Scaling up from a given batch price: If 357 mangoes cost Rs 1517.25, what is the approximate cost of 49 dozen (588) mangoes?

Difficulty: Easy

Correct Answer: Rs. 2500

Explanation:


Introduction / Context:
We are given a total price for a specific count of mangoes and asked to estimate the price for another, larger count. The key is to find a clean per-item price and then scale. Conveniently, the numbers here divide exactly, minimizing rounding error.


Given Data / Assumptions:

  • 357 mangoes cost Rs 1517.25
  • Target = 49 dozen = 49 * 12 = 588 mangoes
  • Choose the closest option to the calculated amount


Concept / Approach:
Unitary method: find price per mango, then multiply by 588. Since 1517.25/357 simplifies nicely, we get an exact per-item price and, hence, an exact scaled total before rounding to the nearest option.


Step-by-Step Solution:

Cost per mango = 1517.25 / 357 = 4.25Cost for 588 mangoes = 588 * 4.25 = 588 * (4 + 0.25) = 2352 + 147 = 2499


Verification / Alternative check:
Since the computed amount is Rs 2499 exactly, the nearest option is Rs 2500 (difference Rs 1). Other options are substantially further away, so rounding sensibly selects Rs 2500.


Why Other Options Are Wrong:

  • Rs. 2600, Rs. 3000: overestimates by 101 and 501 respectively.
  • Rs. 2200, Rs. 2400: underestimate by 299 and 99 respectively.


Common Pitfalls:
Forgetting that 49 dozen = 588 or attempting to compute per dozen directly without first confirming the per-unit price. The clean 4.25 per mango makes scaling straightforward.


Final Answer:
Rs. 2500

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