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ICSE Class 8 Answered

a sum of money lent at simple interest amounts to 3224 in 2 years and 4180 in 5 years . find the sum and rate of interest
Asked by banikaurgulati10 | 15 Feb, 2019, 05:32: PM
answered-by-expert Expert Answer
straight I subscript 1 equals PNR over 100 equals fraction numerator straight P cross times 2 cross times straight R over denominator 100 end fraction..... left parenthesis 1 right parenthesis straight I subscript 2 equals PNR over 100 equals fraction numerator straight P cross times 5 cross times straight R over denominator 100 end fraction..... left parenthesis 2 right parenthesis 3224 space equals space straight P space plus space straight I subscript 1 3224 space equals straight P space plus space fraction numerator straight P cross times 2 cross times straight R over denominator 100 end fraction fraction numerator 3224 over denominator open parentheses 1 plus fraction numerator 2 cross times straight R over denominator 100 end fraction close parentheses end fraction equals straight P.... left parenthesis 3 right parenthesis 4180 space equals straight P space plus space fraction numerator straight P cross times 5 cross times straight R over denominator 100 end fraction fraction numerator 4180 over denominator open parentheses 1 plus fraction numerator 5 cross times straight R over denominator 100 end fraction close parentheses end fraction equals straight P.... left parenthesis 4 right parenthesis from space left parenthesis 3 right parenthesis space and space left parenthesis 4 right parenthesis fraction numerator 4180 over denominator open parentheses 1 plus fraction numerator 5 cross times straight R over denominator 100 end fraction close parentheses end fraction equals fraction numerator 3224 over denominator open parentheses 1 plus fraction numerator 2 cross times straight R over denominator 100 end fraction close parentheses end fraction straight R equals 12.32 percent sign straight P equals Rs. space 2586.65
Answered by Arun | 15 Feb, 2019, 05:46: PM

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