The given pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. What is the central angle of the sector corresponding to the expenditure incurred on binding?

Correct — A. Rule: a pie chart's full circle is 360°, so a sector's angle is its percentage × 360 ⁄ 100 — that is 3.6° for every percentage point.

The chart labels the binding slice 23%.

23 × 3.6 = 82.8° → option (a)

Sanity check on the chart: 25 + 23 + 20 + 17 + 15 = 100%, so no sector has been left out of the drawing.

Why the others are wrong

• (b)
  48.8° — 48.8° answers no label on the chart — 48.8 ⁄ 3.6 is about 13.6%, and nothing reads 13.6. The nearest slice is royalty at 15%, which would be 54°.
• (c)
  78.8° — 78.8° is near enough to 82.8 to slip past a hurried multiplication, but it corresponds to about 21.9%. Binding is labelled 23%, and 23 × 3.6 is 82.8.
• (d)
  61.8° — 61.8° is roughly the transport cost slice, labelled 17% and worth 61.2°. Landing here means reading the wrong sector of the pie, not applying the wrong formula.

A pie chart converts share into angle at a fixed exchange rate: 100% = 360°, so 1% = 3.6°.

That is the entire computation, and it needs nothing else. The rupee total of the expenditure, if the question gives one, is irrelevant to an angle — it only matters when the question asks for an amount.

The reverse conversion is just as common: divide a given angle by 3.6 to recover the percentage, then apply it to the total.

Key facts

• A full pie chart is 360°, so one percentage point is 3.6°.
• Binding is labelled 23%, giving 23 × 3.6 = 82.8°.
• The five sectors sum to 100%: paper 25, binding 23, printing 20, transport 17, royalty 15.
• A central angle needs only the percentage, never the absolute total.

Common traps

• Reading a neighbouring slice's label when the pie is drawn small
• Multiplying by 100 rather than 360 and reporting the percentage as the angle
• Dragging the total expenditure into a question that asks only for an angle

No directly related past PYQ was found.