Question
Out of the number of qualified candidates from State X
in 2010, the ratio of male to female candidates is 5: 7. If the number of female qualified candidates from State X in 2010 is 168, what is the number of appeared candidates (both male and female) from State X in 2010? Study the given table and answer the question that follows. The given table shows the number of candidates who appeared (both male and female) in a Public Examination and the percentage of those who qualified in the examination from two states X and Z. Few values are missing in the table (indicated by ------). You will be required to fill them up according to the question.Solution
Ratio of male to female qualified candidates = 5:7
Female qualified = 168
Total qualified = 5x + 7x = 12x
⇒ 7x = 168
⇒ x = 24
⇒ Total qualified = 12x = 288
Also, percentage of qualified in 2010 = 60%
⇒ Appeared candidates = 288 / 0.60 = 480
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