1.  If in the year 1998, there was an increase of 10% in the population of U.P. and 12% in the population of M.P. compared to the previous year, then what was the ratio of populations of U.P. and M.P. in 1997 ?
A. 42 : 55
B. 48 : 55
C. 7 : 11
D. 4 : 5

Answer: Option A

Explanation:

Let x be the population of U.P. in 1997. Then,

Population of U.P. in 1998 = 110% of x =110x x.
100

Also, let y be the population of M.P. in 1997. Then,

Population of M.P. in 1998 = 112% of y =112x y.
100

Ratio of populations of U.P. and M.P. in 1998 




=
(110x x)
100
=110x.
(112x y)
100
112y

From the pie-chart, this ratio is15.
20

Therefore110x=15  =>  x=15x112=42.
112y20y2011055

Thus, ratio of populations of U.P. and M.P. in 1997 

= x : y = 42 : 55.