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, 17:32: PM
![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](https://images.topperlearning.com/topper/tinymce/cache/c9e9259a97f84134595ed4c887947325.png)
Answered by Arun | 15 Feb, 2019, 17:46: PM
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