Question
Download Solution PDFDirections: Study the below given table carefully and answer the given question : Following table shows the percentage population of six states below poverty line and the proportion of males and females.
If the total population of state S1 and S2 together is 17000, then what is the total number of females below the poverty line in the above-mentioned states?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total population of state S1 and S2 = 17000
Percentage of population below poverty line in S1 = 16%
Percentage of population below poverty line in S2 = 18%
Ratio of males to females below poverty line in S1 = 4 : 3
Ratio of males to females below poverty line in S2 = 3 : 4
Formula used:
Percentage = (Part / Total) × 100
Ratio of females = (Female part / Total ratio parts)
Calculation:
Let the population of S1 be x and the population of S2 be y.
x + y = 17000
Population below poverty line in S1 = 16% of x = 0.16x
Population below poverty line in S2 = 18% of y = 0.18y
Ratio of females below poverty line in S1 = 3 / (4 + 3) = 3 / 7
Ratio of females below poverty line in S2 = 4 / (3 + 4) = 4 / 7
Number of females below poverty line in S1 = (3 / 7) × 0.16x = (0.48 / 7)x
Number of females below poverty line in S2 = (4 / 7) × 0.18y = (0.72 / 7)y
Total number of females below poverty line = (0.48 / 7)x + (0.72 / 7)y
Note: We cannot proceed further without knowing the individual values of x and y. The problem lacks sufficient information to determine the exact number of females below the poverty line. If we assume x = y (which is NOT given), then:
Without individual population values for S1 and S2, we cannot find the exact answer.
∴ The correct answer is option 4.
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