Table Chart Questions and Answers Quiz-5

Solution:

Let the total population of Nevada be x million.

Then, population of Nevada above poverty line

= [(100 - 24)% of x] million

= \left ( \frac{76}{100} \times x \right ) \text{ million }

And so, male population of Nevada above poverty line

= \left [ \frac{2}{5}\times \left ( \frac{76}{100}\times x \right ) \right ]\text{ million }

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

\therefore \frac{2}{5}\times \left ( \frac{76}{100}\times x \right )= 1.9 \Rightarrow x = \frac{5\times 100\times 1.9}{76\times 2} = 6.25

Therefore Total population of Nevada = 6.25 million.

Solution:

Total population of Indiana = 7 million.

Therefore 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 Indiana

=\left ( \frac{3}{7}\times 5.67 \right )million

= 2.43 million.

Solution:

Female population below poverty line for Texas = 2.1 million

Let the male population below the poverty line for Texas be x million.

Then, 5 : 6 = x : 21  =>   x =  \frac{2.1\times 5}{6}  = 1.75.

 

Therefore the Population below the poverty line for Texas = (2.1 + 1.75) million = 3.85 million.

 

Let the population above the poverty line for Texas by y million.

Since, 35% of the total population of Texas is below the poverty line, therefore, 65% of the total population of Texas is above the poverty line i.e., the ratio of population below poverty line to that above poverty line for Texas is 35 : 65.

 

Therefore 35 : 65 = 3.85 : y     =>  y =\frac{65 x 3.85}{35} = 7.15

 

Therefore Population above poverty line for Texas = 7.15 million and so, male population above poverty line for Texas

= \left ( \frac{6}{13}\times  7.15 \right )million

 

= 3.3 million.

Solution:

For California:

Male population below poverty line = 2.4 million.

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

Then, 3 : 5 = 2.4 : x    => x = \frac{5}{3}\times 2.4 = 4

 

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

If Nq be the total population of California, then,

25% of Nq = 6.4 million  => Nq =  \left ( \frac{6.4\times 100}{25} \right ) \text { million } = 25.6 million.

 

For Ohio:

Male population below poverty line = 6 million.

Let the female population below poverty line be y million.

Then, 5 : 3 = 6 : y        => y =\frac{3}{5}\times 6 = 3.6 million

 

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

If Nt be the total population of Ohio, then,

15% of Nt = 9.6 million => Nt =  \left ( \frac{9.6\times 100}{15} \right )\text{ million } = 64 million.<br /> <br />  <br /> <br /> Thus, Required ratio =\frac{Nq}{Nt} = \frac{25.6}{64} = 0.4 = \frac{2}{5}

Solution:

Total number of Operators who left the Company during 2015 - 2020

= (104 + 120 + 100 + 112 + 144)

= 580.

Total number of Operators who joined the Company during 2015 - 2020

= (880 + 256 + 240 + 208 + 192 + 248

= 2024.

Therefore, Required Percentage

= (580/2024)x100% = 28.66% ~= 29%.