To answer this question, let's consider the given information and go through each option:

Option A) M does not play with N - This option is not necessarily true. The given information doesn't specify whether M and N play against each other or not. So, this option cannot be determined from the given information.

Option B) N wins over M - This option is not necessarily true. The given information doesn't provide any information about the outcome of the match between N and M. So, this option cannot be determined from the given information.

Option C) M wins over N - This option is correct. The ranking list is in alphabetical order, which means that M is ranked higher than N. Since everyone played with every other player exactly once and no two players scored the same score, M must have won the match against N to have a higher rank.

Option D) The match must be a draw - This option is incorrect. The given information explicitly states that none of the matches ended in a draw. Therefore, the match between M and N cannot be a draw.

Option E) Can't say - This option is incorrect. Based on the given information, we can determine that M wins over N.

Therefore, the correct answer is option C) M wins over N. This option is correct because the ranking list is in alphabetical order, and M is ranked higher than N, indicating that M must have won the match against N.

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To find the maximum possible earnings of the shopkeeper, we need to consider the different scenarios and calculate the earnings for each option.

Let's analyze the given discount scheme and the options available to the customer:

1) For every purchase between Rs. 2000 and Rs. 5000, the customer can choose either a 15% discount or a ticket that entitles them to a 7% discount on a future purchase of more than Rs. 5000. 2) The customer also has the option to redeem their right to the shopkeeper at 4% of their initial purchase value.

Now, let's calculate the earnings for each option:

Option 1: 15% discount For each customer who chooses the 15% discount, the shopkeeper earns 15% of the purchase value.

Option 2: 7% discount ticket For each customer who chooses the 7% discount ticket, the shopkeeper does not earn anything immediately. However, if the customer makes a future purchase of more than Rs. 5000, the shopkeeper will earn 7% of the purchase value.

Option 3: Redeeming the right to the shopkeeper For each customer who chooses to redeem their right to the shopkeeper, the shopkeeper earns 4% of the initial purchase value.

Now, let's calculate the earnings for each scenario:

Option 1: 15% discount For each customer who chooses the 15% discount, the shopkeeper earns 15% of the purchase value. Earnings per customer = 15% of Rs. 3000 = Rs. 450 Total earnings for 10 customers = Rs. 450 * 10 = Rs. 4500

Option 2: 7% discount ticket For each customer who chooses the 7% discount ticket, the shopkeeper does not earn anything immediately. However, if the customer makes a future purchase of more than Rs. 5000, the shopkeeper will earn 7% of the purchase value. Since the customers have made a purchase of Rs. 3000 each, which is less than Rs. 5000, the shopkeeper does not earn anything from this option.

Option 3: Redeeming the right to the shopkeeper For each customer who chooses to redeem their right to the shopkeeper, the shopkeeper earns 4% of the initial purchase value. Earnings per customer = 4% of Rs. 3000 = Rs. 120 Total earnings for 10 customers = Rs. 120 * 10 = Rs. 1200

Now, let's calculate the maximum possible earnings of the shopkeeper by considering all the options:

Maximum possible earnings = Earnings from Option 1 + Earnings from Option 2 + Earnings from Option 3 = Rs. 4500 + Rs. 0 + Rs. 1200 = Rs. 5700

Therefore, the maximum possible earnings of the shopkeeper is Rs. 5700.

Since none of the given options matches the calculated maximum earnings, the correct answer is "None of these."

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To find the reduced price of oranges per kg, we will follow these steps:

Step 1: Let's assume the original price of oranges per kg is x. Step 2: The price of oranges after the reduction is (100 - 33.33)% of x, which is (66.67/100) * x. Step 3: Atul can buy 3 kgs more apples for Rs.99. This means that the price of 3 kgs of apples is Rs.99. Step 4: The price of 1 kg of apples is Rs.99/3. Step 5: Since Atul can buy 3 kgs more apples with the same amount, the price of apples has not changed. Step 6: Therefore, (66.67/100) * x = Rs.99/3. Step 7: Solving for x, we get x = (Rs.99/3) * (100/66.67). Step 8: Simplifying, we get x = Rs. 49.50. Step 9: The reduced price of oranges per kg is Rs.49.50.

Therefore, the correct answer is option B) Rs. 11.

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