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

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Intern
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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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Director
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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, 14:24
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)...

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 $$36/60 * 100 = 60%$$

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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

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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
1
KUDOS
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 $$36/60 * 100 = 60%$$

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
_________________

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Worried About IDIOMS? Here is a Daily Practice List: https://gmatclub.com/forum/idiom-s-ydmuley-s-daily-practice-list-250731.html#p1937393

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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 2101 times ]

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Re: In a city, 40% of the people are illiterate and 60% are poor. Among   [#permalink] 18 Aug 2017, 10:31
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