Carpeting a Rectangular Room — Cost from Width and Rate: Find the total cost of carpeting a room 8 m by 6 m with a carpet 0.75 m wide at ₹20 per metre (length charged by running metre).

Introduction / Context:When carpet is priced per running metre of a fixed width, the payable length equals floor area divided by carpet width. Multiplying this length by the per-metre rate yields the total cost. Unit consistency (metres) is crucial.

Given Data / Assumptions:

• Room: 8 m × 6 m ⇒ area = 48 m^2
• Carpet width = 0.75 m; priced at ₹20 per running metre
• No wastage assumed

Concept / Approach:Length of carpet required = area / width. Cost = (required length) * (rate per metre). Choosing orientation to minimize seams does not affect total length because width is fixed and coverage is full.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• ₹1300, ₹1440, ₹1500, ₹1750 arise from rounding or using width 0.8 or 0.7 m mistakenly.

Common Pitfalls:

• Mismatching metres and centimetres or pricing per square metre instead of per running metre.

Final Answer:₹ 1280.