Study the following pie-chart carefully and answer the given question. The pie-chart represents the marks obtained by Sanya in different subjects in class 12. Total marks scored by her in class 12 was 450.
If the total central angles corresponding to the pair of subjects (Physics and Hindi), (Chemistry and Physics) and (Hindi and Chemistry) were 156°, 144° and 140°, respectively, then find the total marks obtained by her in (English and Biology).
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 175.
According to the given pie-chart,
Angle corresponding to Physics and Hindi, (P + H) = 156° ..(i)
Angle corresponding to Chemistry and Physics, (C + P) = 144° ...(ii)
Angle corresponding to Hindi and Chemistry, (H + C) = 140° ....(iii)
Adding all the equations (i), (ii) and (iii) together,
⇒ 2(P + H + C) = 440°
⇒ P + H + C = 220°
Now, angle corresponding to English and Biology = 360° - 220°
⇒ 140°
Given that, total marks obtained by Sanya = 450
⇒ 360° = 450
⇒ 1° = 450/360°
⇒ 140° = (450/360°) × 140°
⇒ 175