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The area occupied by 15 postal stamps is $60 c m^{2}$ . Find the area occupied by 120 such postal stamps.

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480 cm²

440 cm²

360 cm²

420 cm²

answer is A.

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Detailed Solution

Given the area occupied by 15 postal stamps is

60 c m^{2}

.
We need to find the area occupied by 120 such postal stamps.
Assume that area occupied by 120 postal stamps is

A

cm².
Hence the ratio of area occupied to number of stamps would be constant.
Equate the ratio of area 60 cm² and 15 stamps with ratio of area A cm² and stamps 120 to solve for A.

\frac{A}{120} = \frac{60}{15}

\frac{A}{120} = 4

A = 4 \times 120

A = 480

Area occupied by 120 postal stamps is 480 cm².
Hence, the correct option is 1.

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