Discussion
A shopkeeper sells goods at 30 % loss on cost price but gives 25 % less weight. What is his percentage loss?
Answer: D
The shopkeeper's loss is 6 2/3 per cent. Suppose he claims to sell 1 kg for its cost price of 100 rupees reduced by 30 %, that is 70 rupees, but he actually gives only 750 g. The goods he gives cost \[0.75 \times 100 = 75\] rupees and he receives 70 rupees, so the loss is 5 rupees on 75. \[\frac{5}{75} \times 100 = 6\frac{2}{3}\ \%\] The options 5 per cent, 5 1/3 per cent and 6 per cent come from subtracting the percentages (30 and 25) wrongly or using 100 instead of 75 as the base.
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