What is the number of 500 rupee notes required to serve 50 customers with 500 rupee notes as their preferences and another 50 customers with 100 rupee notes as their preferences, if the total number of notes to be dispensed is the smallest possible?
Explanation:
In order to have the total number of notes to be dispensed is the smallest possible, notes of denomination Rs. 500 has to be maximum.
The ATM machine could have dispensed 10 notes of 500 rupee to the customers who gave 500 rupee notes as their preference.
Therefore, the number of 500 rupee notes required to serve these 50 customers = 10 × 50 = 500
The ATM machine could have dispensed 10 notes of 100 rupee and 8 notes of 500 rupee to the customers who gave 100 rupee notes as their preference.
Therefore, the number of 500 rupee notes required to serve these 50 customers = 8 × 50 = 400
Total number of 500 rupee notes required = 500 + 400 = 900
Hence, option (c).
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