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# If a population of women in a town is 90% of men . What is the populat

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If a population of women in a town is 90% of men . What is the populat  [#permalink]

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Updated on: 12 Sep 2015, 16:24
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If a population of women in a town is 90% of men . What is the population of men as a % of population of women ?

A 108 %

B 105%

C 111%

D 112%

E 114%

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Originally posted by ske on 12 Sep 2015, 13:07.
Last edited by ENGRTOMBA2018 on 12 Sep 2015, 16:24, edited 1 time in total.
Formatted the question, added the OA and renamed the topic.
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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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12 Sep 2015, 15:50
5
Hi ske,

This question can be solved by TESTing VALUES.

We're told that the number of Women in a town is equal to 90% of the number of Men in that town.

IF....
Men = 10
Women = 9

We're asked for the number of Men, as a percentage of the number of Women.

M/W = 10/9 = 1 1/9 = 1.111111 = 111%

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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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12 Sep 2015, 16:23
3
ske wrote:
kudos will given who reply in a shortest way

if a population of women in a town is 90% of men . what is the population of men as a % of population of women ?

A 108 %

B 105%

C 111%

D 112%

E 114%

Follow the posting guidelines and provide OA as well with your question.
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If a population of women in a town is 90% of men . What is the populat  [#permalink]

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07 Jul 2017, 13:35
1
ske wrote:
If a population of women in a town is 90% of men . What is the population of men as a % of population of women ?

A 108 %

B 105%

C 111%

D 112%

E 114%

I like at EMPOWERgmatRichC 's method better, but algebraically:

W = .9M

W = $$\frac{9}{10}$$M

$$\frac{10}{9}$$W = M

$$\frac{10}{9} = \frac{M}{W}$$

Men as a percentage of women = $$\frac{M}{W}$$ x 100 -->

$$\frac{M}{W}= \frac{10}{9}$$ = 1.11 x 100 = 111%

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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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08 Jul 2017, 02:28
W=9/10 of m
M=10/9 w
Hence 111%
C

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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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08 Jul 2017, 02:50
ske wrote:
If a population of women in a town is 90% of men . What is the population of men as a % of population of women ?

A 108 %

B 105%

C 111%

D 112%

E 114%

Let the population of Men $$= 100$$

Population of Women is $$90$$% of Men $$= 90$$% of $$100 = \frac{90}{100} * 100 = 90$$

Required Percentage $$=$$ (Population of Men) $$/$$ (Population of Women) $$* 100$$

Required Percentage $$= \frac{100}{90} * 100 = 111.111$$% $$=>Approximately =>$$ $$111$$%

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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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08 Jul 2017, 03:55
1
Let M = 100, W = 90.
100 = x%(90)
x% = 100/90 = ~111%. Ans - C.
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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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08 Jul 2017, 05:02
W = .9M
.9M + M = 1
1.9M = 1
M = 1/1.9

Assume population =190
M = 1/1.9 * 190 = 100
W = 90

M/W = 100/90 = 111%
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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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14 Jul 2017, 09:46
4
hi ske it can be like this
W=9/10 of m
M=10/9 w
Hence 111%
C
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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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14 Jul 2017, 09:53
2
10 men 9 women hence 10/9 which will be 1.11 hence C

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Re: If a population of women in a town is 90% of men . What is the populat  [#permalink]

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19 Jul 2018, 16:02
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Re: If a population of women in a town is 90% of men . What is the populat   [#permalink] 19 Jul 2018, 16:02
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