Question 1191856
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Given the ratio 3:5 for the amounts invested at 5% and 8%, respectively...<br>
let 3x = amount invested at 5%
let 5x = amount invested at 8%<br>
The total amount invested was 3x+5x=8x.<br>
The earnings from this investment were 5% of 3x and 8% of 5x.<br>
If he had invested the whole amount at 6.25%, the earnings would have been 6.25% of 8x.<br>
The first investment earned $200 more than the second would have:<br>
{{{.05(3x)+.08(5x) = .0625(8x)+200}}}
{{{.15x+.40x = .5x+200}}}
{{{.55x = .5x+200}}}
{{{.05x = 200}}}
{{{x = 200/.05 = 4000}}}<br>
The total invested was 8x = $32000.<br>
His earnings from this investment were<br>
{{{.05(12000)+.08(20000) = 600+1600 = 2200}}}<br>
(note that problem does not ask for that....)<br>
If he had invested the whole $32000 at 10%, his earnings would have been<br>
{{{.10(32000)}}} = $3200.<br>
ANSWER: $3200<br>