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The price of 357 mangoes is Rs. 1517.25. What will be the approximate price of 49 dozens of such mangoes ?
Answer & Solution
Correct Answer:
Option
D
Let the required price be Rs. x
More mangoes, More price (Direct proportion)
$$\eqalign{ & \therefore 357:\left( {49 \times 12} \right)::1517.25:x \cr & \Leftrightarrow 357x = \left( {49 \times 12 \times 1517.25} \right) \cr & \Leftrightarrow x = \frac{{\left( {49 \times 12 \times 1517.25} \right)}}{{357}} \cr & \Leftrightarrow x = 2499 \cr} $$
Hence, the approximate price is Rs. 2500
More mangoes, More price (Direct proportion)
$$\eqalign{ & \therefore 357:\left( {49 \times 12} \right)::1517.25:x \cr & \Leftrightarrow 357x = \left( {49 \times 12 \times 1517.25} \right) \cr & \Leftrightarrow x = \frac{{\left( {49 \times 12 \times 1517.25} \right)}}{{357}} \cr & \Leftrightarrow x = 2499 \cr} $$
Hence, the approximate price is Rs. 2500
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