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ExamsSSC CGL (Prelims)General

A trader sells one variety of sugar at ₹36 per kg, incurring a 10% loss, and another variety at ₹48 per kg, incurring a 20% loss. If he mixes the two varieties in equal quantities and sells the mixture at ₹42 per kg, what is his overall profit or loss percentage?

  1. Loss of 16%
  2. Loss of 15%
  3. Profit of 12.5%
  4. Profit of 15%

Correct answer: Loss of 16%

Solution

If ₹36 is sold at 10% loss, its cost price is ₹40 per kg. If ₹48 is sold at 20% loss, its cost price is ₹60 per kg. Equal quantities give average cost price \((40+60)/2=₹50\) per kg, while selling price is ₹42 per kg, so loss = ₹8 on ₹50 = 16%.

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