SOLUTION: a business man invested part of Php 2,000,000 at 12% and the rest at 15%. if both investments gave him Php250,00 per annum, how much was each investments?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: a business man invested part of Php 2,000,000 at 12% and the rest at 15%. if both investments gave him Php250,00 per annum, how much was each investments?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 551371: a business man invested part of Php 2,000,000 at 12% and the rest at 15%. if both investments gave him Php250,00 per annum, how much was each investments?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let's say he invested Php(x) at 12% and the remainder Php(2,000,000-x) at 15%. The earning from these two investments amounts to Php250,000, so we can state this as:
0.12x+0.15(2,000,000-x) = 250,000 Solve for x.
0.12x+300,000-0.15x = 250,000 Simplify.
-0.03x+300,000 = 250,000
-0.03x = -50,000
x = 1,666,666.67 and
2,000,000-x = 333,333.33
The businessman invested Php1,666,666.67 at 12% and Php333,333.33 at 15%