Hi. I need to sort out some concepts and terminology. I was wondering if there are algorithms and terminology surrounding the following situation.(adsbygoogle = window.adsbygoogle || []).push({});

Lets say I want to buy some object for an amount of money, but the object cost less than the amount of money I have. I will have a remainder of money. Lets say that this purchase on it's own is inefficient, but, once I make more money, keep coming back and buying the same object, eventually I will be able to buy a final object at just with the accumulated remainders of money. I simply delayed making an efficient use of my money till later.

I know that I need just solve for 'x' to find out how many purchases it takes to use the saved up money in:

x*remainder = object price

Then I can also find out how much non-remainder money I had to burn to begin with in order to get the "freebie".

Sooooo, my question is if anyone knows some terminology that explains this scenario or can name concepts in science or finance ...etc. that they see this analysis being used. I simply like putting words onto my math :)

Thank you.

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# When sum of remainders becomes divisible

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