Bulk-cost estimation — bananas price scaling If 1/4 dozen bananas cost Rs 2.35, estimate the total cost of 42 dozen bananas (approximate).

Introduction / Context:This is an approximation problem using proportional scaling from a known small batch price (quarter dozen) to a large batch (dozens). You must convert between units consistently and round sensibly.

Given Data / Assumptions:

• 1/4 dozen = 3 bananas cost Rs 2.35.
• We need the approximate cost for 42 dozen bananas.
• Assume constant unit price per banana.

Concept / Approach:Find the per-banana price, compute the number of bananas in 42 dozen, multiply, and round to a nearby option. Approximation is acceptable as asked.

Step-by-Step Solution:1/4 dozen = 3 bananas → per banana price = 2.35 / 3 ≈ 0.7833.42 dozen = 42 × 12 = 504 bananas.Total cost ≈ 504 × 0.7833 ≈ 395.0.Approximate to nearest option: ≈ Rs 400.

Verification / Alternative check:Scale in two steps: 1 dozen = 4 × (1/4 dozen) ⇒ 1 dozen ≈ 4 × 2.35 = 9.40. For 42 dozen: 42 × 9.40 = 394.8 ≈ 395 (same conclusion).

Why Other Options Are Wrong:Rs 430 and Rs 460 are too high; Rs 380 is low; Rs 540 is far from proportional scaling.

Common Pitfalls:Confusing 1/4 dozen with 1 banana, or forgetting 1 dozen = 12 pieces. Also, not rounding correctly to the nearest plausible option.

Final Answer:Rs 400