Question 1

If the family's expenditure on education is Rs. 375 then the same amount is being expent by this family on which of the following items?

Accepted Answer

Both segments representing education and rent respectively are each 10%. Hence, family's expenditure on these two items will be equal. i.e.. Rs. 375 will be expenditure on rent.

Question 2

If the family expends Rs. 750 per month on food, what is the annual expenditure of this family on education?

Accepted Answer

Here as per graph food expenditure , 40% = Rs. 750 per month ⇒ 10% = 10 x 750/40 = Rs. 187.50 per month As per graph 10% is the expenditure on education. ∴ Annual expenditure (12 months) of the family on education = 187.50 x 12 = Rs. 2250

Question 3

If total expenditure of this family is Rs. 4500, find the expenditure of the family on clothing?

Accepted Answer

As per graph, Expenditure on clothing = 20 % Expenditure on clothing = Total expenditure x 20 % Expenditure on clothing = 4500 x 20/100 = Rs. 900 Expenditure on clothing = 45 x 20 = Rs. 900

Question 4

What is the angle subtended on the center by the segment representing other expenses?

Accepted Answer

As per graph, other expenses = 15 % of total expenditure. As we know that the angle made on center in a circle is 360° Since 100% made an angle 360° in a circle. therefore 1% made an angle 360° / 100 in a circle. therefore 15% made an angle 15 x 360° / 100 in a circle. Central angle for 15% =15 x 36° / 10 Central angle for 15% =3 x 36° / 2 Central angle for 15% =3 x 18° = 54°

Question 5

What is the ratio of total expenses on rent and clothing to the total expenses on medicines and other expenses of this family?

Accepted Answer

As per graph Expenditure on rent and clothing = 10% + 20% = 30% Expenditure on medicine and other expenses = 5% + 15% = 20% ∴ Ratio = 30% : 20% = 3 : 2

Question 6

The ratio of the total amount spent on football to that spent on hockey is:

Accepted Answer

Expenditure on the game of Football = 15% of total amount spent Expenditure on the game of Hockey = 15% of total amount spent Therefore, the ratio of the expenditure on the two game = 1 : 1

Question 7

If the total amount spent on sports during the year was Rs. 30,00,000. The amount spent on cricket and hockey together was:

Accepted Answer

According to question the total amount spent = Rs. 30,00,000 = 100% ∴ Total Expenditure on the games of Cricket and Hockey = 25% + 15% = 40% ∴ The total amount spend on the games of Cricket and Hockey = 40% of 30,00,000 = 40 x 30,00,000/100 = 40 x 30,000 = Rs. 12,00,000

Question 8

If the total amount spent on sports during the year was Rs. 1,20,00,000. how much was spent on basketball?

Accepted Answer

According to question, Total spent 100% = 1,20,00,000 According to graph, ∴ Expenditure on the game of Basketball = 121/2 % ∴ The Amount spend on the game of Basketball = 121/2% of 1,20,00,000 = 25 x 1,20,00,000/100 = Rs. 15,00,000

Question 9

Graph shows that the most popular game of the country is:

Accepted Answer

According to the graph, expenditure on cricket is the maximum. Therefore cricket is the most popular game.

Question 10

Out of the following the country spent the same amount on:

Accepted Answer

According to the graph, equal amount has been spent on Hockey and Football because the same percentage given in graph. Expenditure on the game of Football = 15% of total amount spent Expenditure on the game of Hockey = 15% of total amount spent

Question 11

Which college has the maximum number of boys?

Accepted Answer

As per first graph, The number of students in Collage A = Total number of students x 21% As per second graph, The number of girls from College A = Total number of girls x 23% So number of boys in Collage A = The total number of students in Collage A - The total number of girls in Collage A. Number of boys in college A = 3500 x 21/100 - 1800 x 23/100 = 735 - 414 = 321 Similarly we can get the number of boys from other collages. Number of boys in college B = 3500 x 9/100 - 1800 x 10/100 = 315 - 180 = 135 Number of boys in college C = 3500 x 33/100 - 1800 x 31/100 = 1155 - 558 = 597 Number of boys in college D = 3500 x 18/100 - 1800 x 11/100 = 630 - 198 = 432 Hence, number of boys in college C has maximum.

Question 12

Which college has lowest number of girls?

Accepted Answer

It is clear from the pie-chat that percentage of students in college E and percentage of girls in collage is minimum. Hence, college E has lowest number of girls.

Question 13

What is the number of girls in college D?

Accepted Answer

As per second graph, Total number of girls = 1800 Number of girls in College D = Total Number of Girls x 11% ⇒ Number of girls in College D = 1800 x 11% ⇒ Number of girls in College D = 1800 x 11/100 ⇒ Number of girls in College D = 18 x 11 = 198

Question 14

What is the total number of boys from Colleges E and F together?

Accepted Answer

As per first graph, The number of students in Collage E = Total number of students x 7% As per second graph, The number of girls from College E = Total number of girls x 8% So number of boys in Collage E = The total number of students in Collage E - The total number of girls in Collage E. Number of boys from college E = 3500 x 7/100 - 1800 x 8/100 Number of boys from college E = 35 x 7 - 18 x 8 Number of boys from college E = 245 - 144 = 101 Similarly for collage F also apply the same formula. Number of boys from college F = 3500 x 12/100 - 1800 x 17/100 = 420 - 306 = 114 Hence, the total number of boys together in collage E and F = 101 + 114 = 215

Question 15

The number of boys from College A form what per cent of total number of students from that college?

Accepted Answer

As per first graph, The number of students in Collage A = Total number of students x 21% The number of students in Collage A = 3500 x 21/100 The number of students in Collage A = 35 x 21 = 735 As per second graph, The total number of girls from College A = Total number of girls x 23% The total number of girls from College A = 1800 x 23/100 The total number of girls from College A = 18 x 23 = 414 Number of boys from college A = Total number of students in Collage A - The total number of girls from College A Since, number of boys from college A = 735 - 414 = 321 Required percentage = 100 x Number of Boys from Collage A / Total number of boys in collage A Required percentage = 100 x 321/735 Required percentage = 2140/49 = 43.67%

Question 16

If the total income of the family was $ 1,50,000 then the money spent on food was :

Accepted Answer

Question 17

Maximum expenditure of the family other than on food, was on:

Accepted Answer

From above given pie-chart , It is clear that Maximum expenditure of the family other than on food is on others . Hence Required Answer will be on others ( 20% ) .

Question 18

The percentage of the income which was spent on clothing, education of children and transport together is:

Accepted Answer

From above graph , we have Expenditure on clothing = 10% Expenditure on education of children = 12% Expenditure on transport = 5% ∴ Total Expenditure = Expenditure on clothing + Expenditure on education of children + Expenditure on transport Total Expenditure = 10% + 12% + 5% = 27%

Question 19

If the total income of the family for the year 2009 was 1,50,000 then the difference between the expenditures on housing and transport was :

Accepted Answer

Question 20

The savings of the family for the year were equal to the expenditure on:

Accepted Answer

As per given chart , we can see that The savings of the family for the year is equal to the expenditure on housing. Hence ,correct option is B.

Pie Charts Questions