In Fig. 25.21, the pie-chart shows the marks obtained by a student in various subjects.

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.

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

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