Multiple choice

Padam purchased 30 kg of rice at the rate of Rs 17.50 per kg and another 30 kg rice at a certain rate He mixed the two and sold the entire quantity at the rate of Rs 18.60 per kg and made 20% overall profit At what price per kg did he purchased the lot of another 30 kg rice?

  1. Rs 12.50

  2. Rs 13.50

  3. Rs 14.50

  4. Rs 15.50

Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

By applying the profit percentage to the selling price, the overall cost price of the mixture is 18.60 divided by 1.20, which equals Rs 15.50 per kg. Using the method of alligation, the ratio of the quantities is 30 kg to 30 kg, meaning the price difference from the mean price is the same for both lots. This means the second lot price plus 15.50 equals 17.50 plus 15.50, so subtracting 15.50 from 17.50 reveals the second lot cost Rs 13.50 per kg.