The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.
(i) In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?)
(ii) How many more marks were obtained by the student in Mathematics than in Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).
Solution:
A circle graph or pie chart shows the relationship between a whole and its parts. Sum of the total angles in a pie chart is equal to 360°.
The central angle for each color is given and the marks are calculated below:
| Subject | Central Angle (°) | Marks Obtained |
| Mathematics | 90 | 90º /360º × 540 = 135 |
| Social Science | 65 | 65º /360º × 540 = 97.5 |
| Science | 80 | 80º /360º × 540 = 120 |
| Hindi | 70 | 70º /360º × 540 = 105 |
| English | 55 | 55º /360º × 540 = 82.5 |
(i) The student scored 105 marks in Hindi.
(ii) Marks obtained in Mathematics = 135
Marks obtained in Hindi = 105
Difference = 135 – 105 = 30
Thus, 30 more marks were obtained by the student in Mathematics than in Hindi.
(iii) The sum of marks in Social Science and Mathematics = 97.5 + 135 = 232.5
The sum of marks in Science and Hindi = 120 + 105 = 225
Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
☛ Check: Class 8 Maths NCERT Solutions Chapter 5
Video Solution:
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions. (i) In which subject did the student score 105 marks? (Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?) (ii) How many more marks were obtained by the student in Mathematics than in Hindi? (iii) Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi. (Hint: Just study the central angles).
NCERT Solutions for Class 8 Maths Chapter 5 Exercise 5.2 Question 4
Summary:
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, (i) The student scored 105 marks in Hindi (ii) 30 more marks were obtained by the student in Mathematics than in Hindi. (iii) Yes, the sum of the marks in Social Science and Mathematics is more than that in Science and Hindi.
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