Question

The following pie chart gives the marks obtained by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in a test.
If the total marks obtained in the test are 540, then the marks scored in Social Science exceeds the marks scored in English by __ marks.

• A. 97.5
• B. 82.5
• C. 15
• D. 30

Answer 1

The correct option is C 15

Here, ${360}^{\circ }$ corresponds to 540 marks as the total angle at the centre represents the total marks obtained in the test.
$\therefore 1^{\circ }$ corresponds to $\frac{540}{360}$ marks.

The angle made by the sector corresponding to Social science = ${65}^{\circ }$

$⟹$Marks obtained in Social science =$\frac{540}{360}\times 65=97.5$

Angle made by the sector corresponding to English = ${55}^{\circ }$
$⟹$ Marks obtained in English =$\frac{540}{360}\times 55=82.5$

Hence, the marks scored in Social Science exceeds the marks scored in English by ( 97.5 - 82.5) = 15 marks.