Floor paving cost for a rectangular room The 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 (₹).
-
A₹16,500
-
B₹15,500
-
C₹17,500
-
D₹18,500
-
ENone of these
Answer
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 = 16,500Verification / 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