Cost one: the assessment
The first cost arrives immediately, and it is people's time. Under the PDPA, the PDPC's Guide on Managing and Notifying Data Breaches says that once an organisation has credible grounds to believe a data breach has occurred, it must take reasonable and expeditious steps to assess whether the breach is notifiable, within 30 calendar days, and must document the steps it takes.
For a small business, that means senior people stopping their normal work to establish what happened, which documents or systems were involved, whose personal data was affected and how many people. If you use outside IT support, they bill for the investigation. If you need legal advice on whether the breach is notifiable, that is another bill.
How long this takes depends almost entirely on your records. If you can see exactly who accessed which files and when, the assessment is a matter of reading the log. If documents travelled as email attachments and through shared links, it becomes a reconstruction exercise.