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ICSE Class 9 Answered

On what sum will the difference between the simple answer compound interest for 3year at 10%p.a. Is 232.50
Asked by Expertphp7 | 30 May, 2019, 11:26: PM
Expert Answer
begin mathsize 16px style Here space straight n space equals space 3 space years space comma space straight r space equals space 10 percent sign space and space Compound space Interest space minus space Simple space Interest space equals Rs. space 232.50
Simple space Interest space equals space fraction numerator straight P space cross times straight R space cross times space straight N over denominator 100 end fraction
rightwards double arrow Simple space Interest space equals space fraction numerator 30 straight P over denominator 100 end fraction space space space..... space left parenthesis straight i right parenthesis
Compound space Interest space equals space Amount space minus space Principal
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space straight P open parentheses 1 space plus space straight r over 100 close parentheses to the power of straight n space minus space straight P
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals straight P open square brackets open parentheses 1 space plus space 10 over 100 close parentheses cubed space minus space 1 close square brackets
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space equals space fraction numerator 331 straight P over denominator 1000 end fraction space space space space space space space space space space space space space space space space space space space space space..... space left parenthesis ii right parenthesis
We space have comma
Compound space Interest space minus space Simple space Interest space equals Rs. space 232.50 space
rightwards double arrow fraction numerator 331 straight P over denominator 1000 end fraction space space minus space fraction numerator 30 straight P over denominator 100 end fraction space equals space 232.50 space space space space space space space space space space space space space space space space space space space space..... space from space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
rightwards double arrow fraction numerator 31 straight P over denominator 1000 end fraction equals space 232.50
rightwards double arrow straight P space equals space Rs. space 7500
Therefore space on space Rs. space 7500 space space the space difference space between space the space simple space answer space compound space interest space for space 3 year space at space 10 percent sign straight p. straight a. space Is space 232.50.
end style
Answered by Yasmeen Khan | 31 May, 2019, 09:55: AM

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