Floor paving cost for a rectangular room\nThe length of a room is 5.5 m and the width is 3.75 m. Calculate the total cost of paving the entire floor with slabs at the rate of ₹800 per square metre. Give the final amount in rupees (₹).

Difficulty: Easy

Correct Answer: ₹16,500

Explanation:


Introduction / Context:
Questions on floor paving or tiling costs combine basic mensuration with a straightforward cost calculation. We first find the area of the surface and then multiply by the rate per unit area to obtain the total cost.


Given Data / Assumptions:

  • Length (L) = 5.5 m
  • Width (B) = 3.75 m
  • Rate = ₹800 per square metre
  • Entire floor is to be paved; no wastage considered unless stated.


Concept / Approach:
The cost = Area * Rate. For a rectangle, Area = L * B. Units must be consistent in square metres since the rate is per m^2.


Step-by-Step Solution:

Area = 5.5 * 3.75 = 20.625 m^2 Cost = 20.625 * 800 = 16,500


Verification / Alternative check:
Since 5.5 * 4 ≈ 22 and width is slightly less than 4 (3.75), the area should be slightly below 22, i.e., 20.625. Multiplying by 800 yields ₹16,500, which aligns with the calculation.


Why Other Options Are Wrong:
₹15,500, ₹17,500, and ₹18,500 do not match the exact area * rate computation. “None of these” is unnecessary since a matching option exists.


Common Pitfalls:
Mixing units or rounding too early (e.g., approximating 3.75 as 3.8) can lead to small yet decisive errors in cost. Always compute the exact area first.


Final Answer:
₹16,500

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