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Q.

If two cardboard boxes occupy $1000 c m^{3}$ space, then how much space is required to keep 200 such boxes?

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a

100000 cm³

b

10000 cm³

c

200000 cm³

d

20000 cm³

answer is A.

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Detailed Solution

Given that if two cardboard boxes occupy

1000 c m^{3}

space.
We need to find then how much space is required to keep 200 such boxes.
Assume that space occupied by 200 boxes is x cm³.
Understand that space occupied by boxes is in direction proportion with number of boxes and hence the ratio of space occupied and number of boxes would be constant.
Equate ratio of 1000 and 2 with ratio of x and 200 to solve for x.

\frac{x}{200} = \frac{1000}{2}

x = \frac{1000 \times 200}{2}

x = 1000 \times 100

x = 100000

The space occupied by 200 boxes is 100000 cm³.
Hence, the correct option is 1.

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