Question

Find the correct answer from the alternatives given.
Different expenditures incurred on the construction of a building were shown by a pie diagram. The expenditure Rs 45,000 on cement was shown by a sector of central angle of 75°. What was the total expenditure of the construction ?

 

Options

• 2,16,000

• 3,60,000

• 4,50,000

• 7,50,000

Answer 1

Central angle for expenditures incurred on the construction = 75°

\[\Rightarrow \frac{\text{ Expenditures on construction }}{\text{Total expenditures }} \times 360^\circ = 75^\circ\]
\[ \Rightarrow\text{ Total expenditures }= 45000 \times \frac{360^\circ}{75^\circ}\]
= Rs 216000