a bag contains white, blue and red balls in the ratio 8:3:2. there are 10 red balls. If 10 white and 10 blue balls are removed from the bag, find the new ratio

If you have 10 red balls, you have blue balls in proportion 3:2, so you have 15 blue balls. Moreover, you have white balls in proportion 8:2=4:1, so you have 40 white balls.

Removing 10 white and blue balls causes you to have 30 white, 10 red and 5 blue balls.

Since 30=5*6 and 10=5*2, the new proportion of white, red and blue balls is 6:2:1.