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# 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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