Previous Year Questions

Let the population of A and B during the beginning of 2017 be 'a' and 'b' respectively.

After migration, population in A = 0.8a + 0.35b

And population in B = 0.65b + 0.2a

Also, 0.2a + 0.35b = 1130

4a + 7b = 22600 .. (i)

Number of females in A and B = 0.55 * (0.8a + 0.35b) + 0.4 * (0.65b + 0.2a) = 0.52a + 0.4525b

0.52a + 0.4525b = 1840

208a + 181b = 736000 .. (ii)

Solving (i) and (ii), we get

52(22600 - 7b) + 181b = 736000

1175200 - 364b + 181b = 736000

183b = 439200

b = 2400

So, a = 1450

Hence, total population = 1450 + 2400 = 3850