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

(A) 2,16,000 

(B) 3,60,000 

(C) 4,50,000 

(D) 7,50,000

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Best answer

Correct answer is

(A) 2,16,000

Measure of the central angle

\(=\frac{\text{Expenditure of cement}}{\text{Total expenditure}} \times 360^\circ\)

\(\therefore\) Total expenditure = \(\frac{45000 \times 360^\circ}{75^\circ}\) = Rs. 2,16,000

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