Question

The pie chart gives the marks scored in an examination by a student in different subjects. If the total marks obtained were 540, answer the following questions– 

(i) In which subject did the student score 105 marks? 

(ii) How many more marks were obtained by the student in Mathematics than in Hindi?

Answer 1

(i) For 540 marks, central angle = 360° 

For 1 mark, central angle = 360/ 540

For 105 marks, central angle = 360/540 x 105 = 70° 

Hence the student scored 105 marks in Hindi. 

(ii) Central angle = 360° for 540 marks, 

For 1 mark, central angle = 360°/ 540 

For 90 marks, central angle = 540/360 × 90 marks = 135 marks. 

Thus, the student gets 135 marks in Mathematics. From part (i) we get that the student gets 105 marks in Hindi. 

Difference in marks = 135 – 105 = 30 

Hence, the student gets 30 more marks in Mathematics than in Hindi.