Question
Out of total number of people in an office, 40% 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.Β Find the total number of people in the office if the number of unmarried females in the office is 96.Solution
Let the total number of people in the office be β100xβ Number of males in the office = 100x Γ 0.40 = β40xβ Number of females in the office = 100x β 40x = β60xβ Total number of married people in the office = 100x Γ (3/5) = β60xβ Total number of unmarried people in the office = 100x Γ (2/5) = β40xβ Number of married males in the office = 60x Γ (8/15) = β32xβ Number of married females in the office = 60x β 32x = β28xβ Number of unmarried females in the office = 60x β 28x = β32xβ According to question: 32x = 96 x = 3 So, total number of people in the office = 100 Γ 3 = 300
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