Finding the component value of PNP transistor
Vbe is a range of voltages depending on the transistor type, its current and on its part number. A transistor type is germanium (Vbe= 0.2V - 0.4V) or silicon (Vbe= 0.6V - 0.75V).
Your circuit has a transistor with no part number so you cannot lookup its range of Vbe.

You assumed a beta of 100 which is wrong because it is also a range that could be from 20 to 600. Its datasheet would show its range of beta.