In manufacturing industries, loss is usually taken to be proportional to the square of the deviation from a target. If the loss is Rs. 400 for a deviation of 2 units, what would be the loss in Rupees for a deviation of 5 units from the target? A. 680 B. 1200 C. 2500 D. 1000

GATE 2018 · General Aptitude · Ratio Proportion · medium

Answer: Loss for deviation of 5 units = Rs. 2500 (Answer C)

1. Set up the proportionality law: Loss is proportional to the square of deviation: L = k * d^2.
2. Find k from the given data: k = 400 / 4 = 100 Rs per unit^2 of deviation
3. Compute loss for deviation of 5 units: L(5 units) = 100 x 25 = Rs. 2500