Q55 2020, Percentage

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

एक शहर की वयस्क समष्टि में 40% पुरुष और 30% महिलाएँ विवाहित हैं। विवाहित वयस्क समष्टि का प्रतिशत क्या है, यदि कोई भी पुरुष एक से अधिक महिला से विवाह नहीं करता है और कोई भी महिला एक से अधिक पुरुष से विवाह नहीं करती है; और इनमें कोई विधवा और विधुर नहीं है?

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 %