Question

In Fig. 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

First we need to find total marks. 

So, 

Marks scored in mathematics = \(\frac{Central\,angle\,of\,sector\times\,Total\,Marks}{360^\circ}\)

135 = \(\frac{90^\circ\times\,Total\,Marks}{360^\circ}\)

∴ Total Marks = 540

Marks scored in Hindi = \(\frac{Central\,angle\,of\,sector\times\,Total\,Marks}{360^\circ}\) = \(\frac{60\,\times\,540}{360^\circ}\) = 90 marks

Similarly, marks scored in science = \(\frac{76\,\times\,540}{360^\circ}\) Marks = 114 marks

Marks scored in social science = \(\frac{72\,\times\,540}{360^\circ}\) Marks = 108 marks

Marks scored in English = \(\frac{62\,\times\,540}{360^\circ}\) Marks = 93 marks