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ICSE Class 9 Answered

Find P if C.I. - S.I. = 54.40 and time= 2 years and rate =8percent  
Asked by yashdhore47.9spicertl | 14 May, 2020, 10:33: AM
answered-by-expert Expert Answer
It is given that C.I. - S.I. = 54.40, time (n) = 2 years and rate (r) = 8%

begin mathsize 16px style straight C. straight I. equals straight P open square brackets open parentheses 1 plus straight r over 100 close parentheses to the power of straight n minus 1 close square brackets equals straight P open square brackets open parentheses 1 plus 8 over 100 close parentheses squared minus 1 close square brackets equals straight P open square brackets open parentheses 27 over 25 close parentheses squared minus 1 close square brackets equals straight P open square brackets fraction numerator 729 minus 625 over denominator 625 end fraction close square brackets equals fraction numerator 104 straight P over denominator 625 end fraction
straight S. straight I. equals fraction numerator straight P cross times 8 cross times 2 over denominator 100 end fraction equals fraction numerator 4 straight P over denominator 25 end fraction
Given comma
straight C. straight I. negative straight S. straight I. equals Rs. space 54.40
rightwards double arrow fraction numerator 104 straight P over denominator 625 end fraction minus fraction numerator 4 straight P over denominator 25 end fraction equals 54.40
rightwards double arrow fraction numerator 104 straight P minus 100 straight P over denominator 625 end fraction equals 54.40
rightwards double arrow straight P equals fraction numerator 625 cross times 54.40 over denominator 4 end fraction equals 625 cross times 13.6
rightwards double arrow straight P equals Rs. space 8500 end style
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