In Fig. the pie chart shows the marks obtained by a student in various

1.	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» 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

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»

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

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