Approximate cost via unitary method: If 3 dozen mangoes cost Rs 245, estimate (approximately) the cost of 363 mangoes.

Difficulty: Medium

Correct Answer: Rs. 2400

Explanation:


Introduction / Context:
We are given a price for 3 dozen (36) mangoes and asked to find the approximate cost for 363 mangoes. The unitary method (finding cost per item) then scaling up to the target quantity is the standard approach. Because the answer choices are round, a small rounding is acceptable.


Given Data / Assumptions:

  • 36 mangoes cost Rs 245
  • Target quantity = 363 mangoes
  • Approximate answer acceptable; choose the nearest among options


Concept / Approach:
Compute cost per mango as 245/36 and then multiply by 363. Keep a few decimals to avoid drift. Finally, compare with the options and choose the closest figure.


Step-by-Step Solution:

Cost per mango ≈ 245 / 36 ≈ 6.8056Estimated cost for 363 ≈ 6.8056 * 363Breakdown: 6.8056*(300 + 60 + 3) ≈ 2041.68 + 408.336 + 20.417 ≈ 2470.433


Verification / Alternative check:
Rounding per mango to 6.81 gives 6.81*363 ≈ 2473. Best nearby options are Rs 2400 (difference ≈ 70) and Rs 2600 (difference ≈ 130). Rs 2400 is closer.


Why Other Options Are Wrong:

  • Rs. 2000, Rs. 2200: underestimate the computed total by over 200.
  • Rs. 2600: overshoots by ~130.
  • Rs. 2300: still further than Rs. 2400 from the estimate.


Common Pitfalls:
Forgetting that 3 dozen = 36 (not 24) or mixing up the per-dozen price with per-piece price. Keep consistent units throughout to avoid large percentage errors.


Final Answer:
Rs. 2400

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