Multiple choice

The average cost of 10 items is Rs. 32. After buying one more item, average cost is increased by Rs. 4. Calculate the cost of 11th item.

  1. 76

  2. 74

  3. 72

  4. 65
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A Correct answer
Explanation

Sum of 10 items = 10 * 32 = 320. New average = 32 + 4 = 36. Sum of 11 items = 11 * 36 = 396. Cost of 11th item = 396 - 320 = 76.

AI explanation

Using the basic average formula, the total cost of the first 10 items is 10 multiplied by 32, which equals Rs. 320. The new total cost for 11 items becomes 11 multiplied by the new average of 36, giving Rs. 396. The cost of the 11th item is the difference between these totals, so 396 minus 320 equals Rs. 76.

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