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Of the paintings that a certain artist created last year, the number..

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Manager
Joined: 14 Feb 2017
Posts: 122
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26
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Of the paintings that a certain artist created last year, the number..  [#permalink]

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30 Nov 2018, 15:29
00:00

Difficulty:

25% (medium)

Question Stats:

79% (02:12) correct 21% (02:22) wrong based on 39 sessions

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Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%
Math Expert
Joined: 02 Aug 2009
Posts: 7108
Re: Of the paintings that a certain artist created last year, the number..  [#permalink]

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30 Nov 2018, 18:56
1
dcummins wrote:
Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%

You can do it in many ways..
Weighted average method
A very good and quick method if you can get hang of it..
So two percentages 48 and 30 and we are looking for final average percentage..
The ratio of U to F is 5:1 and % are 48 : 30..
As per the method.. average = 48-( $$\frac{48-30}{5+1}$$-1) = 48-3=45

You can also make equations and do it..
Let the number of framed be 100, so unframed = 500...
48% of 500 = 500*48/100=240
30% of 100 = 30
So total sold is 240+30=270..
% sold = $$\frac{270}{600}$$*100=270/6=45

E
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Of the paintings that a certain artist created last year, the number..  [#permalink]

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30 Nov 2018, 19:41
1
dcummins wrote:
Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%

Let Unframed = UF, Framed = F.
So, UF = 5 * F (as given in question)

so let F = 20, hence UF = 100 (for simplicity and faster calculation)

therefore 48% of UF = 48
30% of F = 6

so total painting sold = 48 + 6 = 54
total paintings made = 100 + 20 = 120

required percentage = painting sold/painting made
=> (54/120)*100
=> (9/20)*100
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Re: Of the paintings that a certain artist created last year, the number..  [#permalink]

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01 Dec 2018, 00:50
dcummins wrote:
Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%

let framed paintings be y and un framed be x
x=5y

let y be 20 so x 100 and total 120
48% of 100 and 30% of 20 ; 48+6 = 54 paintings were sold

54/120 *100= option E 45 %
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Joined: 09 Mar 2016
Posts: 1234
Of the paintings that a certain artist created last year, the number..  [#permalink]

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01 Dec 2018, 02:55
dcummins wrote:
Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%

unframed 100
framed 20

$$\frac{(48+6)}{120} *100% = 45%$$
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Posts: 13
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Schools: ISB '20
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Re: Of the paintings that a certain artist created last year, the number..  [#permalink]

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01 Dec 2018, 03:16
dcummins wrote:
Of the paintings that a certain artist created last year, the number of paintings that were unframed was 5 times the number of paintings that were framed. If 48 percent of the unframed paintings and 30 percent of the framed paintings were sold, what percent of the paintings that the artist created last year were sold?

A. 33%
B. 36%
C. 39%
D. 42%
E. 45%

unframed paintings are 5x/6 and framed = x/6, where x are total. sold are (5x*(0.48))/6 + x*(0.30)/6 = 0.45x = 45%
Re: Of the paintings that a certain artist created last year, the number.. &nbs [#permalink] 01 Dec 2018, 03:16
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