Question:
In Fig. 25.21, the pie-chart shows the marks obtained by a student in various subjects. If the student scored 135 marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects..png)
Solution:
Marks scored in mathematics $=\frac{\text { Central angle of corresponding sector } \times \text { Total Marks }}{360^{\circ}}$
$135=\frac{90^{\circ} \times \text { Total }}{360^{\circ}}$
Total Marks $=540$
Marks scored in Hindi = (Central angle of Hindi x Total)/360
= (60 x 540)/360 marks = 90 marks
Similarly, marks scored in science = (76 x 540) /360 marks = 114 marks
Marks scored in social science = (72 x 540) /360 marks = 108 marks
Marks scored in English = (62 x 540)/360 marks = 93 marks