# 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 | ||

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 |

1.

If the male population above poverty line for State R is 1.9 million, then the total population of State R is?

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.

2 | x | 76 | x x |
= 1.9 x = |
5 x 100 x 1.9 | = 6.25. | |||

5 | 100 | 76 x 2 |

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.

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.

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:
3 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.

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.

(11)

Prem Prasidda said:
1 year 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.

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.

(4)

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.

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.

Hence 76% 2/5 = 1.9 million.

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

CasillAS said:
5 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.

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.

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

(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:
8 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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