Question

What will be the number of females above poverty line in the State 5 if it is known that the population of State S is 7 million?

• A. 1.33 million
• B. 2.43 million
• C. 3 million
• D. 5.7 million
• A. 5.35 million
• B. 4.85 million
• C. 4.5 million
• D. 6.25 million

Answer 1

The Correct Option is B

Percentage of population above poverty line for state D = 100\(\%\) - 19\(\%\) = 81\(\%\)
Since the total population is 7 million of state D. 
→Total population above poverty line for state D = 81\(\%\) of 7 million = 5.67 million 
Now the ratio of males and females above the poverty line for state D = 4:3
\(\therefore\) Fraction of females \(=\frac{3}{7}\)
Number of females above the poverty line in the state D \(=(\frac{3}{7})\times5.67=2.43\) million
there are 2.43 million females above the poverty line in state D.
The correct option is (B): 2.43 million

Answer 2

Percentage of population above poverty line in state C = 100\(\%\) -24\(\%\) = 76\(\%\)
Also, the ratio of males and females for state C who are above the poverty line = 2:3
Let the total population of state C be x.
Now, the fraction of males above the poverty line is \(\frac{2}{5}\). Also, the male population is 1.9 million.
⇒ \(x\times\frac{76}{100}\times\frac{2}{5}=1.9\)
⇒ \(x=6.25\) million
the total population of state C is 6.25 million.
The correct option is (D): 6.25 million