Question

Marks obtained by a student in diffferent subjects is represented by the pie chart given below.

If he scored 160 marks in Science, then what is the sum of the marks obtained in English, Mathematics and Social Science ?

• A. 450
• B. 420
• C. 520
• D. 555

Answer 1

The correct option is B 420

Note that the sector corresponding to an angle of ${80}^{\circ }$ equals 160 marks.
$⟹$ $1^{\circ }$ corresponds to $\frac{160}{80}$ = 2 marks

The angle of the sector corresponding to English measures ${55}^{\circ }.$
$⟹\text{Marks obtained in English}=55\times 2=110\text{marks}$

Similarly, the angle of the sector corresponding to Mathematics measures ${90}^{\circ }.$
$⟹\text{Marks obtained in Maths}=90\times 2=180\text{marks}$

And, the marks obtained in Social Science = $65\times 2=130\text{marks}$

Thus, the sum of marks obtained in English , Mathematics and Social Science = $110+180+130=420\text{marks}.$