Question

In a city, 35$\%$ of the population is composed of migrants, 20$\%$ of whom are from rural areas. Of the local population, 48$\%$ is female while this figure for rural and urban migrants is 30$\%$ and 40$\%$ respectively. If the total population of the city is 7,28,400, what is its female population?

• A. 5,09,940
• B. 3,49,680
• C. 3,24,138
• D. None of these

Answer 1

Answer: (C)

3,24,138

Answer 2

Total number of migrants = 35$\%$ of 728400=254940………….(i)
Total number of locals= 473460 -------(ii)
Total number of rural in (i) = 20$\%$ of 254940= 50988 ---------(iii)
Total number of urban in (i) = 80$\%$ of 254940=203952----------(iv)
Number of females in (ii)= 48$\%$ of 473460=227260.8 ---------(v)
Number of females in (iii)= 30$\%$ of 50988 =15296.4---------(vi)
Number of females in (iii)= 40$\%$ of 203952=81580.8----------(vii)
Total number of females in the city
= (v) + (vi) + (vii) = 324138.
The correct option is (C): 3,24,138