A shopkeeper announces a discount scheme as follows: "For every purchase between Rs. 2000 to Rs.5000, get a 15% discount or a ticket that entitles him to get a 7% discount on a future purchase of more than Rs. 5000.” The customer, however, would have the option of redeeming his right to the shopkeeper at 4% of his initial purchase value. (Right refers to the 7% discount ticket). In response to the scheme, 10 people purchased goods worth Rs. 3000 each. Find the maximum possible earnings of the shopkeeper.

general knowledge math & puzzles

  1. Rs 28,800

  2. Rs 29,600

  3. Rs 29,400

  4. Rs 29,000

  5. None of these

Show answer
Correct Option: A

AI Explanation

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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