A room is 13 m long and 7 m broad. Find the cost of carpeting the room with a carpet 75 cm broad at Rs.8.50 per metre.
(A) 453.33
(B) 1031.33
(C) 403 (D) none of these
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Length of room (l) = 13 m
Breadth of room (b)= 9 m
Breadth of carpet= 75 cm = 75/100= .75 m
[ 1 cm = 1/100]
Area of room = length × breadth
Area of room = 13×9 = 117 m²
Let Length of required carpet be x m
Area of carpet = x × .75= .75x m²
Area of carpet = area of room
.75x = 117
x = 117 /.75 = 11700/75= 156
Length of carpet = 156 m
Cost of carpeting 1 m = ₹ 65
Cost of carpeting 156 m = 156 × 65 = ₹ 10140
Hence, the cost of carpeting = ₹10140
Breadth of room (b)= 9 m
Breadth of carpet= 75 cm = 75/100= .75 m
[ 1 cm = 1/100]
Area of room = length × breadth
Area of room = 13×9 = 117 m²
Let Length of required carpet be x m
Area of carpet = x × .75= .75x m²
Area of carpet = area of room
.75x = 117
x = 117 /.75 = 11700/75= 156
Length of carpet = 156 m
Cost of carpeting 1 m = ₹ 65
Cost of carpeting 156 m = 156 × 65 = ₹ 10140
Hence, the cost of carpeting = ₹10140
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