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Question

The length of a room is $$15\,m.$$ the cost of carpeting it with a carpet $$75\,cm$$ wide at $$Rs.50$$ per meter is $$Rs.6000.$$ The width of the room is

A
$$6 \,m$$
B
$$8 \,m$$
C
$$18\,m$$
D
$$13.4\,m$$
Solution
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Correct option is A. $$6 \,m$$
Because,
From the question,
Total cost of carpenting $$ = Rs. 6000$$
Rate of carpenting $$= Rs. 50$$ per meter
Then,
Length of the carpet $$= (6000 / 50) = 120 \,m$$
$$\therefore$$ Area of the carpet $$= (120 \times (75 / 100)) = 90 \,m^2$$
Area of the floor = Area of the carpet $$= 90 \,m^2$$
Hence, the width of the room = (Area / length)
$$= (90 / 15)$$
$$= 6 \,m$$

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