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# In a recent tender, X people participated. 35% of the X people, who ma

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Intern
Joined: 15 Apr 2016
Posts: 3
In a recent tender, X people participated. 35% of the X people, who ma [#permalink]

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30 Apr 2016, 11:52
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Question Stats:

61% (02:03) correct 39% (02:11) wrong based on 80 sessions

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In a recent tender, X people participated. 35% of the X people, who made an offer won the specific tender they participated in. 70% of the rest, were disappointed from the result of the tender. Which of the following expressions represents the number of people who weren’t disappointed although they didn’t win the tender?

A. 39X/200
B. 25X.50
C. 19.5X/200
D. 35X/250
E. 90X/200
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Aug 2009
Posts: 5777
Re: In a recent tender, X people participated. 35% of the X people, who ma [#permalink]

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30 Apr 2016, 21:05
3
KUDOS
Expert's post
In a recent tender, X people participated. 35% of the X people, who made an offer won the
specific tender they participated in. 70% of the rest, were disappointed from the result of
the tender. Which of the following expressions represents the number of people who
weren’t disappointed although they didn’t win the tender?

1. 39X/200
2. 25X.50
3. 19.5X/200
4. 35X/250
5. 90X/200

Don't have the answer and not sure about the source as I got this from my friend.

hi,
the total number is X..
35% won so .35X are OUT..
70% of remaining .65X were disappointed, so 30% of .65X were not disappointed = $$\frac{30}{100}*.65X = \frac{19.5X}{100} = \frac{39X}{200}$$
ans A..
you can also substitute value of X as 100 and then work out..
30% of .65X means 30/100*.65*100 = 19.5..

check choices..
ONLY 1 and 3 are in that format..
1. $$\frac{39x}{200} = \frac{39*100}{200} = 19.5$$ .. YES
3. $$\frac{19.5X}{200}= \frac{19.5*100}{200} =\frac{19.5}{2}$$ .. NO
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Re: In a recent tender, X people participated. 35% of the X people, who ma [#permalink]

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09 Oct 2017, 16:54
2
KUDOS
Expert's post
In a recent tender, X people participated. 35% of the X people, who made an offer won the specific tender they participated in. 70% of the rest, were disappointed from the result of the tender. Which of the following expressions represents the number of people who weren’t disappointed although they didn’t win the tender?

A. 39X/200
B. 25X.50
C. 19.5X/200
D. 35X/250
E. 90X/200

Since 35% of the X people won the tender, 65% of the X people, or 0.65X people, didn’t win the tender. Of the 0.65X people who didn’t win the tender, 70% of them were disappointed; thus, 30% of them were not. That is, 0.3(0.65X) = 0.195X people were not disappointed that they didn’t win the tender. Now let’s convert this to a fraction:

0.195X = 195X/1000 = 39X/200

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Re: In a recent tender, X people participated. 35% of the X people, who ma   [#permalink] 09 Oct 2017, 16:54
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