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Question 11 : Anil buys 12 toys and labels each with the same selling price. He sells 8 toys initially at 20% discount on the labeled price. Then he sells the remaining 4 toys at an additional 25% discount on the discounted price. Thus, he gets a total of Rs 2112, and makes a 10% profit. With no discounts, his percentage of profit would have been

  1. 60
  2. 50
  3. 55
  4. 54

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Explanatory Answer

Let’s take Selling Price = P
= (8 × 0.8 P) + 4 × {0.8P - \\frac{1}{4}) (0.8)P}
= {(8 × 0.8 P) + 4 × (0.6P)}
Total Selling Price = 8.8 P
CP = \\frac{8.8P}{1.1}) = 8P (Since he makes 10% profit)
SP = 12P
So, Profit from 8P to 12P = \\frac{4P}{8P}) = 50%

The answer is, "50"

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