In restaurant Q, a total of 800 people visited. According to a new festival scheme, the average cashback for cash users who do not receive the 2\% cashback offer is Rs. 200 per person. Calculate the total amount of cashback given to those cash-paying customers who initially did not get the 2\% cashback.

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**Solution:**

1. From the given data for restaurant Q, the total number of people visiting is 800.

2. The percentage of people paying by cash in restaurant Q is 60\%.
   - Number of cash users = 60\% of 800 = $0.60 \times 800 = 480$.

3. Among cash users, 60\% get 2\% cashback.
   - Number of cash users getting 2\% cashback = 60\% of 480 = $0.60 \times 480 = 288$.

4. Therefore, the number of cash users who do not get 2\% cashback = Total cash users - cash users getting 2\% cashback = $480 - 288 = 192$.

5. The average cashback for these cash users who do not get 2\% cashback is Rs. 200 per person.

6. Total cashback given to these users = Number of such users $\times$ Average cashback per user = $192 \times 200 = 38400$.

**Answer:** Rs. 38400

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