Data Interpretation - Table Charts - Discussion
The following table gives the percentage distribution of population of five states, P, Q, R, S and T on the basis of poverty line and also on the basis of sex.
State | Percentage of Population below the Poverty Line | Proportion of Males and Females | |
Below Poverty Line | Above Poverty Line | ||
M : F | M : F | ||
P | 35 | 5 : 6 | 6 : 7 |
Q | 25 | 3 : 5 | 4 : 5 |
R | 24 | 1 : 2 | 2 : 3 |
S | 19 | 3 : 2 | 4 : 3 |
T | 15 | 5 : 3 | 3 : 2 |
Female population below poverty line for State P = 2.1 million
Let the male population below poverty line for State P be x million.
Then, 5 : 6 = x : 21 x = | 2.1 x 5 | = 1.75. |
6 |
Population below poverty line for State P = (2.1 + 1.75) million = 3.85 million.
Let the population above poverty line for State P by y million.
Since, 35% of the total population of State P is below poverty line, therefore, 65% of the total population of State P is above poverty line i.e., the ratio of population below poverty line to that above poverty line for State P is 35 : 65.
35 : 65 = 3.85 : y y = | 65 x 3.85 | = 7.15. |
35 |
Population above poverty line for State P = 7.15 million and so, male population above poverty line for State P
= | 6 | x 7.15 | million | ||
13 |
= 3.3 million.
Female population below the poverty line for State P = 2.1 million.
By using this data let's find the total population of the state P.
From the Table, in-state P.
Percentage of Population Below the Poverty Line = 35% (35/100).
Below Poverty Line Male: Female ratio = 5: 6,
The female Ratio will be 6/11 (Female ratio/total),
Let the total population of the state P be 'x',
Now,
x* 35/100 * 6/11 = 2.1 (Female population below the poverty line for State P).
After solving this,,
you will get x=11.
So, the total population of the State P = 11 million.
To find the male population above the poverty line for State P,
We know that,
Percentage of Population Below the Poverty Line = 35% (35/100).
So, the Percentage of the Population above the Poverty Line will be 65%(65/100),
Above Poverty Line Male: Female ration= 6:7,
The male ratio will be 6/13 (Male ratio/total).
Now,
65/100 * 6/13 * 11 (the total population of the State P).
Solving this you will get 33/10 which is 3.3.
So, the male population above the poverty line for State P will be 3.3 million.
Female population below the poverty line for State P = 2.1 million.
By using this data let's find the total population of the state P.
From the Table, in-state P.
Percentage of Population Below the Poverty Line = 35% (35/100),
Below Poverty Line Male: Female ratio = 5: 6,
The female Ratio will be 6/11 (Female ratio/total),
Let the total population of the state P be 'x',
Now,
x* 35/100 * 6/11 = 2.1 (Female population below the poverty line for State P),
After solving this,
you will get x=11.
So, the total population of the State P = 11 million.
To find the male population above the poverty line for State P,
We know that,
Percentage of Population Below the Poverty Line = 35% (35/100),
So, the Percentage of the Population above the Poverty Line will be 65%(65/100),
Above Poverty Line Male: Female ration= 6:7,
The male ratio will be 6/13 (Male ratio/total).
Now,
65/100 * 6/13 * 11 (the total population of the State P),
Solving this you will get 33/10 which is 3.3.
So, the male population above the poverty line for State P will be 3.3 million.
6/11*35/100*X= 2.1-->(given).
Therefore,
X= 11.
.
Now for male population above poverty line for state p.
6/13*65/100*X=6/13*65/100*11= 3.3million.
For below poverty line don't use [100-given%].
x = 11.
x is total population.
65/100*11*6/13 = 3.3 million.
As female below poverty line is 2.1 and its ratio is 6 thus total population in state p = (2.1/6)*11 = 3.58 million. This 3.58 million people are below poverty line.
So people above poverty line are = (3.58/35)*65 = 7.15million.
And thus male population above poverty line =(7.15/13) *6 = 3.3 million.
35%*6/11 = 2.1
35% = 2.1*11/6
1% = (2.1*11) / (6*35)
(100-35)%=65%= (2.1*11*65)/(6*35)=7.15 million
so, male popln above poverty level= 7.15 * 6/13 million
= 3.3 million