Question

The pie-chart given in the following represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the following:

(i) Total cost of the flat.
(ii) Expenditure incurred on labour.

Answer 1

(i) Expenditure incurred on cement  =

\[\frac{\text{ Central angle of the corresponding sector } \times\text{ Total cost }}{360^\circ}\]

Total cost of the flat = \[\frac{360^\circ \times 112500}{75^\circ} =\text{ Rs }540000\]

(ii) Expenditure incurred on labour = \[\frac{\text{ Central angle of labour sector }\times\text{ Total cost }}{360^\circ}\]\[= \frac{100^\circ \times 540000}{360^\circ} =\text{ Rs }150000\]