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.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)   (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%

RELATED QUESTIONS

a businessman invested part of Php2,000,000 at 12% and the rest at 15%. If both... (answered by Maths68)
Bea inherited Php 250 000 from her uncle. She invested a part of it at an interest rate... (answered by ikleyn)
A man invested P140,000. Part of his capital was invested at 11% and the rest at 9%. If... (answered by Theo,greenestamps)
a) A total of $40,000 was invested, part of it at 12% interest and the remainder at 15%. (answered by greenestamps)
Mr. Flores invested Php 25,000.00 of his bonus at 16% per annum. He found another... (answered by Theo)
Part of a $8, 000 inheritance was invested at 10% interest and the rest was in- vested at (answered by stanbon)
Investment Problem A man invested Php 6,000, part of it at 3% and the rest at 4%. The... (answered by Boreal,greenestamps)
A man invested Php 6,000, part of it at 3% and the rest at 4%. The total annual income... (answered by ikleyn)
Paul and Donna Petrie invested ​$34,000, part at 2% simple interest and the rest 7% at... (answered by josgarithmetic)