KMnO4....+H2O2.....................>O2..+H2O......+Mn2+..............(i)..(Unbalenced form)
10 volume H2O2means that If 1 litre of H2O2 solution is taken tgen it will liberate 10 litre of O2.
So we should calculte the number of moles of H2O2 in 100ml of this solution.
H2O2................>H2O....+1/2O2.................(ii)
22.4 litre=1mole O2
10 litre=10/22.4 mole of O2
from ((ii), we can see that 1 mole of H2O2 will give ½ mole of O2
so for 10/22.4 mol O2 liberation, moles of H2O2 in the 1 litre solution must be 2*10/22.4 moles=Molarity of H2O2 solution.
[So we have molarity of the H2O2(moles of H2O2 per litre of solution)]
Now calculate moles of H2O2 in 100 ml of the solution=molarity*0.1
Now balence (i) by any of the method and then see how many moles of H2O2 is required for reacting with 1 mole of KMnO4 also, convert 8g into moles.
If you are getting any problem in balencing and further calculation in the % purity, you can post your doubt...