50% of the country's population work in Information Technology.

Answer: Both of the statements are sufficient individually

The solution is attached herewith.

50% of the country's population work in Information Technology. If 20% of the population who do not work in Information Technology are Women, what percent of the country's population are men?
(1) 50% of the country's Male population work in Information Technology.
(2) 20% of the country's population who work in Information Technology are Women.

Given, 50% of country population= work in IT ( Men & Women)
which means 50% of country population= do not work in IT (Men & Women)

20% population who do not work in IT are Women = 10% of country's population are women (how?? = 20% of 50% of population)
so 40% of population not working in IT are Men

Question is percent of country's population being men??

Option A: 50% of the country's Male population work in Information Technology
from premise 40% of population not working in IT are Men and it represents 50% of country's Male population as Option A says that they work in IT
So Option A means 80% of country's population are Men
Sufficient

Option B: 20% of the country's population who work in Information Technology are Women.
which means 20% of (50% of country population) = 10% of country's population
so Men are 40% of country's population working in IT
total Men= 80 % of country's population (40% not working iT and 40% working in IT)
Sufficient

option D is the answer

given chart

| Male | female|
---------------------
IT | | | 50
------------------------
N-IT | 40 | 10 | 50
-------------------------
Total| | | 100

using 1
50 % male population work in IT means 40 does not work

and 50% non working = 40 thus
new chart will be


| Male | female|
---------------------
IT | 40 | 10 | 50
------------------------
N-IT | 40 | 10 | 50
-------------------------
Total| 80 | 20 | 100

sufficient

2) new information
20% women work in I.T
10 work in IT
hence 40 are men
fill in again

| Male | female|
---------------------
IT | 40 | 10 | 50
------------------------
N-IT | 40 | 10 | 50
-------------------------
Total| 80 | 20 | 100


sufficient

hence D

APPROACH

Given:
1) Country's Population in IT: 50% of Total, Hence Non - IT is other 50% of Total.
- Assume Total Population as 100, So IT and Non-IT Population becomes 50 each.
2) 20% of the population who do not work in Information Technology are Women.
- 20% of 50(Non-IT) are Women = 10
- Now, population on Men in Non-IT : 50 - 10 = 40

S1:50% of the country's Male population work in Information Technology.
We already have the following:
- Men (Non-IT): 40
- Women (Non-IT): 10
- Since 50% of Total Male population is in IT, means other 50% is in Non-IT
- Hence we get: Men (IT): 40
- Total Men Population percentage of country: 80% .......Sufficient


S2:20% of the country's population who work in Information Technology are Women.
We already have the following:
- Men (Non-IT): 40
- Women (Non-IT): 10
- 20% of 50(IT population) are women: 10
- So we get other 100-40-10-10 = 40 Men(IT)
- Total Men Population percentage of country: 80% .......Sufficient

Each Statement is sufficient to get us the answer.
IMO Option D!

when population is 100;
population in IT = 50; men =x; women =y
Population in non IT = 50; men = 40, women = 10

To find: x

(1) 50% of the country's Male population work in Information Technology
0.5(40+x) = x
x = 40. Sufficient

(2) 20% of the country's population who work in Information Technology are Women
y = 10, x = 40
Sufficient

D is correct

Answer : D


Solution in the picture below.

--> Let's say that the total country's population =100 people
50 people -IT
50 people - not IT. --> 20% of 50 people(not IT) =10 women(not IT) and 40 men(not IT).

--> \(\frac{Men}{( 50(IT)+ 50(not IT))}\)= ???

(Statement1): 50% of the country's Male population work in Information Technology.
--> that means that the other 50% of Country's Male population do not work in IT, and they are 40 men.
--> 50% of the country's Male population work in IT = 40 men too.
40+40 =80 men
\(\frac{80}{(50+50)}= 0.8\)
80% of the country's population are men.
Sufficient

(Statement2): 20% of the country's population who work in Information Technology are Women.
--> \((\frac{20}{100})*50\) (IT)= 10 women (IT), and 40 men(IT)
40+40= 80 men
\(\frac{80}{(50+50)}= 0.8\)

--> 80% of the country's population are men
Sufficient

The answer is D.

