PU-MET : Panjab University MBA Entrance Exam with MCQ Answers 2024

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26.

Study the following table and answer the questions

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

If the male population above poverty line for state R is 1.9 Million, then the total population of State R is ?
A: 4.5 million
B: 4.85 million
C: 5.35 million
D: 6.25 million

The answer is: D

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Explanation

To determine the total population of State R, follow these steps:

Step 1: Define Variables

  • Let the total population of state R be X.
  • Given that 24% of the population is below the poverty line, the remaining 76% is above the poverty line.

Thus, the population above the poverty line is:

0.76X

Step 2: Use the Given Male Population Above Poverty Line

  • The male-to-female ratio above the poverty line in State R is 2:3.
  • Let the number of males above the poverty line be (2/5) × (0.76X).
  • Given that this male population is 1.9 million, we set up the equation:

2/5×(0.76X)=1.9 

Step 3: Solve for X

0.304X=1.9

X = 1.9/ 0.304

X = 6.25 million 

Step 4: Choose the Correct Answer

The correct option is D: 6.25 million.