## Pie chart

#### Data Interpretation

Direction: The pie-chart given below shows the household expenditure of a family on different items. Study the chart carefully and answer the questions that follows.

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?

1. Both segments representing education and rent respectively are each 10%.

##### Correct Option: C

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.

Direction: Study the pie-charts carefully to answer the questions that follow.

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

1. 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 form College A = Total number of girls x 23%

##### Correct Option: C

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%

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

1. 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.
Similarly for other collage also apply the same formula.

##### Correct Option: A

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

1. What is the number of girls in college D?

1. As per second graph,
Total number of girls = 1800
Number of girls in College D = Total Number of Girls x 11%

##### Correct Option: D

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

1. Which college has lowest number of girls?

1. It is clear from the pie-chat that percentage of students in college E and percentage of girls in collage is minimum.

##### Correct Option: C

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.