All-in cost per thousand bricks: Cost of 7000 bricks is Rs 5740. Luggage/transport to the site costs Rs 805. What is the total cost per 1000 bricks (including transport)?
Correct Answer: Rs. 935
Introduction / Context:This is an average cost question: we combine purchase cost and transport cost to get a total, then convert to a per-1000 basis using the unitary method. Such problems appear frequently in procurement and construction cost estimation contexts.
Given Data / Assumptions:
- Material cost for 7000 bricks = Rs 5740
- Transport cost (luggage) = Rs 805
- Total bricks = 7000
Concept / Approach:Total cost = purchase + transport. Then, cost per thousand = (total cost / total bricks) * 1000. Because 7000 is a multiple of 1000, division is simple.
Step-by-Step Solution:
Total cost = 5740 + 805 = Rs 6545Per 1000 bricks = 6545 / 7 = Rs 935Verification / Alternative check:Reverse check: Rs 935 per thousand * 7 = Rs 6545 (matches total). The arithmetic is exact—no rounding needed.
Why Other Options Are Wrong:
- Rs. 900, Rs. 800, Rs. 750, Rs. 980: Do not equal 6545/7 exactly and reflect either under- or over-estimates.
Common Pitfalls:Forgetting to include the transport cost, or computing per 100 instead of per 1000. Always convert using the correct scaling factor matching the asked unit basis.
Final Answer:Rs. 935