29.
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 population of males below poverty line for State Q is 2.4 Million and that for State T is 6 Million, then the total populations of States Q and T are in the ration ?
Explanation
Step 1: Find the Total Population Below the Poverty Line
For State Q:
- Given that male population below the poverty line = 2.4 million.
- The male-to-female ratio below the poverty line in State Q is 3:5.
- Let the female population below the poverty line be xx.
- Since the ratio is 3:5, we can write:
2.4/x=3/5
x = 5/3 X 2.4 = 4 million
Total Below Poverty Line for Q =2.4+4=6.4 million
Since 25% of the total population of Q is below the poverty line:
0.25XQ=6.40
XQ = 6.4/0.25= 25.6 million
For State T:
- Given that male population below the poverty line = 6 million.
- The male-to-female ratio below the poverty line in State T is 5:3.
- Let the female population below the poverty line be xx.
- Since the ratio is 5:3, we can write:
6/x=5/3
x=3/5×6=3.6 million
Total Below Poverty Line for T=6+3.6=9.6 million
Total Below Poverty Line for T = 6 + 3.6 = 9.6 million
- Since 15% of the total population of T is below the poverty line:
0.15XT=9.60
XT = 9.6/0.15 = 64 million
Step 2: Find the Ratio of XQ:XT = 25.6:64
Dividing both by 6.4 = 4:10
Simplifying: 2:5
Step 3: Choose the Correct Option
The correct answer is B: 2:5.
