# SOLUTION: the simple interest on a certain sum for 3 1/2 years at 7% p.a is rs.225 more that the simple interest on the same sum for 4 years at 5% p.a find the sum

Algebra ->  Algebra  -> Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: the simple interest on a certain sum for 3 1/2 years at 7% p.a is rs.225 more that the simple interest on the same sum for 4 years at 5% p.a find the sum      Log On

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 Question 522878: the simple interest on a certain sum for 3 1/2 years at 7% p.a is rs.225 more that the simple interest on the same sum for 4 years at 5% p.a find the sumAnswer by mananth(12270)   (Show Source): You can put this solution on YOUR website! let principal be x n=4 years r= 5% p.a SI= x*4*5/100 SI= x/5 II deposit Principal =x r=7 n= 3 1/2 years = 7/2 years Si= (x*7*7)/(2*100) SI=49x/200 II deposit interest -I deposit interest =225 49x/200 -x/5 =225 LCD = 200 multiply by 200 to eliminate the denominator 49x-40x=225*200 9x=225*200 x=225*200/9 x= Rs 5,000 the principal m.ananth@hotmail.ca