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The original price of a car was $25,200. Because the car owner thought

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AtifS
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The original price of a car was $25,200. Because the car owner thought [#permalink] New post   Updated on: 18 Mar 2010, 11:37
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The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discount ed the price by 10%, and the car was finally sold. What price was the car sold for?

(a) $25,200
(b) $25,000
(c) $24,948
(d) $24,542
(e) $23,658


Solve with explanation.
My explanation is
Show Spoiler
The price after increasing the original price by 110%=25200*(110/100)=25200*(1.1)=27720$. Then the price after decreasing it by 10%= 27720*(1-10/100)=27720*(0.9)=24948$ the price at which car was sold
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C

Originally posted by AtifS on 09 Mar 2010, 02:07.
Last edited by AtifS on 18 Mar 2010, 11:37, edited 2 times in total.
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   09 Mar 2010, 07:24
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IMO its C

explanation:
25200 * 1.1 * 0.9 = 24948
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   09 Mar 2010, 08:57
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C it is.
110% of 25200 = 27720
10% of 27720 = 2772
Card sold at 27720 - 2772 = 24948.
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   09 Mar 2010, 10:50
I also agree. Ans: C
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   15 Mar 2010, 09:21
The car is sold for 1.1*0.9*25200
=0.99 * 25200
=(1 - 0.01) * 25200
=25200 - 252
=24948

hence C is the answer
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   15 Mar 2010, 23:00
Answer is C

110% of original price : 1.1 * 25200 = 27720
10% discount : 27720 - (0.1 * 27720) = 24948
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   18 Mar 2010, 04:50
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nsp007 wrote:
Answer is C

110% of original price : 1.1 * 25200 = 27720
10% discount : 27720 - (0.1 * 27720) = 24948


Hey always try to work with smaller numbers first.

Take the price be 100

10% increase is 110
10% discount gives 99

SO if 100 is 99

25200 would be 24948!!!

It helps a lot!!! Not so much in this question but generally always. For instance try this one....
number-system-60282.html#p701427
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   07 Nov 2015, 06:29
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AtifS wrote:
The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price. After a week, the car had not sold, so the owner then discount ed the price by 10%, and the car was finally sold. What price was the car sold for?
(a) $25,200
(b) $25,000
(c) $24,948
(d) $24,542
(e) $23,658

OA
Show Spoiler
C



First increase price by 10% and then Decrease the price by 10%

Let, First price = 100
After 10% increased, Revised Price = 110
Now, After 10% Decrease, Revised Price = 110-(10/100)*110 = 99

i.e. The resultant Price is 1% less than the first Price (100 ---turned--->99)

so $25,200 ---will Turn into---> 99% of $25,200 = (99/100)*$25200 = $24,948

Answer: option C
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   07 Nov 2015, 12:10
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AtifS wrote:
The original price of a car was $25,200. Because the car owner thought he could get more money for the car, he increased the price of the car to 110% of its original price.


Price of the car after the increase is \(25200*\frac{110}{100}\) => 2520*11

AtifS wrote:
After a week, the car had not sold, so the owner then discount ed the price by 10%, and the car was finally sold. What price was the car sold for?


Reduced price of car after the discount is - \(2520*11*\frac{90}{100}\) => 252*99 = 24948

Hence IMHO answer is (C) $24948.
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Re: The original price of a car was $25,200. Because the car owner thought [#permalink] New post   06 May 2022, 09:00
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