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.

Answer 1

$$\begin{gathered} \mathrm{Marks}\mathrm{scored}\mathrm{in}\mathrm{mathematics}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Marks}}{360°} \\ 135=\frac{90°\times \mathrm{Total}}{360°} \\ \mathrm{Total}\mathrm{Marks}=540 \end{gathered}$$

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