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

• A. 31
• B. 22
• C. 35
• D. 25

Answer 1

Answer: (D)

25

Answer 2

The correct answer is (D): $25$

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

Total cost price = $35×10x = 350x$

Total selling price = $35×10××1.15 = 402.5x$

Selling price already realized = $5×12x+15×12x×0.9+3×0+12×12x×\bigg(1+\frac{p}{100}\bigg)=402.5x$

$60+162+0+144\bigg(1+\frac{p}{100}\bigg)=402.5$

$p=25.34\%≈25\%$