Is it permissible to lie to the husband to conceal the wife's private money if the husband would stop working and expose the family to harm if he knew about this money?

If the money belongs to the wife, she has the right to conceal it from her husband. Lying is forbidden, but it is permissible for reconciliation, for a wife, and for every praiseworthy objective that cannot be achieved except through it. It is better to use equivocation (tawriyah).