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A crockery dealer prices every plate 30% above what it costs him, but under a running scheme he hands over one plate free with every ten a customer pays for. His profit percent on such a sale is:

Competition practiceRatio, Percentage & Commercial Math
  • A30
  • B20
  • C18.18
  • D9.09

Step-by-Step Solution

Let a plate cost him ₹100. To complete one scheme sale he parts with 11 plates, which cost him ₹1100, and he collects = ₹1300. Profit = ₹200 on an outlay of ₹1100 = 18.18%. (The 30% mark-up survives only if nothing is given away; treating the free plate as a flat 10% off and taking 30 − 10 = 20% mixes two different bases, and 1/11 = 9.09% is the share of the goods given away, not the profit.)
Answer: C) 18.18

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