The correct option is B R
The percentage of candidates passed to candidates enrolled can be determined for each institute as under:
(i) P=[(18%of570022%of8550)×100]%=[18×570022×8550×100]%=54.55%
(ii) Q=[(17%of570015%of8550)×100]%=75.56%
(iii) R=[(13%of570010%of8550)×100]%=86.67%
(iv) S=[(16%of570017%of8550)×100]%=62.75%
(v) T=[(9%of57008%of8550)×100]%=75%
(vi) V=[(15%of570012%of8550)×100]%=83.33%
(vii) X=[(12%of570016%of8550)×100]%=50%
Highest of these is 86.67% corresponding to institute R.