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# In a recent survey, 80% of the people polled were registered voters an

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Math Expert
Joined: 02 Sep 2009
Posts: 56244
In a recent survey, 80% of the people polled were registered voters an  [#permalink]

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15 Jul 2018, 08:32
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Difficulty:

25% (medium)

Question Stats:

69% (01:31) correct 31% (02:06) wrong based on 91 sessions

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In a recent survey, 80% of the people polled were registered voters and 75% of the registered voters voted in the last election. What fraction of all those surveyed were registered voters that did not vote in the last election?

A) $$\frac{1}{10}$$

B) $$\frac{1}{5}$$

C) $$\frac{1}{4}$$

D) $$\frac{3}{10}$$

E) $$\frac{1}{3}$$

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Re: In a recent survey, 80% of the people polled were registered voters an  [#permalink]

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15 Jul 2018, 09:18
+1 for B.

Suppose, there are 100 people.
Registered voters = 80% of 100 = 80
Number of people voted = 75% of 80 = 60
Number of registered people who did not vote = 80 - 60 = 20

Therefore,
= 20/100
= 1/5

Hence, B.
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Re: In a recent survey, 80% of the people polled were registered voters an  [#permalink]

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15 Jul 2018, 10:29
Bunuel wrote:
In a recent survey, 80% of the people polled were registered voters and 75% of the registered voters voted in the last election. What fraction of all those surveyed were registered voters that did not vote in the last election?

A) $$\frac{1}{10}$$

B) $$\frac{1}{5}$$

C) $$\frac{1}{4}$$

D) $$\frac{3}{10}$$

E) $$\frac{1}{3}$$

In percentage question it's better to deal with some smart numbers.

Let the no of people be 100

No. of registered voters = 100*80% = 80

No of registered voters voted in the last election = 80*75% = 60

No of registered voters didn't vote in the last election = 80-60 = 20

Required Fraction = Voters didn't vote / all those surveyed

= 20 / 100

= 1/5

Re: In a recent survey, 80% of the people polled were registered voters an   [#permalink] 15 Jul 2018, 10:29
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