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

Difficulty: Easy

Correct Answer: Rs 2500

Explanation:


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

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