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Before adding to her collection, Laura had 207 antique figurines store

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Status: Preparing for the GMAT
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Before adding to her collection, Laura had 207 antique figurines store [#permalink]

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New post 16 May 2017, 11:05
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  45% (medium)

Question Stats:

49% (01:11) correct 51% (01:12) wrong based on 55 sessions

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Before adding to her collection, Laura had 207 antique figurines stored in 9 boxes. After adding to her collection, she had 386 figurines in 12 boxes. What was the approximate percent increase in the average number of figurines per box?

A. 9%
B. 33%
C. 40%
D. 50%
E. 86%
[Reveal] Spoiler: OA

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Re: Before adding to her collection, Laura had 207 antique figurines store [#permalink]

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New post 16 May 2017, 13:42
average number of figurines per box before adding to her collection = 207/9 = 23
average number of figurines per box before after adding to her collection = 386/12 = 32.1

approximate percent increase in the average number of figurines per box = (32.1 - 23)*100/23

= 39.85%

Answer is C
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Re: Before adding to her collection, Laura had 207 antique figurines store [#permalink]

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New post 17 May 2017, 01:37
Average number of figurines before adding to her collection= \(\frac{207}{9}\)= 23
..............................................After ........................................= \(\frac{386}{12}\) = 32.1

Percent increase= \(\frac{Change}{Initial value}\)*100= \(\frac{32.1-23}{23}\)*100

= 39.85%

Answer: C.

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Re: Before adding to her collection, Laura had 207 antique figurines store [#permalink]

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New post 19 May 2017, 05:30
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SajjadAhmad wrote:
Before adding to her collection, Laura had 207 antique figurines stored in 9 boxes. After adding to her collection, she had 386 figurines in 12 boxes. What was the approximate percent increase in the average number of figurines per box?

A. 9%
B. 33%
C. 40%
D. 50%
E. 86%


When Laura had 207 antiques per box, her average was 207/9 = 23 antiques per box. When she added more, her new average was 386/12 = 32.16, which is about 32 per box. Let’s determine the percentage increase.

(32 - 23)/23 x 100

9/23 x 100 = 39.1 percent or about 40%.

Answer: C
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Re: Before adding to her collection, Laura had 207 antique figurines store [#permalink]

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New post 21 May 2017, 01:10
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avg before addition =\(\frac{207}{9}\) = 23

avg after addition = \(\frac{386}{12}\) = 32.1

change = \(\frac{(32 - 23 )}{23} * 100\)

=>\(\frac{9}{23} * 100\)

To simplify calculation round off numerator to 10 and denominator to 25

=> 10 / 25 * 100 = 10 * 4 = 40 (approx)

Ans: C
Re: Before adding to her collection, Laura had 207 antique figurines store   [#permalink] 21 May 2017, 01:10
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Before adding to her collection, Laura had 207 antique figurines store

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