Page 335 - Start Up Mathematics_8 (Non CCE)

Example 5: The pie chart given alongside shows the marks scored in an
examination by a student in Hindi, English, Mathematics, Social
Social Science and Science. If the total marks obtained by Science
the student were 540, answer the following questions: Mathematics 65º
90º
(a) In which subject did the student score 105 marks? 80º
55º
(b) How many more marks were obtained by the student English 70º Science
in Mathematics than in Hindi?
(c) Examine whether the sum of the marks obtained in Hindi
Social Science and Mathematics is more than that in
Science and Hindi. (NCERT)

Solution: (a) The student scored 105 marks in
Hindi. Subjects Central angle Marks obtained

(b) Marks in Mathematics = 135, English 55º 55  × 540 = 82.5
Marks in Hindi = 105 360 
So, the student got 135 – 105 = 30 Mathematics 90º 90 
more marks in Mathematics than 360  × 540 = 135
in Hindi. Social 
65
(c) (S ) Sum of marks in Social Science 65º 360  × 540 = 97.5
1
Science and Mathematics = 135 
+ 97.5 = 232.5 Science 80º 80  × 540 = 120

(S ) Sum of marks in Science and 360
2
Hindi = 120 + 105 = 225 Hindi 70º 70   × 540 = 105
\ S > S 2 360
1
Cycle

Bus
Example 6: The given pie chart shows the various modes of transport used 90º 60º
by 720 students. Find the percentage of students using each 50º
mode. 120º Scooter
Train 40º

Car
Solution:
Mode of transport Central angle Number of students Percentage

Bus 60º 60   × 720 = 120 60 × 100 = 16.7%
360 360

Cycle 90º 90  × 720 = 180 90 × 100 = 25%
360  360

Train 120º 120   × 720 = 240 120 × 100 = 33.3%
360 360

Car 40º 40  × 720 = 80 40 × 100 = 11.1%
360  360

Scooter 50º 50  × 720 = 100 50 × 100 = 13.9%
360  360

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