Data Interpretation - Pie Charts

Study the following pie-chart and the table and answer the questions based on them.

Proportion of Population of Seven Villages in 1997

Village % Population Below Poverty Line
X38
Y52
Z42
R51
S49
T46
V58

1. 

If the population of village R in 1997 is 32000, then what will be the population of village Y below poverty line in that year?

A. 14100
B. 15600
C. 16500
D. 17000

Answer: Option B

Explanation:

Population of village R = 32000 (given).

Let the population of village Y be y.

Then, 16 : 15 = 32000 : y     => y = ( 15 x 32000 ) = 30000.
16

Therefore Population of village Y below poverty line = 52% of 30000 = 15600.


2. 

The ratio of population of village T below poverty line to that of village Z below poverty line in 1997 is:

A. 11 : 23
B. 13 : 11
C. 23 : 11
D. 11 : 13

Answer: Option C

Explanation:

Let N be the total population of all the seven villages.

Then, population of village T below poverty line = 46% of (21% of N)

and Population of villages Z below the poverty line = 42% of (11% of N)

Therefore Required ratio = 46% of (21% of N) = 46 x 21 = 23/11.
42% of (11 % of N) 42 x 11


3. 

Find the population of village S if the population of village X below poverty line in 1997 is 12160.

A. 18500
B. 20500
C. 22000
D. 26000

Answer: Option C

Explanation:

Let the population of village X be x.

Then, 38% of x = 12160   =>   x = 12160 x 100 = 32000.
38

Now, if s be the population of village S, then

16 : 11 = 32000 : s     =>     s = ( 11 x 3200 ) = 22000.
16


4. 

If in 1998, the population of villages Y and V increase by 10% each and the percentage of population below poverty line remains unchanged for all the villages, then find the population of village V below poverty line in 1998, given that the population of village Y in 1997 was 30000.

A. 11250
B. 12760
C. 13140
D. 13780

Answer: Option B

Explanation:

Population of village Y in 1997 = 30000 (given).

Let the population of village V in 1997 be v.

Then, 15 : 10 = 30000 : v     =>     v = 30000 x 10 = 20000.
15

Now, population of village V in 1998 = 20000 + (10% of 20000) = 22000.

Therefore Population of village V below poverty line in 1998 = 58% of 22000 = 12760.