A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property?
A) She has invested $20,000 at 10% and $269,000 at 12%
B) She has invested $84,000 at 10% and $205,000 at 12%
C) She has invested $124,000 at 10% and $165,000 at 12%
D) She has invested $81,000 at 10% and $208,000 at 12%
E) She has invested $40,000 at 10% and $249,000 at 12%

Question

A woman has $289,000 invested in two rental properties. One yields 10% on the investment, and the other yields 12%. Her total income from them is $33,000. How much is her income from each property? ​
A) She has invested $20,000 at 10% and $269,000 at 12%
B) She has invested $84,000 at 10% and $205,000 at 12%
C) She has invested $124,000 at 10% and $165,000 at 12%
D) She has invested $81,000 at 10% and $208,000 at 12%
E) She has invested $40,000 at 10% and $249,000 at 12%

Quizplus · Accepted Answer

Let the amount invested at 10% be $x and at 12% be $289,000 - x. The total income is given by 0.10x + 0.12(289,000 - x) = 33,000. Solving this equation gives x = $84,000, so the amount at 12% is $289,000 - $84,000 = $205,000.

A Woman Has $289,000 Invested in Two Rental Properties