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

Question

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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rosyln · Answer

A is the correct answer.  
1. Let the original price of the 1st house be x; Karen sold the 1st house at a  25% loss , so she sold it for:
x - 0.25x = 0.75x
We know she sold it for $225,000 so: 0.75x = 225.000. Therefore, x = 300,000. So, the original price of the 1st house was $300,000.
2. Karen bought another house at a price  30% less than the original price  she paid for the 1st house, which is 300,000 - (300,000*30%) =210,000
3. Net gain = Selling price of the 1st house - Purchase price of the second house
225,000 - 210,000 =15,000.

PA0037 · Answer

1st house 
x-0.3x = 225000
x=3,00,000
therefore, loss = 25,000
2nd house 
ended up using it for 30% less than the OG price i.e. 3,00,000 ..so, 2,10,000
therefore here a gain of 90,000

Total - net gain would be 
90,000-75,000 = 15000 (a)

Ayeka · Answer

First house sold at 25% loss, 0.75x= 225,000
 X= 300,000
Second house bought at a price 30% less than original price paid for first house, so 
300,000-(300,000*0.30)= 210,000
Net gain= 225,000-210,000= 15,000/-

Answer: A

BraydinWalters · Answer

For those who prefer working with fractions:

Let x be the original price of the home.

x - 25%( 1 ) = 75%( 3 )x
 ----------- 4 -  ---------- 4

We have the price the home sold for. So:

3x  = 225000
4x

3x =  225000  *  4 
 --------- 1 -------- 3

= 300,000

Now find the price the new home was purchased for:

30000 0   *  7  = 210,000
 ---- 1 ------ 1 0

Lastly we are asked to find the net gain:

225000 - 210000
= 15000

A

Jalmagro · Answer

Easier than it looks:

Set up as 225, then form the equation:

225 = 3/4X
solve and get X = 300

Then simply take off 30% from 300 
(Hint: percentages of multiples of 10 are easy, go back one place. i.e. 10% of 225 is 22.5)

So you should get 30 * 3 for 30%, subtract from 300 - 90 = 210

225 - 210 = 15

Put back into proper thousands place, 15 to 15,000

Answer $15,000:)

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

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