In adult population of a city, 40% men and 30% women are married

In adult population of a city, 40% men and 30% women are married. What population if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?

1. 33 1/7 %
2. 34 %
3. 34 2/7 %
4. 35 %

• Answer: The correct option is C
• Explanation:

  Number of married men and women must be equal.

  So, 40% of men = 30% of women

  Let there be 300 men and 400 women in the city. Hence, there are a total of 700 adults.

  Number of married men = 40% of 300 = 120

  Number of married women = 30% of 400 = 120

  So, Number of married adults = 120 + 120 = 240

  Percentage of married adults in the population = (240/700) × 100

  = 34 2/7 %

• Exam Year: 2020