# SOLUTION: a sum of rs 2000 is split between two investments, one paying 7% interest and the other paying 8%. if the return on 8% investment exceeds that on the 7% investment by rs 40, how mu

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 Click here to see ALL problems on Linear Equations And Systems Word Problems Question 515279: a sum of rs 2000 is split between two investments, one paying 7% interest and the other paying 8%. if the return on 8% investment exceeds that on the 7% investment by rs 40, how much is invested at each rate?Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!Part I 8.00% per annum ------------- x Part II 7.00% per annum ------------ y total investment 2000 Interest----- from I = 8.00% x Interest from II= 7.00% y greater by 40 8.00% x = 7.00% y + 40 multiply by 100 8 x - -7 y = 4000 --------1 x + y = 2000 -------- 2 eliminate y Multiply 1 by 1 Multiply 2 by 7 we get 8 x - -7 y = 4000 7 x - 7 y = 14000 15 x = 18000 / 15 x= 1200 Plug the value of x in in 1 9600 -7 y = 4000 -7 y = 4000 -9600 -7 y = -5600 / -7 y= 800 Rs 1200 at 8.00% Rs 800 at 7.00% CHECK 96 = 56 + 40 m.ananth@hotmail.ca