SOLUTION: ALGEBRa.COM the amount of $300000 is divided into 3 parts in the ratio 2:5:8 and these parts are invested at 2%, 4% and 6% respectively. what is the income from the 6% investment

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: ALGEBRa.COM the amount of $300000 is divided into 3 parts in the ratio 2:5:8 and these parts are invested at 2%, 4% and 6% respectively. what is the income from the 6% investment      Log On

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Question 670566: ALGEBRa.COM the amount of $300000 is divided into 3 parts in the ratio 2:5:8 and these parts are invested at 2%, 4% and 6% respectively. what is the income from the 6% investment
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The ratio of the 1st part to the total is
+2+%2F+%28+2+%2B+5+%2B+8+%29+=+2+%2F+15+
+2+%2F+15+=+a+%2F+300000+
+a+=+%282%2F15%29%2A300000+
+a+=+20000%2A2+
+a+=+40000+
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The ratio of the 2nd part to the total is
+5+%2F+15+=+b+%2F+300000+
+b+=+%281%2F3%29%2A300000+
+b+=+100000+
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The ratio of the 3rd part to the total is
+8%2F15+=+c+%2F+300000+
+c+=+%288%2F15%29%2A300000+
+c+=+160000+
( this part is all you really needed to solve problem )
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+.02a+=+.02%2A40000+
+.02a+=+800+
and
+.04b+=+.04%2A100000+
+.04b+=+4000+
and
+.06c+=+.06%2A160000+
+.06c+=+9600+
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The income from the 6% investment is $9,600