CAT 2020 Question Paper | Quants Slot 2

CAT Previous Year Paper | CAT Quants Questions | Question 11

Arithmetic part of the Quantitative Aptitude section of the CAT exam forms around fifty percent of the total questions in this section. This means that covering Arithmetic very thoroughly is crucial for your CAT preparation online. One of the fruitful ways of going about your preparation is solving the actual CAT previous year paper without having a look at the solutions. Gear up for the varying level of questions that the CAT Question Paper throws at you with CAT 2020 Question Paper. Solve one right away!
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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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