QB Issue Resolution:

In addition to what teach said

You do not shift income received to another type of account.  Income is deposited to the bank, and you pay the expense from the bank.   An expense is what you actually pay

what you charge the customer is income, (with the exception of a refundable deposit when received)

income is reduced by expense to get net taxable income on the P&L.

Resolution for Issue 'Would an account titled “Business Promotion” into which a percentage of the invoice amount would be allocated be an equity, income or expense account?' available: Yes (Solved).
Source: Intuit Community forum.

Would an account titled “Business Promotion” into which a percentage of the invoice amount would be allocated be an equity, income or expense account?: this issue or error code is a known issue in Quickbooks Online (QBO) and/or Quickbooks. Support for this issue is available either by self-service or paid support options. Experts are available to resolve your Quickbooks issue to ensure minimal downtime and continue running your business. First try to resolve the issue yourself by looking for a resolution described below. If it is a complex issue or you are unable to solve the issue, you may contact us by clicking here or by using other support options.

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