The given pie-diagram shows the expenditure incurred on the preparation of a book by a publisher, under various heads. Study the pie-diagram and answer the question that follows.
Various Expenditures (in percentage) incurred in Publishing a Book
Which two expenditure together will form an angle of 108° at the centre of the pie-diagram?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. A and E.
Going through the options,
I. A and D:
Central angle of the expenditure incurred by A and D = (20% + 15%)/100% × 360°
⇒ 360° × 35/100 = 126°
II. B and E:
Central angle of the expenditure incurred by B and E = (25% + 10%)/100% × 360°
⇒ 360° × 35/100 = 126°
III. D and E:
Central angle of the expenditure incurred by D and E = (15% + 10%)/100% × 360°
⇒ 360° × 25/100 = 90°
IV. A and E:
Central angle of the expenditure incurred by A and E = (20% + 10%)/100% × 360°
⇒ 360° × 30/100 = 108°