DIRECTION for the question:Solve the following question and mark the best possible option.
The populations of two cities X and Y is equal. The population of city X increases in two successive years by 15% and 20% respectively and that of city Y increases successively by 10% and 30% respectively. If the difference in the population of two cities after 2 years is 55,980, then what was the total population of the two cities initially?
A)
27,39,200
B)
12,39,200
C)
22,39,200
D)
33,39,200
E)
25,39,200
C
Let the total population be x
Final population of city 1 = x(1.15)(1.20) = 1.38x
Final population of city 2 = x(1.1)(1.3) = 1.43x
ATQ,
1.43x - 1.38x = 55,980
0.05x = 55980
x = 11,19,600
Total population = 11,19,600*2 = 22,39,200
