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A room is 15 m long and 8 m wide. It is to be covered with a carpet 75 cm wide. What is the cost of the carpet at ₹90 per metre of its length?

Competition practiceMensuration
  • A₹14400
  • B₹10800
  • C₹8100
  • D₹144

Step-by-Step Solution

The floor is sq m. A carpet 0.75 m wide must run a length of 120/0.75 = 160 m to cover it, so the cost = = ₹14400. The trap ₹10800 applies the ₹90 rate to the 120 sq m of area, but the rate is per metre of LENGTH, not per square metre; ₹8100 multiplies by 0.75 instead of dividing; ₹144 reads the width as 75 m.
Answer: A) ₹14400

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