Price scaling (dozens): If 357 apples cost ₹1517.25, estimate the price of 49 dozens of similar apples (nearest sensible option).

Difficulty: Easy

Correct Answer: Rs. 2500

Explanation:


Introduction / Context:
Use the unitary method: find the unit price (per apple) from the given bundle, then multiply by the requested quantity (in dozens). Rounding to the nearest logical option is appropriate when the computed value sits between choices.


Given Data / Assumptions:

  • 357 apples cost ₹1517.25.
  • Required quantity = 49 dozens = 49 * 12 = 588 apples.


Concept / Approach:
Unit price p = total cost / number of apples. Then target cost = p * 588. Exact arithmetic shows a value extremely close to ₹2500, matching the best option.


Step-by-Step Solution:

Unit price = 1517.25 / 357 = 4.25 per apple (since 357 * 4.25 = 1517.25) Cost for 588 apples = 588 * 4.25 = (600 − 12) * 4.25 = 2550 − 51 = ₹2499 Nearest sensible option ≈ ₹2500


Verification / Alternative check:
Direct multiplication: 588 * 4 = 2352; plus 0.25 * 588 = 147 ⇒ 2352 + 147 = ₹2499; confirms the result.


Why Other Options Are Wrong:
₹2800 and ₹2900 overshoot by 300–400; ₹2400 undershoots by ~99; ₹2650 is still high vs exact ₹2499.


Common Pitfalls:
Converting dozens incorrectly or rounding the unit price before scaling to 588 apples, which can create larger errors.


Final Answer:
Rs. 2500

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