# Data Interpretation - Table Charts

*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 |

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.

Total population of State S = 7 million.

Population above poverty line

= [(100 - 19)% of 7] million

= (81% of 7) million

= 5.67 million.

And so, the number of females above poverty line in State S

= | 3 | x 5.67 | million | ||

7 |

= 2.43 million.

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.

**For State Q:**

Male population below poverty line = 2.4 million.

Let the female population below poverty line be *x* million.

Then, 3 : 5 = 2.4 : x x = |
5 x 2.4 | = 4. |

3 |

Total population below poverty line = (2.4 + 4) = 6.4 million.

If N_{q} be the total population of State Q, then,

25% of N_{q} = 6.4 million N_{q} = |
6.4 x 100 | million = 25.6 million. | ||

25 |

**For State T:**

Male population below poverty line = 6 million.

Let the female population below poverty line be *y* million.

Then, 5 : 3 = 6 : y y = |
3 x 6 | = 3.6. |

5 |

Total population below poverty line = (6 + 3.6) = 9.6 million.

If N_{t} be the total population of State T, then,

15% of N_{t} = 9.6 million N_{t} = |
9.6 x 100 | million = 64 million. | ||

15 |

Thus, Required ratio = | N_{q} |
= | 25.6 | = 0.4 = | 2 | . |

N_{t} |
64 | 5 |