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In manufacturing industries, the 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?

In manufacturing industries, the 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? Correct Answer 1600

Given, loss ∝ (deviation)2

⇒ loss = k (deviation)2

If loss = Rs 4900; deviation = 7 units

4900 = k (7)2

k = 100

For deviation = 4 unit

loss = k (4)2 = 100 × 42

= 1600

∴ The loss for a deviation of 4 units from the target is Rs. 1600

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