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Standard VI

Mathematics

Percentages

In a ground o...

Question

In a ground of 5000 sq. ft., only 3600 sq. ft. is allowed for construction. What percentage of the ground is allowed for construction?

72

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60

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42

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66

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Solution

The correct option is A $72$
Total ground area $= 5000$ sq. ft.
Area allowed for construction
$= 3600$ sq. ft.
$∴$ Fraction of the ground allowed for construction = $\frac{3600}{5000}$

= $\frac{18}{25}$

Note : $a$ % $= \frac{a}{100}$

So, $\frac{18}{25} = \frac{18 \times 4}{25 \times 4}$

$= \frac{72}{100}$

So, the percentage of ground allowed for construction $= 72$ %

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In a ground of 5000 sq. ft., only 3600 sq. ft. is allowed for construction. What percentage of the ground is allowed for construction?

The correct option is A 72Total ground area =5000 sq. ft. Area allowed for construction =3600 sq. ft. ∴ Fraction of the ground allowed for construction =36005000 = 1825 Note : a% =a100 So, 1825=18×425×4 =72100 So, the percentage of ground allowed for construction =72%