Data Interpretation - Table Charts - Discussion

Discussion Forum : Table Charts - Table Chart 9 (Q.No. 1)
Directions to Solve

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
P355 : 66 : 7
Q253 : 54 : 5
R241 : 22 : 3
S193 : 24 : 3
T155 : 33 : 2


1.
If the male population above poverty line for State R is 1.9 million, then the total population of State R is?
4.5 million
4.85 million
5.35 million
6.25 million
Answer: Option
Explanation:

Let the total population of State R be x million.

Then, population of State R above poverty line

    = [(100 - 24)% of x] million

    = ( 76 x x ) million
100

And so, male population of State R above poverty line

    = [ 2 x ( 76 x x ) ] million
5 100

But, it is given that male population of State R above poverty line = 1.9 million.

Therefore 2 x ( 76 x x ) = 1.9     =>     x = 5 x 100 x 1.9 = 6.25.
5 100 76 x 2

Therefore Total population of State R = 6.25 million.

Discussion:
33 comments Page 1 of 4.

Monisha said:   5 years ago
Its Easy, just find X more than enough,

Data given:- M:F ratio above the poverty line is 2:3 and Total male population above the poverty line is 1.9.

Therefore, In the above poverty line,
Ratios are 2:3 i.e, 2x:3x which is no. of males are 2x= 1.9 so, x = 0.8
So, no of females is 3x i.e, 3*0.8 = 2.4.

Similarly, In below poverty line,
M:F ratio is 1:2.

Take the same X value x=0.8 and substitute in 1x:2x
1x=0.8, x = 0.8
2x = 2(0.8) = 1.6.

Now, add both above poverty and below poverty line values that is;
1.9 + 2.4 + 0.8 + 1.6 = 6.7 approx 6.2.
(2)

Deep Vyas said:   1 decade ago
We can do this example same as example no. 3:

Ratio between male & female for above poverty line is 2:3.

Lets assume female population above poverty line is x.

So, 2:3 = 1.9:x => x = 2.85 million.

Total population above poverty line = 1.9 + 2.85 = 4.75 million.

Now the ratio of Population below poverty line & above poverty line is 24:76.

Lets assume population of below poverty line is y.

So, 24:76 = y:4.75 => y = 1.50 million.

Total population of state R = 4.75 + 1.50 = 6.25 million.

Deepti rai said:   4 years ago
Below poverty line 1:2 is 24%.
Above poverty line is 2:3.

Here 2 which is male ratio is given 1.9mill. So find 3? in mill.
2/3=1.9/x.

Cross multiply 2x = 5.7.
X= 2.85 which is female ratio 3.

Now add total population of above poverty line male + female
= 1.9+2.85.
= 4.75 mill.

Now since 24% is below poverty line then 24-100 = 76% is above poverty line.
76% is = 4.75mill,
Now 24% = 4.75/76*24.
= 1.5mill.

Now total population = 1.5 + 4.75.
= 6.25mill.
(15)

Prem Prasidda said:   2 years ago
It means,
Percentage of the Population below the Poverty Line Means the Proportion of Males and Females Below the Poverty Line which is 24% and Ration of 1:2,

Similarly,
Percentage of the Population Above the Poverty Line Means the Proportion of Males and Females Above the Poverty Line which is 76% and Ration of 2:3,
Now,
2 = 1.9.
5 = 1.9/2 * 5 = 4.75 (It is 76%).
So,
76% = 4.75
100% = 4.75/76 * 100 = 6.25 Millions.
(6)

Prakash said:   1 decade ago
Hi @Anand,

Yes, above poverty line for the state R is 2:3, in that 2 is males percentage, and 3 is females percentage and 5 (2+3) is the overall population including male and female. if you need to find the male population alone of State R then it would be 2/(2+3) = 2/5; similarly for female population 3/(2+3) = 3/5.

Hope this is clear.

Amardeep singh said:   8 years ago
% in the r state bellow the poverty line is 24 hence the % of above poverty line in r state will be 76% the proportion between male and female in above poverty line is 2:3 the male population above the poverty line in r state is 1.9 million.

Hence 76% 2/5 = 1.9 million.

76% = 9.5/2, 76% = 4.75 million and 100% will be 6.25 million.

CasillAS said:   6 years ago
Male population above poverty line = 1.9.
Ratio of m/f above poverty line = 2/3.
Now 1.9/f=2/3.

Female population=2.85
Total population above poverty line = 2.85+1.9 = 4.75.
Total percentage above poverty line = 76(100-240),
Now let total population be x.
76 % 0f x=76/100*x = 4.75.
x = 6.25 ans.

TEJAKRANTH said:   2 years ago
Here above poverty line of are is 24, we take this number as 24% means 24/100.
In this 24/100, 24 is the numerator and 100 is the denominator. So the difference between these two numbers is 76.

Tanay D.G said:   1 decade ago
It can be done more easily:

(1.9/2) * 5 = 4.75

as 4.75 is 76%(100-24)% of total population, so total population is (4.75/76)*100 = 6.25 million

Kiruthiga said:   9 years ago
Could you give a shortcut to finding the solution? Please provide data interpretation related to both PO & amp;SO exams?


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