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Karen sold her house at a loss of 25 percent of the price that she

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Karen sold her house at a loss of 25 percent of the price that she  [#permalink]

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New post 11 Aug 2019, 18:19
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Karen sold her house at a loss of 25 percent of the price that she originally paid for the house, and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions?

(A) $15,000

(B) $25,000

(C) $60,000

(D) $75,000

(E) $90,000
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Re: Karen sold her house at a loss of 25 percent of the price that she  [#permalink]

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New post 11 Aug 2019, 18:25
3X/4=225000$
X=300000$
0.7×300000=210000$
225000-210000=15000$
Option A

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Re: Karen sold her house at a loss of 25 percent of the price that she  [#permalink]

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New post 12 Aug 2019, 20:49
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Mahmoudfawzy83 wrote:
Karen sold her house at a loss of 25 percent of the price that she originally paid for the house, and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions?

(A) $15,000

(B) $25,000

(C) $60,000

(D) $75,000

(E) $90,000



SP = 0.75*CP of 1st house.
&
CP of new house = 0.7*CP of 1st house
It is then given that SP = 225,000
Therefore,
CP of 1st house = 225,000/0.75 = 300,000
Now,
CP of new house = 0.7* 300,000 = 210,000

Net gain = SP of 1st house - CP of 2nd house = 225,000 - 210,000 = 15,000 [A]
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Re: Karen sold her house at a loss of 25 percent of the price that she  [#permalink]

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New post 14 Aug 2019, 16:44
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Mahmoudfawzy83 wrote:
Karen sold her house at a loss of 25 percent of the price that she originally paid for the house, and then bought another house at a price of 30 percent less than the price she originally paid for her first house. If she sold the first house for $225,000, what was her net gain, in dollars, for the two transactions?

(A) $15,000

(B) $25,000

(C) $60,000

(D) $75,000

(E) $90,000


We can use the following equation to determine the cost of Karen’s house:

0.75n = 225,000

n = 300,000

She bought her new house for 0.7 x 300,000 = $210,000

Thus, her net gain was $15,000.

Answer: A
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Re: Karen sold her house at a loss of 25 percent of the price that she   [#permalink] 14 Aug 2019, 16:44

Karen sold her house at a loss of 25 percent of the price that she

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