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At the beginning of the year, an item had a price of A. At the end of

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At the beginning of the year, an item had a price of A. At the end of  [#permalink]

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New post 02 Mar 2017, 10:45
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Difficulty:

  55% (hard)

Question Stats:

73% (01:43) correct 27% (02:19) wrong based on 165 sessions

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At the beginning of the year, an item had a price of A. At the end of January, the price was increased by 60%. At the end of February, the new price was decreased by 60%. At the end of March, the new price was increased by 60%. At the end of April, the new price was decreased by 60%. On May 1st, the final price was approximately what percent of A?

(A) 41%
(B) 64%
(C) 100%
(D) 136%
(E) 159%


This is one of a set of 15 challenging GMAT Quant problems. For the whole collection, as well as the OE for this particular question, see:
Challenging GMAT Math Practice Questions

Mike :-)

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Re: At the beginning of the year, an item had a price of A. At the end of  [#permalink]

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New post 02 Mar 2017, 11:13
The original price was (A)
Increased by 60% then it becomes 1.6(A)
Decreased by 40% then it becomes 0.4*1.6(A)
Again increase by 60% then it becomes 1.6^2 * 0.4 * (A)
Again decrease of 60% means final price is 1.6^2 * 0.4^2 * (A)
==> (1.6* 0.4)^2 *(A)
==> .4096 (A)
.4096 is approximately equal to .41
Hence , 41 % is the right answer.

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Re: At the beginning of the year, an item had a price of A. At the end of  [#permalink]

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New post 02 Mar 2017, 11:25
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mikemcgarry wrote:
At the beginning of the year, an item had a price of A. At the end of January, the price was increased by 60%. At the end of February, the new price was decreased by 60%. At the end of March, the new price was increased by 60%. At the end of April, the new price was decreased by 60%. On May 1st, the final price was approximately what percent of A?

(A) 41%
(B) 64%
(C) 100%
(D) 136%
(E) 159%


This is one of a set of 15 challenging GMAT Quant problems. For the whole collection, as well as the OE for this particular question, see:
Challenging GMAT Math Practice Questions

Mike :-)



Let the initial price be 100
at the end of april = 100* (160/100)(40/100)(160/100)(40/100)
=16^3/100
thus A% of 100 = 16^3/100
A =~41%

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Re: At the beginning of the year, an item had a price of A. At the end of  [#permalink]

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New post 02 Mar 2017, 11:33
mikemcgarry wrote:
At the beginning of the year, an item had a price of A. At the end of January, the price was increased by 60%. At the end of February, the new price was decreased by 60%. At the end of March, the new price was increased by 60%. At the end of April, the new price was decreased by 60%. On May 1st, the final price was approximately what percent of A?

(A) 41%
(B) 64%
(C) 100%
(D) 136%
(E) 159%


Price in the beginning of the year = 100

Price in January end is = 160 ( 160% of 100 )
Price in February end is = 64 ( 40% of 160 )
Price in March end is = 102.4 ( 160% of 64 )
Price in April end is = 40.96 ( 40% of 102.4 )

Thus, in May ( beginning ) price of the item was 41% of the Price in the beginning of the year , so answer must be (A)

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Re: At the beginning of the year, an item had a price of A. At the end of  [#permalink]

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New post 22 Nov 2018, 13:08
mikemcgarry wrote:
At the beginning of the year, an item had a price of A. At the end of January, the price was increased by 60%. At the end of February, the new price was decreased by 60%. At the end of March, the new price was increased by 60%. At the end of April, the new price was decreased by 60%. On May 1st, the final price was approximately what percent of A?

(A) 41%
(B) 64%
(C) 100%
(D) 136%
(E) 159%


This is one of a set of 15 challenging GMAT Quant problems. For the whole collection, as well as the OE for this particular question, see:
Challenging GMAT Math Practice Questions

Mike :-)


Let the price at the beginning of the year be $100

The changes are:

100 + 60% = 160
160 - 60% = 64
64 + 60% = 64 x 1.6 = 102.4

102.4 / 100 = 102.4%

C is the closest choice.
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Re: At the beginning of the year, an item had a price of A. At the end of &nbs [#permalink] 22 Nov 2018, 13:08
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