a pharmacy adds 5ml of a stock solution into a 250 ml of water.

what is the percent v/v
my formula is used was
250/5=0.02
0.02x100=2%
is that a correct?

No, that is not correct. The calculation you did is finding the ratio of stock solution to water, not the percent v/v.

To find the percent v/v, you need to use the following formula:

(stock solution volume / total volume) x 100

In this case, the stock solution volume is 5 mL and the total volume is 250 mL + 5 mL = 255 mL.

(5 / 255) x 100 = 1.96%

So the percent v/v is approximately 1.96%.