Comprehension
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. Study the table and answer the questions based on it.
State | Percentage of population below 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 | 14 | 1:2 | 2:3 |
S | 9 | 3:2 | 4:3 |
T | 15 | 5:3 | 3:2 |
Question: 1
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?
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?
Updated On: Oct 24, 2024
- 1.33 million
- 2.43 million
- 3 million
- 5.7 million
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The Correct Option is B
Solution and Explanation
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
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
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Question: 2
If the male population above poverty line for State R is 1.9 million, then the total population of State R is
If the male population above poverty line for State R is 1.9 million, then the total population of State R is
Updated On: Oct 24, 2024
- 5.35 million
- 4.85 million
- 4.5 million
- 6.25 million
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The Correct Option is D
Solution and Explanation
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
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
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