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.

What is the angle of the pie-diagram showing the expenditure incurred on paying royalty?

The correct option is 54°.

Step-by-step explanation:

From the given pie-chart, we can observe the percentage distribution of expenditure incurred under various heads for the preparation of a book:

- A-Paper: 20%
- B-Printing: 25%
- C-Binding: 30%
- D-Royalty: 15%
- E-Miscellaneous: 10%

We are asked to find the central angle corresponding to the expenditure incurred on paying Royalty (D-Royalty).

The total angle of a pie-chart (full circle) is 360°, which corresponds to a total percentage of 100%.

The formula to calculate the central angle for a given percentage is:

$\text{Central Angle}=\left(\frac{\text{Percentage of Expenditure}}{100}\right)\times 360°$

Substituting the percentage expenditure on Royalty (15%):

$\text{Central Angle}=\left(\frac{15}{100}\right)\times 360°$

$\text{Central Angle}=0.15\times 360°=54°$

Thus, the central angle of the pie-diagram showing the expenditure incurred on paying royalty is 54°.