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30 Apr 2016, 11:52
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (02:25) correct
30%
(02:38)
wrong
based on 396
sessions
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Not Attempted Yet
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
A. 39X/200
B. 25X.50
C. 19.5X/200
D. 35X/250
E. 90X/200
09 Oct 2017, 16:54
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gonebada93
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
Answer: A
General Discussion
30 Apr 2016, 21:05
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gonebada93
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
