An ATM dispenses exactly Rs. $5000$ per withdrawal using $100, 200$ and $500$ rupee notes. The ATM requires every customer to give her preference for one of the three denominations of notes. It then dispenses notes such that the number of notes of the customer’s preferred denomination exceeds the total number of notes of other denominations dispensed to her.
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?
- $10$
- $16$
- $12$
- $13$