Question

In figure, 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

Marks obtained in mathematics = 135

Central angle = ${90}^{\circ }$

$\therefore$ Total marks obtained $=\frac{135\times {360}^{\circ }}{{90}^{\circ }}=540$

Marks in Hindi $=\frac{540\times {60}^{\circ }}{{360}^{\circ }}=90$

Marks in English $=\frac{540\times {62}^{\circ }}{{360}^{\circ }}=93$

Marks in Social Science $=\frac{540\times {72}^{\circ }}{{360}^{\circ }}=108$

Marks in Science $=\frac{540\times {76}^{\circ }}{{360}^{\circ }}=114$