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BECE Mathematics 2014 Paper

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Question : 21

Total: 40

The pie chart shows how Kwaku spends his monthly salary.

Use this information to answer the question below.

What percentage of his salary does he spend on rent and utilities?

$12.1\%$
$12.5\%$
$22.2\%$
$33.3\%$

Solution:

\;\;\text{ Percentage for a sector }\;=\;\frac{\text{ Angle of sector }}{360} \times 100\%

\;\;\text{ Angle of sector for rent and utilities }\;=80^{\circ}

\;\;\text{ Percentage for rent and utilities }\;=\;\frac{80}{360} \times 100\%=22.2\%

Note: The zeros cancel each other, 4 divides 8,2 times and 36,9 times. 2 multiplies the 100 and the 200 over 9 is simplified.

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