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ICSE Class 8 Answered

Divide a sum of $13500 into two partsauch that if one part be lent at 25/3 % per annum for 2 years 9 months and the other at 15/2% per annum for 1 year 8 months the total interest received is $ 2375     Please solve it and give me the answer quickly with all the steps ASAP   
Asked by zaidking5678 | 26 Dec, 2018, 13:06: PM
answered-by-expert Expert Answer
Let P be one part and (13500 - P) be the other part.
 
we have
begin mathsize 12px style P cross times 2 3 over 4 cross times fraction numerator begin display style bevelled 25 over 3 end style over denominator 100 end fraction space plus space left parenthesis 13500 minus P right parenthesis cross times 1 2 over 3 cross times fraction numerator begin display style bevelled 15 over 2 end style over denominator 100 end fraction space equals space 2375 P cross times 11 over 4 cross times 25 over 300 space plus space left parenthesis 13500 minus P right parenthesis cross times 5 over 3 cross times 15 over 200 space equals space 2375 end style
solving the above equation for P, we get P = $6600 and other part $6900
Answered by Thiyagarajan K | 27 Dec, 2018, 15:07: PM

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