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Moderator  Joined: 18 Apr 2015
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A certain collector [#permalink]
Expert's post 00:00

Question Stats: 60% (02:50) correct 40% (03:03) wrong based on 5 sessions
A certain collector sold $$\frac{5}{8}$$ of her paintings, including $$\frac{2}{3}$$ of her impressionist paintings. If $$\frac{3}{5}$$ of her paintings were impressionist, what fraction of the paintings that were NOT SOLD were impressionist?

A. $$\frac{1}{4}$$

B. $$\frac{3}{8}$$

C. $$\frac{2}{5}$$

D. $$\frac{8}{15}$$

E. $$\frac{5}{8}$$
[Reveal] Spoiler: OA

_________________ Director Joined: 20 Apr 2016
Posts: 826
WE: Engineering (Energy and Utilities)
Followers: 11

Kudos [?]: 603  , given: 124

Re: A certain collector [#permalink]
1
KUDOS
Carcass wrote:
A certain collector sold $$\frac{5}{8}$$ of her paintings, including $$\frac{2}{3}$$ of her impressionist paintings. If $$\frac{3}{5}$$ of her paintings were impressionist, what fraction of the paintings that were NOT SOLD were impressionist?

A. $$\frac{1}{4}$$

B. $$\frac{3}{8}$$

C. $$\frac{2}{5}$$

D. $$\frac{8}{15}$$

E. $$\frac{5}{8}$$

For easy calculation let's take the total no. of painting = 120

Now Total painting sold = $$\frac{5}{8} * 120 = 75$$

Therefore number of paintings not sold = $$120 - 75 = 45$$

Total number of impressionist painting = $$\frac{3}{5} * 120 = 72$$

Number of impressionist paintings sold = $$\frac{2}{3}* 72 = 48$$

Therefore number of impressionist paintings not sold = $$72 - 48 = 24$$

Therefore, the fraction of paintings that were not sold were impressionist = $$\frac{24}{45} = \frac{8}{15}$$
_________________

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Rules for Posting https://greprepclub.com/forum/rules-for ... -1083.html Re: A certain collector   [#permalink] 03 Aug 2018, 22:18
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