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ICSE Class 8 Answered

A sum of money lent at simple interest amounts to ₹3224 in 2 years and ₹4160 in 5 years. Find the sum  and the rate of interest. 
Asked by sharmapankaj9269 | 19 Oct, 2019, 11:35: AM
answered-by-expert Expert Answer
Simple space Interest
straight A space equals space straight P space plus space straight I
Case space 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
PR equals fraction numerator 322400 minus 100 straight P over denominator 2 end fraction... open parentheses 1 close parentheses
Case space 2
4160 space equals straight P space plus space fraction numerator straight P cross times 5 cross times straight R over denominator 100 end fraction
416000 space equals 100 straight P space plus space 5 cross times PR... open parentheses 2 close parentheses
using space open parentheses 1 close parentheses and space open parentheses 2 close parentheses
416000 space equals 100 straight P space plus space 5 cross times fraction numerator 322400 minus 100 straight P over denominator 2 end fraction
straight P space equals space 2600 comma space straight R space equals space 12 percent sign
Answered by Arun | 21 Oct, 2019, 08:38: PM

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