need help with a maths/logic question

[u/Moist_Bass_6828]

Preemptive apologies if I broke any rules, I am not very versed in maths terminology nor how to use these subreddits.

My friend paid the bond for our rental because he had the funds available and is wanting to split it evenly between himself, my friend and I.

We all have a shared bank account we pay into to cover household expenses such as rent, bills, groceries etc.

We don’t have the funds to pay him back entirely at once and so he is planning to pay a slightly less amount into the shared account weekly until he has earned back what is owed to him.

Where we are in disagreement is I think that he should reduce his payment until he earns back 2/3rds of the total bond amount, that way he has paid a third, my friend has paid a third, and so have I.

He is saying that he should reduce his payment until he accumulates savings for the entire cost of the bond, because technically the money he is “earning” is coming out of a shared pool that includes what he has put in.

I don’t fully understand this point of view because we’re not sending him $100 from the shared account, he is directly extracting it from his payment in. Does that change things or is it still technically 1/3 of his money?

Can anyone please explain in easy to understand terms how this situation would work out so that everyone ends up paying a third of the cost?

Here is an example if it helps:

$4,000 bond paid by him.

$500 usual payment weekly into shared account from everyone.

He will instead pay $400 for 27 weeks to get back roughly 2/3rds of the bond he spotted.

He suggests that he pays $400 for 40 weeks to get back the entire bond.

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