How debt simplification works

In a group of friends, everyone ends up owing someone. Most of those debts cancel out, and only a few payments are really needed.

A simple example

Asha owes Bikram 500. Bikram owes Chandra 500. Without simplification that is two payments. But Bikram is only passing the money along: Asha can pay Chandra 500 directly and Bikram is out of the loop. Two payments become one.

The idea: net balances

For each person, add up everything they are owed and subtract everything they owe. The result is their net balance. A positive balance means the group owes them money; a negative balance means they owe the group. The balances always add up to zero.

Matching debtors with creditors

Once everyone has a net balance, people who owe money pay people who are owed money until all balances reach zero. A group of n people never needs more than n minus 1 payments, however tangled the original debts were.

Why circular debts disappear

If A owes B, B owes C and C owes A the same amount, every net balance is zero and nobody needs to pay anyone. Simplification finds these cycles automatically.

What it does not do

Simplification changes who pays whom, not how much anyone owes overall. Your net position in the group stays exactly the same. बाँडफाँट only records the balances; you settle however you prefer and then mark the payment in the app.

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