Multiple choice

Trader professes to sell his goods at a loss of $8\%$ but uses a weight of $900$ grams in place of a $1kg$ weight. What is his real loss or gain percent?

  1. $2\%$ loss
  2. $2\%$ gain
  3. $2.22\%$ gain

  4. None of the above
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the cost price of 1g be 1 unit. He sells 900g for the price of 920g (8% loss on 1000g). Profit = (920 - 900) / 900 = 20/900 = 2/90 = 1/45 = 2.22%.

AI explanation

Assume the cost price of 1 kg is 100. The trader sells at an 8% loss, making the selling price 92 for the stated 1 kg weight. Because he uses only 900 grams, his actual cost is 90. Using the profit percentage formula, (92 minus 90) divided by 90 times 100 gives a gain of 2.22%.

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