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In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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23 Jun 2017, 14:06
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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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In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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Updated on: 23 Jun 2017, 14:48
aveek86 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 Let Total number of people \(= 100\)
Total poor people = 60% of 100 \(= \frac{60}{100} * 100 = 60\)
Therefore rich people = 40% of 100 \(= \frac{40}{100} * 100 = 40\)
Total illiterate people = 40% of total people \(= \frac{40}{100} * 100 = 40\)
Among rich, 10% are illiterate = 10% of 40 \(= \frac{10}{100} * 40 = 4\)
Number of the illiterate poor population \(= 40  4 = 36\).
Therefore; illiterate poor \(= 36\), total population \(= 100\).
Required percentage \(= \frac{36}{100} * 100 = 36%.\) Answer (A)...
Originally posted by sashiim20 on 23 Jun 2017, 14:24.
Last edited by sashiim20 on 23 Jun 2017, 14:48, edited 2 times in total.



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Re: In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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23 Jun 2017, 14:31
sashiim20 wrote: aveek86 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 Let Total number of people \(= 100\)
Total poor people = 60% of 100 \(= \frac{60}{100} * 100 = 60\)
Therefore rich people = 40% of 100 \(= \frac{40}{100} * 100 = 40\)
Total illiterate people = 40% of total people \(= \frac{40}{100} * 100 = 40\)
Among rich, 10% are illiterate = 10% of 40 \(= \frac{10}{100} * 40 = 4\)
Percentage of the illiterate poor population \(= 40  4 = 36\). Answer (A)...
Helllo sashiim20, Dont you think the answer should be B  60%? I agree with your calculations upto the number 36, which is number of illiterate poor people. However, we are looking for % and not number, so in this case 36 is illeterate and total poor population is 60. Hence, the % would be \(36/60 * 100 = 60%\) I am doing something wrong here? Please advise
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Re: In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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23 Jun 2017, 14:40
Lets assume their are 200 people in the city Illiterate = 80 Poor = 120 Rich = 80 Rich and illiterate = 8 Poor and illiterate = 72 Poor is still 120 % of illiterate poor population 72/200 = 36% A Sent from my iPhone using GMAT Club Forum
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In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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23 Jun 2017, 14:41
ydmuley wrote: sashiim20 wrote: aveek86 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 Let Total number of people \(= 100\)
Total poor people = 60% of 100 \(= \frac{60}{100} * 100 = 60\)
Therefore rich people = 40% of 100 \(= \frac{40}{100} * 100 = 40\)
Total illiterate people = 40% of total people \(= \frac{40}{100} * 100 = 40\)
Among rich, 10% are illiterate = 10% of 40 \(= \frac{10}{100} * 40 = 4\)
Percentage of the illiterate poor population \(= 40  4 = 36\). Answer (A)...
Helllo sashiim20, Dont you think the answer should be B  60%? I agree with your calculations upto the number 36, which is number of illiterate poor people. However, we are looking for % and not number, so in this case 36 is illeterate and total poor population is 60. Hence, the % would be \(36/60 * 100 = 60%\) I am doing something wrong here? Please advise Hi ydmuley, According to question which i understand its asking illiterate poor population from total population. Therefore; illiterate poor = 36, total population = 100. Required percentage \(= \frac{36}{100} * 100 = 36%.\) Answer (A) . Updated the percentage fraction in my previous post. . Hope its clear now.



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In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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23 Jun 2017, 14:47
Completely makes sense now  Thank you sashiim20
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Re: In a city, 40% of the people are illiterate and 60% are poor. Among [#permalink]
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18 Aug 2017, 10:31
For Questions such as this, I follow advice from MGMAT  make a double matrix and since question involves Percentage, pick 100 as the total. With Practice, its fast and accurate. Attached in the Double Matrix for this question. Blue = Given. Orange = Calculated. Green = Required answer Required answer = 36. Option A.
Attachments
GMC_Double Matrix.png [ 21.12 KiB  Viewed 8615 times ]
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