Question

If the number of students with Mechanical specialisation in each institute increased by 20%, and the number of students with Electronics specialisation in each institute decreased by 15% from 2012 to 2013, the total number of students with Mechanical from all the institutes in 2013 is approximately what percent of the total number of students with Electronics specialisation from all the institutes in 2013?

• A. 122
• B. 116
• C. 162
• D. 132
• E. 178

Answer 1

The correct option is E 178

Total number of studetns with Mechanical specialisation in 2013,
$=\frac{280\times 120}{100}+\frac{360+120}{100}+\frac{200\times 120}{100}+\frac{260\times 120}{100}+\frac{320\times 120}{100}+\frac{320\times 120}{100}+\frac{380\times 120}{100}$
$=336+432+240+312+384+384+456=2544$
Total number of students with Electronics specialisation in 2013,
$=\frac{220\times 85}{100}+\frac{240\times 85}{100}+\frac{320\times 85}{100}+\frac{140\times 85}{100}+\frac{280\times 85}{100}+\frac{200\times 85}{100}+\frac{280\times 85}{100}$
$=187+204+272+119+238+170+238=1428$
$\therefore$ Required percent,
$=\frac{2544}{1428}\times 100=178.15=178\%$