exponent equals space Rs. space 9261
Compound space Interest space left parenthesis when space compounded space semi space annually right parenthesis equals space 9261 space minus space 8000 space equals space Rs. space 1261 space left parenthesis ii right parenthesis
Difference space equals space 1261 space minus space 1240 space equals space Rs. space 21 space... space from space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis

end style

Answered by Yasmeen Khan | 17th Feb, 2020, 10:37: AM

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