#29 Percentage 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 emale while this figure for rural and urban migrants is 30% and 40% respectively. If the total population of the city is 728400, what is its female population ?

A) 856678
B) 860990
C) 896660
D) 908790

 Answer: C) 896660 

Explanation:

Migrants = 35 % of 728400  = (35x/100 * 728400) = 254940.
local population = (728400 - 254940) = 473460.

Rural population = 20% of 473460 = 94692.

Urban population = (254940 - 94692) = 160248.

Female population = 48% of 473460 + 30% of 94692 + 40% of 160248

 = (48/100 * 473460 + 30/100 * 94692 + 40/100 * 160248)

   = 227260.8 + 28407.6 + 64099.2 = 896660