Multiple choice

A trader purchases 70 kg of tea at Rs. 15 per kg and 30 kg of tea at Rs. 18.50 per kg. If the packing charges are 2%, then at what price he must sell the mixture of two to gain 15%?

  1. Rs.18.83 per kg

  2. Rs.18 per kg

  3. Rs.18.50 per kg

  4. Rs.17.80 per kg
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total cost = (70 * 15) + (30 * 18.5) = 1050 + 555 = 1605. Packing charges 2% = 0.02 * 1605 = 32.1. Total cost = 1637.1. To gain 15%, sell at 1637.1 * 1.15 = 1882.665. Price per kg = 1882.665 / 100 = 18.82665, approx 18.83.

AI explanation

The total cost for 100 kg of tea is 70 times 15 plus 30 times 18.50, which equals 1605 rupees. Adding the 2 percent packing charges brings the total cost to 1637.1 rupees, making the base cost price per kilogram 16.371 rupees. To gain a 15 percent profit, the selling price is 115 percent of 16.371, which equals 18.83 rupees per kg.

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