Multiple choice

A shopkeeper sells Jowar at a price 22.22% higher than what he buys it for. However, on the purchase of 10 kg or more, he offers a kg of Jowar free, and on the purchase of 20 kg or more, he offers 2 kg of Jowar free. On a particular day, he has 6 customers who purchase 8 kg, 14 kg,15 kg, 9 kg, 25 kg, and 46 kg. Find the percentage profit earned by the shopkeeper on that day.

  1. 16%

  2. 18%

  3. 14%

  4. 22%
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A Correct answer
Explanation

Selling price is 1.2222 * Cost. Let cost of 1kg be 1. Total cost for 6 customers: 8+14+15+9+25+46 = 117kg. Total revenue: 8*1.2222 + 13*1.2222 + 14*1.2222 + 9*1.2222 + 23*1.2222 + 44*1.2222 = (8+13+14+9+23+44) * 1.2222 = 111 * 1.2222 = 135.66. Profit = (135.66 - 117) / 117 = 18.66 / 117 = 0.159... approx 16%.

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