Let's take x moles of NaBr, y moles of NaI and z moles of NaNO3
molar mass of
NaBr = 102.8
NaI = 149.8
NaNO3 = 84.9
AgBr = 187.7
AgI = 234.7
AgCl = 143.3
so,
Writing the mass balance initially
0.8612 = x*102.8 + y*149.8 + z*84.9 ------------(1)
Now the number of mole of Br- and I- will remain same as x and y, so we can write another mass balance
1.0816 = x*187.7 + y*234.7 -------------(2)
Now when the precipitate is converted into AgCl again the number of moles will be same and thus I have written another mass balance,
0.7125 = (x+y)*143.3 ------------(3)
Solving (2) and (3) for x and y we get
x = 1.816*10-3
y = 3.156*10-3
Puttin these values in (1) and solving for z we get
z = 2.376*10-3
or the mass of NaNO3 is 0.20gm
%w/w of NaNO3 will be = 0.2/0.8612*100 = 23.22% ANSWER