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P-1 Statistics — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Statistics3 Marks
MCQ
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 $75^\circ$ . What was the total expenditure of the construction?
  • ✓
    $2,16,000$
  • B
    $3,60,000$
  • C
    $4,50,00$
  • D
    $7,50,000$
✓

Answer

Correct option: A.
$2,16,000$
The pie diagram shows, the central angle for expenditure on cement $= 75^\circ$
Also, expenditure on cement $= Rs. 45,000$
We know that,
Central angle for expenditure on cement  $=\frac{\text { Expenditure on cement }}{\text { Total expenditure on the contruction }} \times 360^{\circ} $
$ \Rightarrow \text { Total expenditure on the construction }=\frac{\text { Expenditure on cement }}{\text { Central angle for expenditure on cement }} \times 360^{\circ} $
$ \Rightarrow \text { Total expenditure on the construction }=\frac{45000}{75^{\circ}} \times 360^{\circ}$
$\Rightarrow$ Total expenditure on the construction $= 216000$
Thus, the correct option is $(A).$

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