Data Interpretation - Pie Charts - Discussion

Discussion Forum : Pie Charts - Pie Chart 12 (Q.No. 5)
Directions to Solve

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


5.
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?
42 : 55
48 : 55
7 : 11
4 : 5
Answer: Option
Explanation:

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.

Discussion:
8 comments Page 1 of 1.

Shanaya said:   4 years ago
I am not understanding this, please explain to me.

Haise said:   5 years ago
How come 110 & 112? Can anyone explain?

Ank said:   6 years ago
Can it be written in these way also or not?

( 90% of 15% of total ) ÷ ( 88% of 20% of total).
= ( 90*15*N ) ÷ ( 88*20*N).
= 135 ÷ 176.

Satish said:   7 years ago
{(15*100)÷110}:{(20*100)÷112}.

42 : 55.

Monil said:   7 years ago
Can it be written in these way also or not?

( 90% of 15% of total ) ÷ ( 88% of 20% of total).
= ( 90 * 15 * N ) ÷ ( 88 * 20 * N ).
= 135 ÷ 176.

Yara said:   8 years ago
Could it be explained in any other way?

King said:   9 years ago
Why not this?

(15/100)*100/110 : (20/100)*100/120.

= (3/20)*(10/11) : (1/5)*(5/6).

= 3/11 : 1/6 = 18:22.

= 9:11.

Satya said:   9 years ago
Can any one explain it?

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