Was the question what is the VaR allocation of each manager or the capital allocation of each manager so that total VaR of 3 portfolios should not exceed 100 -> the VaR budget? Because if the latter, then 100/(0.1*2.33)=429 (which was answer D) and then 429/3=143, which was answer B (I think). Or I may be talking nonsense..
I think we both fall into the same mistake by considering the 10% as the portfolio std whilst we need to calculate the portfolio std sqrt of 10^2 +10%^2.
This is a problem with FRM questions they are asking about too many things some with many tricks in one questions