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Pie Charts - General Aptitude

Study the following graph and the table and answer the questions given below.

Data of different states regarding population of states in the year 1998

Total population of the given States = 3276000.

States Sex and Literacy wise Population Ratio
Sex Literacy
M F Literate Illiterate
A.P 5 3 2 7
M.P 3 1 1 4
Delhi 2 3 2 1
Goa 3 5 3 2
Bihar 3 4 4 1
U.P. 3 2 7 2
T.N. 3 4 9 4
Q1:

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

ANS:A - 42 : 55

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

Population of U.P. in 1998 = 110% of x = 110 x x.
100
Also, let y be the population of M.P. in 1997. Then,
Population of M.P. in 1998 = 112% of y = 112 x y.
100
Ratio of populations of U.P. and M.P. in 1998 =
( 110 x x )
100
= 110x .
( 112 x y )
100
112y
From the pie-chart, this ratio is 15 .
20
Therefore 110x = 15   =>   x = 15 x 112 = 42 .
112y 20 y 20 110 55
Thus, ratio of populations of U.P. and M.P. in 1997 = x : y = 42 : 55.