given
---m--w---total
IT-- -- ----50
NIT--40--10--50
total-- -- --100
#1
50% of the country's Male population work in Information Technology.
---m--w---total
IT-- .5x -- ----50
NIT--40--10--50
total-- x --100-x --100
.5x=40
x= 80
sufficient
#2
20% of the country's population who work in Information Technology are Women.
---m--w---total
IT-- 40 -- 10 ----50
NIT--40--10--50
total-- 80 -- 20 --100

sufficient
IMO D

50% of the country's population work in Information Technology. If 20% of the population who do not work in Information Technology are Women, what percent of the country's population are men?
(1) 50% of the country's Male population work in Information Technology.
(2) 20% of the country's population who work in Information Technology are Women.

Ans is D
Both statements are Sufficient to ans the Question Stem.
80% are men

If we consider total population as 100x
we are given the below information---
In IT - No. of people : 50x
Men in IT
Women in IT

In Non- IT - No. of people : 50x
Men in Non-IT=40x
Women in Non-IT=10x

St-1 says that 50% of male population work in IT = 50% of male population work in non-IT
Statement 1 alone can be used

St-2 gives us the number of women in IT
We can determine the number of men in IT
St-2 alone can also be used

Answer is D

50% of the country's population work in Information Technology. If 20% of the population who do not work in Information Technology are Women, what percent of the country's population are men?
(1) 50% of the country's Male population work in Information Technology.
(2) 20% of the country's population who work in Information Technology are Women.

Let's assume, total country's population is P and country's population working in IT firms is P/2 whereas country's population not working in IT firms= 1-P/2 = P/2,
20% of the population who do not work in Information Technology are Women means 1/5*P/2, i.e. P/10 are women of the total population. So, the male of the population who do not work in Information Technology = 2P/5.
Refer the attachment for details.

Ans. is B

D is the one that meets

50% of the country's population work in Information Technology. If 20% of the population who do not work in Information Technology are Women, what percent of the country's population are men?
(1) 50% of the country's Male population work in Information Technology.
(2) 20% of the country's population who work in Information Technology are Women.

Answer: D
Solution:
IT = work in Information Technology
!IT = not work in Information Technology
Given below: Need to find out m?
-----|-----|-----|-----|
-----| IT |!IT | total|
-----|-----|-----|-----|
M---|--x--|--40--|-m?-|
W---|--x--|-10*--|-----| * 20% of the population who do not work in Information Technology are Women
-----|-50-|-50--|-100-|
-----|-----|-----|-----|

(1) sufficient
-----|-----|-----|-----|
-----| IT |!IT | total|
-----|-----|-----|-----|
M---|-m/2-|--40--|-m?-|
W---|--x--|-10--|-----|
-----|-50-|-50--|-100-|
-----|-----|-----|-----|
=>
-----|-----|-----|-----|
-----| IT |!IT | total|
-----|-----|-----|-----|
M---|-40-|--40--|-80*-| * => (m/2)+40 = m => m=80
W---|--x--|-10--|-----|
-----|-50-|-50--|-100-|
-----|-----|-----|-----|

(1) sufficient
-----|-----|-----|-----|
-----| IT |!IT | total|
-----|-----|-----|-----|
M---|--x-|--40--|-m?-|
W---|-10*-|-10--|-----| *=> 50*20%=10
-----|-50-|-50--|-100-|
-----|-----|-----|-----|

-----|-----|-----|-----|
-----| IT |!IT | total|
-----|-----|-----|-----|
M---|-40-|--40--|-80-|=> m=80
W---|-10*-|-10--|-----|
-----|-50-|-50--|-100-|
-----|-----|-----|-----|

From the graph bellow, it is clear that we need to determine the value of q (as a function of p) to answer the question.
1) Sufficient
50%(q+80%p)=q=100%q
50%q+50%(80%p)=100%q
0.5(80%p)=100%q-50%q
40%p=50%q
4p=5q. Clearly with this relationship we can determine the ration of men to country's population.
2) Sufficient
20%p=p-q
20%p=100%p-100%q
100%q=100%p-20%p
100%q=80%p
5q=4p
Clearly with this relationship we can determine the ration of men to country's population.

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