In restaurant P, there are 400 customers who use a debit card but do not receive any cashback. Based on this information, find the total number of customers who receive cashback in restaurant P.

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**Solution:**

1. According to the data for restaurant P, assume the total number of customers visiting is 100.

2. Out of these, 50% use debit cards, so debit card users = $50$.

3. Among debit card users, 50% get 10% cashback, so number of debit card users getting cashback = $50 	imes 0.5 = 25$.

4. Therefore, debit card users not getting cashback = $50 - 25 = 25$.

5. It is given that in the actual scenario, 400 customers are debit card users who do not get cashback.

6. Since 25 debit card users correspond to 25 no-cashback users, the scale factor is:
   $$400 = 25x \implies x = \frac{400}{25} = 16$$

7. Total debit card users = $50 	imes 16 = 800$.

8. Number of debit card users getting cashback = $25 	imes 16 = 400$.

9. Number of cash users = total customers - debit card users = $100 	imes 16 - 800 = 1600 - 800 = 800$.

10. Among cash users, 30% get 2% cashback, so cashback users paying by cash = $30\%$ of $800 = 0.3 	imes 800 = 240$.

11. Total customers getting cashback = debit card cashback users + cash cashback users = $400 + 240 = 640$.

**Answer:** $640$

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