The price of 357 mangoes is ₹ 1517.25. What will be the approximate price of 49 dozens of such mangoes?
Aptitude
Unitary Method
Difficulty: Medium
Choose an option
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A₹ 3000
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B₹ 3500
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C₹ 4000
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D₹ 2500
Answer
Correct Answer: ₹ 2500
Explanation
### Concept & Unitary Method
To find the price of a given quantity, calculate the price of a single unit and multiply it by the total required quantity. Since the question asks for an approximate value, you can simplify the final calculation.
### Step-by-Step Solution
* Given: The price of 357 mangoes is ₹ 1517.25.
* Price of 1 mango = $\frac{1517.25}{357}$ = ₹ 4.25.
* Quantity required = 49 dozens = $49 \times 12 = 588$ mangoes.
* Total price = $588 \times 4.25 = 2499$.
* The approximate price is ₹ 2500.
### Exam Strategy & Shortcut
Instead of exact division, notice that $1517.25 \approx 1500$ and $357 \approx 350$. The price per mango is roughly slightly more than ₹ 4. $49 \times 12 \approx 50 \times 12 = 600$ mangoes. $600 \times 4 = 2400$. Since actual values ($4.25$ and $588$) are close, 2500 is the most logical approximation from the options without full calculation.
### Common Pitfall
Forgetting to convert 49 "dozens" into individual units (multiplying by 12) before multiplying by the cost of one mango.
### Final Answer
Therefore, the correct answer is **₹ 2500**.