CAT 2020 Quant Question [Slot 3] with Solution 07

Question

A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit of 15%. Then p is nearest to

  1. 31
  2. 22
  3. 35
  4. 25
Option: 4
Solution:

Let the CP and MP of each kg of sugar be 10x and 12x respectively.

Total cost price \( = 35 \times 10x = 350x\)

Total selling price \( = 35 \times 10 \times  \times 1.15 = 402.5x\)

Selling price already realized \( = 5 \times 12x + 15 \times 12x \times \) \(0.9 + 3 \times 0 + 12 \times 12x \times (1 + p/100) = 402.5x\)

\(60 + 162 + 0 + 144(1 + p/100) = 402.5\)

\(p = 25.34\%  \approx 25\% \)

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CAT 2020 Quant questions with Solutions