Pie chart
Direction: Study the pie-charts carefully to answer the questions that follow.
- Which college has the maximum number of boys?
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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.
Similarly for other collage also apply the same formula.Correct Option: C
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.
- Which college has lowest number of girls?
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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.
- What is the number of girls in college D?
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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
- What is the total number of boys from Colleges E and F together?
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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
- The number of boys from College A form what per cent of total number of students from that college?
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View Hint View Answer Discuss in Forum
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%