Answer : Option B

Explanation :

The percentage of candidates passed to candidates enrolled can be determined for each institute as under:

(i) P = [ \( [\frac { \text{18% 0f 5700} } { \text{ 22% of 8550} } ]\) x 100 ]% = [ \(\frac { 18*5700 } { 2 2*8550} \) x 100]% = 54.55%

(ii) Q =[ \([\frac { \text{17% of 5700} } {\text{15% of 8550} } ]\) ] x 100 ]% =75.56%

(iii) R =[ [\(\frac { \text{ 13% of 5700} } { \text{10% of 8500}} ]\)] x 100 ]% =86.67%

(iv) S = [ \( [\frac { \text{ 16% of 5700}} { \text{ 17% 0f 8550} } \)] x 100]% =62.75%

(v) T = [ \([ \frac { \text{ 9% of 5700} } {\text{ 8% of 5550} } ]\) x100]% =75%

(vi) V = [ [\( \frac { \text{ 15% of 5700} } { \text{ 12% of 8550} } ]\)  x 100]% =83.33%

(vii) X = [ [ \( \frac {\text{12% of 5700} } { \text{ 16% of 8550}}\)] x 100]% =50%

Highest of these is 86.67% corresponding to institute R.