Rate scaling — mangoes bulk estimation If 357 mangoes cost Rs 1517.25, approximate the total price for 49 dozen mangoes.

Introduction / Context:Bulk price estimation questions require converting quantities and applying a constant unit rate. Here, we estimate the price for dozens given a total cost for a different count.

Given Data / Assumptions:

• 357 mangoes cost Rs 1517.25.
• Need cost for 49 dozen = 49 × 12 = 588 mangoes.
• Assume uniform price per mango.

Concept / Approach:Find price per mango, then scale up to 588 mangoes, and round to the nearest available option as it is an approximate calculation.

Step-by-Step Solution:Per mango cost = 1517.25 / 357 = 4.25 exactly (since 357 × 4.25 = 1517.25).Quantity needed = 49 dozen = 588 mangoes.Total cost = 588 × 4.25 = 2499.0 ≈ Rs 2500.

Verification / Alternative check:Compute 4.25 × 600 = 2550; subtract 4.25 × 12 = 51; gives 2499 (same approximation).

Why Other Options Are Wrong:Rs 2600 and Rs 3000 are too high; Rs 2200 is too low; Rs 2700 also overshoots.

Common Pitfalls:Incorrect dozen conversion (1 dozen = 12) or rounding prematurely before multiplying by 588 can distort the result.

Final Answer:Rs 2500