Question 1105278
<br>
Let x be the amount of the investment that earned him 8%; then the amount of the investment on which he lost 7% is ($14,000-x).<br>
Then the amount he earned is 8% of x, and the amount he lost is 7% of ($14,000-x).<br>
Since his net gain was $412,
{{{.08(x)-.07(14000-x) = 412}}}
{{{.08x+.07x-980 = 412}}}
{{{.15x = 1392}}}
{{{x = 1392/.15 = 9280}}}<br>
The amount of the investment that earned 8% was $9280; the amount of the investment that lost 7% was $14,000-$9280 = $4720.