Question
Out of total number of people in an office, 37% are
males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of number of married males and married females in the office is 8:7, respectively.ย Find the total number of people in the office if the number of unmarried females in the office is 112.Solution
Let the total number of people in the office be โ100xโ Number of males in the office = 100x ร 0.37 = โ37xโ Number of females in the office = 100x โ 37x = โ63xโ Total number of married people in the office = 100x ร (3/5) = โ60xโ Total number of unmarried people in the office = 100x ร (2/5) = โ40xโ Number of married males in the office = 60x ร (8/15) = โ32xโ Number of married females in the office = 60x โ 32x = โ28xโ Number of unmarried females in the office = 63x โ 28x = โ35xโ According to question: 35x = 112 x = 3.2 So, total number of people in the office = 100 ร 3.2 = 320
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