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
- 31
- 22
- 35
- 25
Option: 4
Solution:
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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