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A fruit seller sold a basket of fruits at 12.5% loss. Had he sold it for Rs. 108 more, he would have made a 10% gain. What is the loss in Rupees incurred by the fruit seller? A. 48 B. 52 C. 60 D. 108

GATE 2018 · General Aptitude · Profit Loss · medium

Answer: Loss = Rs. 60 (option C)

  1. Express both selling prices in terms of CP: SP_loss = CP * (1 - 12.5/100) = 0.875 * CP; SP_gain = CP * (1 + 10/100) = 1.10 * CP
  2. Set up equation from the price difference: 1.10 * CP - 0.875 * CP = 108 => 0.225 * CP = 108 => CP = 480
  3. Calculate the actual loss: Loss = 480 * 0.125 = Rs. 60