Is what the questioner is doing unlawful, given that she works alone in her father's shop repairing household appliances, and her father gives her a percentage of the profit, but she does not record all the profits, only a portion of them, so that her father does not share with her in the remainder?

It is not permissible to conceal any of your earnings from your father. You are only entitled to what you both agreed upon regarding the profit distribution, based on the permissibility of making the wage a percentage of the earnings from work. If you have taken anything in excess of your share of the profit, you must return it.