Multiple choice

Ranjan purchased 120 tables at a price of Rs. 110 per table. He sold 30 tables at a profit of Rs. 12 per table and 75 tables at a profit of Rs. 14 per table. The remaining tables were sold at a loss of Rs. 7 per table. What is the average profit per table?

  1. Rs. 10.04

  2. Rs. 10.875

  3. Rs. 12.80

  4. Rs. 12.875
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total tables = 120. Cost = 120 * 110 = 13200. Profit 1 = 30 * 12 = 360. Profit 2 = 75 * 14 = 1050. Loss = (120 - 30 - 75) * 7 = 15 * 7 = 105. Net profit = 360 + 1050 - 105 = 1305. Average profit = 1305 / 120 = 10.875.

AI explanation

Using the net profit method, calculate the total profit and divide it by the total number of items. The total profit from the first batch is 30 tables times 12 rupees, which equals 360 rupees; the second batch yields 75 tables times 14 rupees, totaling 1050 rupees. The remaining 15 tables incur a loss of 7 rupees each, subtracting 105 rupees from the total, leaving a net profit of (360 + 1050 - 105) rupees, or 1305 rupees. Dividing this 1305 rupees by the 120 total tables gives an average profit of 10.875 rupees per table.

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