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If Beth spent $400 of her earnings last month on rent, how

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by BTGmoderatorDC » Tue Jun 11, 2019 9:34 pm

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If Beth spent $400 of her earnings last month on rent, how much did Beth earn last month?

(1) Beth saved 1/3 of her earnings last month and spent half of the remainder on rent.
(2) Beth earned twice as much this month as last month.

OA A

Source: Princeton Review
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Source: — Data Sufficiency |

by Jay@ManhattanReview » Tue Jun 11, 2019 9:51 pm
BTGmoderatorDC wrote:If Beth spent $400 of her earnings last month on rent, how much did Beth earn last month?

(1) Beth saved 1/3 of her earnings last month and spent half of the remainder on rent.
(2) Beth earned twice as much this month as last month.

OA A

Source: Princeton Review
Let's take each statement one by one.

(1) Beth saved 1/3 of her earnings last month and spent half of the remainder on rent.

Given Beth saved 1/3 of her earnings last month, she spent 1 - 1/3 = 2/3 of her earnings last month.

Part spent on rent = 1/2 of 2/3 = 1/3 of her earnings last month on rent

=> 1/3 of her earnings last month on rent = 400

Beth's earnings last month on rent = 3*400 = $1,200. Sufficient

(2) Beth earned twice as much this month as last month.

No relationship of earning with rent is given; we can't get the answer. insufficient.

The correct answer: A

Hope this helps!

-Jay
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