67th BPSC: Daily Problem practice Solution for Statistical analysis(Day-1)

Q. Study the following pie-chart and the table and answer the questions based on them. Proportion of Population of Seven Villages in 1997. (a) 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? 8

(b) What is the ratio of population of village T below poverty line to that of village Z below poverty line in 1997? 10

(c) Find the population of village S if the population of village X below poverty line in 1997 is 12160.                         8

(d) 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.                         10

Ans:

(a) 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?                                   

Ans:

Population of village R = 32000 (given).

Let the population of village Y be y.

 

Then, 16 : 15 = 32000 : y    =>  y =(15*32000)/16 = 30000

 

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

 

(b) What is the ratio of population of village T below poverty line to that of village Z below poverty line in 1997?                                                                         

Ans:

 

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

Ans:

                                                                                               

(d) 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.       

Ans:

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