Scaled carpet order and cost comparison An initial carpet has breadth 6 m and length 1.44 times the breadth. A second carpet has its length increased by 40% and breadth increased by 25% over the first. If cost is ₹45 per m², what is the cost of the.

Question

Solve this multiple-choice question and choose the correct option.

Curioustab · Accepted Answer

Introduction / Context:This involves proportional scaling of dimensions followed by area and cost computation. Percentage increases act as multiplicative factors on the original dimensions. Given Data / Assumptions: Original breadth B = 6 m; original length L = 1.44 * 6 = 8.64 m New length = 1.4 * 8.64 = 12.096 m New breadth = 1.25 * 6 = 7.5 m Rate = ₹45 per m^2 Concept / Approach:Compute new area and multiply by rate to obtain the total cost. Step-by-Step Solution: Area(new) = 12.096 * 7.5 = 90.72 m^2 Cost = 90.72 * 45 = ₹4,082.40 Verification / Alternative check:Original area = 8.64 * 6 = 51.84 m^2. Scale factors 1.4 and 1.25 multiply area by 1.4 * 1.25 = 1.75, and 51.84 * 1.75 = 90.72 (consistent). Why Other Options Are Wrong:The other amounts do not align with the precise area scaling and rate multiplication. Common Pitfalls:Adding percentages instead of multiplying scale factors, or applying the rate to a single dimension instead of the area. Final Answer:₹4,082.40

Scaled carpet order and cost comparison An initial carpet has breadth 6 m and length 1.44 times the breadth. A second carpet has its length increased by 40% and breadth increased by 25% over the first. If cost is ₹45 per m², what is the cost of the second carpet?

Answer

Explanation