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.

Alam said:   1 year ago
How 2/5 came? please explain the step.
(5)

Preethi P said:   2 years ago
How 24% is taken? Please explain me.

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)

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.

Hellca said:   4 years ago
Thanks @Deepti Rai.

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)

Baskar said:   4 years ago
@Monisha.

How you got x = 0.8? Explain.

SUBBU said:   5 years ago
Thanks @Monisha.

Shubham said:   5 years ago
Thanks for explaining @Monisha.

Monisha said:   6 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)


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