What is the maximum number of customers that the ATM can serve with a stock of fifty 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal?
10
16
12
13
The question asks what is the maximum number of customers that the ATM can serve with a stock of 50 500 rupee notes and a sufficient number of notes of other denominations, if all the customers are to be served with at most 20 notes per withdrawal.
The minimum number of 500 rupee notes required to serve a customer who has given 500 rupees as the preference is 8. However, if we dispense 500 rupee notes to as many customers as possible, we will run out of 500 rupee notes before we can serve 10 customers.
Therefore, we need to find the minimum number of 500 rupee notes that can be dispensed to a customer while still ensuring that the customer is served with at most 20 notes.
If we dispense 4 500 rupee notes, the minimum number of notes that we need to dispense to the customer is 19 (15 200 rupee notes and 4 500 rupee notes). This is the minimum number of notes that we need to dispense to a customer while still ensuring that the customer is served with at most 20 notes.
Therefore, we can serve a maximum of 12 customers with 50 500 rupee notes.