Tracey sold her house for 40 percent more than the amount that she bou

Question

Tough and Tricky questions: Percents.

Tracey sold her house for 40 percent more than the amount that she bought it for. If she has to pay a brokerage fee of 5 percent of the selling price of the home, and then has to pay 40 percent of the leftover profit in taxes, what is the net after-tax percent profit Tracey makes on the sale?

A. 12%
B. 14.4%
C. 16%
D. 19.8%
E. 21%

Kudos for a correct  solution .

adithps · Accepted Answer

Lets assume Cost price is 100. Then the selling price will be 1.4*100= 140.
5% brokerage fee= 5% of 140 = 7
After brokerage amount left is 140-7=133.
Next, taxes are 40% of left over profit which is 40% of (133-100)=40% of 33 which is 19.8.
Hence answer is D.

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Please give kudos if you feel the answer is right

littlewarthog · Answer

The tricky part in this question is to see which numbers the percentage are referring to. Since we are asked about the percent profit, we don't need to use any absolute values in our calculation.

We start with the 40% That Tracey makes on the sales of the house. The 40% profit refers to the original house price, but the agent fee refers to the final sales price. As the sales price is 40% higher than the original purchase price, we need to convert the 5% fee into percent of the original price. For that, we can pick numbers. We assume that the original price was 100. The sales price them was 140, as it is 40% higher. The 5% agent fee of a final sales price of 140 is 7. After paying the agent, Tracey is therefore left with 133, or 33% of the original price.

Of that 33%, she then needs to pay 40% tax. We can directly calculate what is left for Tracey after the tax, 60% of her 33% pre-tax profit.

\frac{33}{100}*\frac{6}{10}=\frac{198}{1000}=19.8%

Answer D.

g106 · Answer

Sale price =140% of the original price
Brokerage = 5% of the sale price = 140*.05 = 7% of sale price

Remaining amount in hand = 133% of original price

Profit before tax = 33%

tax = Profit before tax * 40/100
 = 33*.4 = 13.2%

Profit after tax = 33-13.2 = 19.8%

Ans D

PareshGmat · Answer

Answer = D. 19.8%

Initial cost = 100

Selling price = 140

Brokerage  = \frac{140*5}{100} = 7

Selling price less brokerage = 140-7 = 133

40% tax on profit  = \frac{33*40}{100} = 13.2

Net profit = 33 - 13.2 = 19.8

Bunuel · Answer

OFFICIAL SOLUTION:

(D) If Tracey sells her house for 40% more than what she bought it for, and then pays 5% of the selling price in brokerage fees, she will have paid 5% of 140% of what they bought the house for.

So her brokerage fees are 0.05 × 1.4 = .07, or 7% of what she paid for the house. She will have a before tax profit of 33%.

Tracey now has to pay 40% of the 33% profit in taxes, which means she gets to keep 60% of the 33%:0.6(.33) = 0.198.

Tracey made a profit of 19.8% on the house.

The correct answer is choice (D).

Avinashs87 · Answer

Assume that the house was bought for $ 100. Further calculations will lead you to answer D.

jasimuddin · Answer

buying price=100
profit=40
selling price=140
profit after paying brokerage fee=40-5%of 140=33
profit after paying tax=33*3/5=19.8 (60%=3/5)

ans:D

bumpbot · Answer

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Tracey sold her house for 40 percent more than the amount that she bou

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