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  • 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 numbe

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?

Option: 1

800


Option: 2

750


Option: 3

900


Option: 4

1400


Answers (1)

best_answer

To serve a customer with a preference for 500 rupee notes, the minimum number of notes required is 10. Thus, for 50 customers with this preference, we need 5\times10=500\: \mathrm{notes}

For customers with a preference for 100 rupee notes, we want to minimize the number of notes while maximizing the number of 500 rupee notes. One possible approach is to dispense 4000 rupees using 500 rupee notes (8 notes) and the remaining 1000 rupees using ten 100 rupee notes. In this case, we have a total of 8\times50=400\: \mathrm{notes} for 500 rupees and 10\times50=500\: \mathrm{notes}  for 100 rupees.

Thus, the total number of 500 rupee notes required is 400, and the total number of 100 rupee notes required is 500. Therefore, the total number of notes required is 400+500=900

Therefore, option 3 (900) is the correct answer.

 

 

 

Posted by

Shailly goel

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