A man has $282,000 invested in three properties. One earns 12%, one 10%, and one 8%. His annual income from the properties is $27,000 and the amount invested at 8% is twice that invested at 12%. How much is invested in each property?
A)$33,840 at 12%, $28,200 at 10%, $22,560 at 8%
B)$88,800 at 12%, $44,400 at 10%, $148,800 at 8%
C)$76,800 at 12%, $68,400 at 10%, $136,800 at 8%
D)$55,500 at 12%, $111,000 at 10%, $115,500 at 8%
E)$60,000 at 12%, $102,000 at 10%, $120,000 at 8%

Question

Quizplus · Accepted Answer

The total investment is $282,000, and the income is $27,000. Let x be the amount invested at 12%, then 2x is invested at 8%, and the rest is at 10%. Solving the equations: x + y + 2x = 282,000 and 0.12x + 0.10y + 0.08(2x) = 27,000 gives x = 60,000, y = 102,000, and 2x = 120,000.

A Man Has $282,000 Invested in Three Properties