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# In a city, 40% of the people are illiterate and 60% are poor. Among th

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Math Expert
Joined: 02 Sep 2009
Posts: 56226
In a city, 40% of the people are illiterate and 60% are poor. Among th  [#permalink]

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17 Jun 2019, 00:13
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93% (01:41) correct 7% (01:47) wrong based on 14 sessions

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In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A. 36
B. 60
C. 40
D. 50
E. 44

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Re: In a city, 40% of the people are illiterate and 60% are poor. Among th  [#permalink]

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17 Jun 2019, 09:23
Bunuel wrote:
In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A. 36
B. 60
C. 40
D. 50
E. 44

2x2 matrix
------rich---poor--total
ill----4------36---40
not ill--36----24--60
total---40----60---100
IMO A ;percentage of the illiterate poor population is 36%
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Re: In a city, 40% of the people are illiterate and 60% are poor. Among th  [#permalink]

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17 Jun 2019, 09:38
A) percentage illiterate among rich = 4%
Toltal illiterate =40%
Therefore poor illiterate =40-4=36%

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Joined: 03 Apr 2018
Posts: 13
Re: In a city, 40% of the people are illiterate and 60% are poor. Among th  [#permalink]

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17 Jun 2019, 10:24
1
If we take the total population of the city to be 100, then

Total number of illiterate people = 40 % of 100 = 40

Total number of poor people = 60% of 100 = 60. So, remaining should be rich people => 100 - 60 => 40

10 % of Rich People are illiterate => 10 % of 40 => 4

Out of 40 Illiterates, 4 are rich, so 36 should be poor.

Question asks for percentage of illiterate poor people => 36%
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Re: In a city, 40% of the people are illiterate and 60% are poor. Among th  [#permalink]

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19 Jun 2019, 18:43
1
Bunuel wrote:
In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A. 36
B. 60
C. 40
D. 50
E. 44

If we let the total number of people = 200, then 80 are illiterate and 120 are poor, so 80 people are rich. Since 10 percent of the rich are illiterate, 8 rich are illiterate. Thus, 72 or 72/200 = 36/100 = 36% of the population is illiterate poor.

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Re: In a city, 40% of the people are illiterate and 60% are poor. Among th   [#permalink] 19 Jun 2019, 18:43
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