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The selling price of a house was decreased by 12 percent to
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03 Apr 2017, 03:57
03 Apr 2017, 03:57
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Question Stats:
85% (00:50) correct
14% (01:23) wrong based on 107 sessions
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The selling price of a house was decreased by 12 percent to $220,000. What was the original selling price of the house?
A. $193,600
B. $196,429
C. $221,200
D. $246,400
E. $250,000
A. $193,600
B. $196,429
C. $221,200
D. $246,400
E. $250,000
Drill 3
Question: 13
Page: 320
Question: 13
Page: 320
Re: The selling price of a house was decreased by 12 percent to
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17 Apr 2017, 09:48
17 Apr 2017, 09:48
1
Expert Reply
Explanation
Let x = original selling price of the house
The selling price of a house was decreased by 12 percent to $220,000
If the price is decreased by 12%, then the new price is 88% of the original price.
So, we can write: 88% of the original price = $220,000
Or we can write: 0.88x = 220,000
TWO OPTIONS FROM HERE
Approach #1:
0.88x = 220,000
So x = 220,000/0.88 = $250,000
Approach #2:
Recognize that 0.88 = 88/100 = 22/25
So, our equation can be rewritten as (22/25)x = 220,000
Multiply both sides by 25/22 to get: (25/22)(22/25)x = 220,000(25/22)
Evaluate: x = 250,000
Hence option E is correct!
Let x = original selling price of the house
The selling price of a house was decreased by 12 percent to $220,000
If the price is decreased by 12%, then the new price is 88% of the original price.
So, we can write: 88% of the original price = $220,000
Or we can write: 0.88x = 220,000
TWO OPTIONS FROM HERE
Approach #1:
0.88x = 220,000
So x = 220,000/0.88 = $250,000
Approach #2:
Recognize that 0.88 = 88/100 = 22/25
So, our equation can be rewritten as (22/25)x = 220,000
Multiply both sides by 25/22 to get: (25/22)(22/25)x = 220,000(25/22)
Evaluate: x = 250,000
Hence option E is correct!
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Re: The selling price of a house was decreased by 12 percent to
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18 Apr 2017, 17:44
18 Apr 2017, 17:44
sandy wrote:
The selling price of a house was decreased by 12 percent to $220,000. What was the original selling price of the house?
A. $193,600
B. $196,429
C. $221,200
D. $246,400
E. $250,000
A. $193,600
B. $196,429
C. $221,200
D. $246,400
E. $250,000
If the DECREASED PRICE is $220,000, then the ORIGINAL PRICE must be greater than $220,000
ELIMINATE A and B
Since answer choice C ($221,200) is so close to $220,000, we can probably ELIMINATE C as well.
This leaves D and E.
Since E ($250,000) is so nice to work with, let's TEST this answer choice
12% of $250,000 = $30,000
So, the price AFTER a 12% decrease = $250,000 - $30,000 = $220,000
Voila!
Answer:
Show: ::
E
Cheers,
Brent
