Question 997721: Ms.Vangie Dimaano wishes to realize a return of 12% on her total investments. If she has P40,000 invested at 10%, then how much additional money should she invest at 14%?
Found 2 solutions by lwsshak3, ikleyn:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Ms.Vangie Dimaano wishes to realize a return of 12% on her total investments. If she has P40,000 invested at 10%, then how much additional money should she invest at 14%?
let x=additional money invested at 14%
10%*40000+14%x=12%(40000+x)
1000+.14x=4800+.12x
.02x=3800
x=190,000
how much additional money should she invest at 14%?190,000
Answer by ikleyn(53937)  (Show Source):
You can put this solution on YOUR website! .
Ms.Vangie Dimaano wishes to realize a return of 12% on her total investments.
If she has P40,000 invested at 10%, then how much additional money should she invest at 14%?
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Calculations in the post by @lwsshak3 are fatally incorrect and lead to wrong answer.
For correct solution see what follows in my post.
let x=additional money invested at 14%
0.1*40000 + 0.14x = 0.12*(40000+x)
4000 + 0.14x = 4800 + 0.12x
0.02x = 800
x = 800/0.02 = 80000/2 = 40000.
how much additional money should she invest at 14% ? P40,000. ANSWER
Solved correctly to teach you in a right way.
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Since 12% is midway between 10% and 14%, this answer is intuitively obvious
without any calculations, so the problem can be easily solved/answered MENTALLY.
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