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GATE2018 CE-2: GA-6

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In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. $4900$ for a deviation of $7$ units, what would be the loss in Rupees for a deviation of $4$ units from the target?

  1. $400$
  2. $1200$
  3. $1600$
  4. $2800$
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Migrated from GO Civil 4 years ago by Arjun

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It is given that $4900 \propto 7^2 \propto 49\quad \to (1)$

If $x$ is the loss in Rupees for a deviation of $4$ units,

$x \propto 4^2 \propto 16\quad \to (2)$

$(2) \div (1) \implies x = \frac{16 \times 4900}{49} = 1600.$

Correct Option: C
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