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One-fifth of the light switches produced by a cer tain

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One-fifth of the light switches produced by a cer tain [#permalink] New post 15 Oct 2005, 22:17
19. One-fifth of the light switches produced by a cer¬tain factory are defective. Four-fifths of the defective switches are rejected and of the nondefective switches are rejected by mistake. If all the switches not rejected are sold, what percent of the switches sold by the factory are defective?
(A) 4%
(B) 5%
(C) 6.25%
(D) 11%
(E) 16%
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 [#permalink] New post 15 Oct 2005, 22:41
Looks like something is missing in the question. Please check the following part.

Quote:
switches are rejected and of the nondefective switches are rejected by mistake


There is no fraction or part for the nondefective switches.
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 [#permalink] New post 15 Oct 2005, 22:48
For this problem, I found it easy to pick 100 as the total # switches because we are working with percents. (One useful Kaptrash strategy)

D=defective switches, R=rejected switches

.20*100=20 (D)
.80*16=4 (R)

Since the question doesn`t ask us to solve anything about the Non-Defective switches, we can stop here.

4/100=.04 or 4%

Choose A.
  [#permalink] 15 Oct 2005, 22:48
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One-fifth of the light switches produced by a cer tain

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