The following table shows the data of different colleges whose students participated in the Olympiad.

Subjects College A College B College C College D College E
Hindi 110 100 125 103 112
English 98 120 80 122 105
Maths 130 110 250 160 180
Science 100 100 150 200 80
GK 182 200 120 130 183

What is the percentage increase in the number of students who participated in the GK Olympiad to those who participated in the Science Olympiad from all colleges? (Correct to two decimals places.)

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  1. 29.37%
  2. 29.89%
  3. 29.74%
  4. 29.01%

Answer (Detailed Solution Below)

Option 1 : 29.37%
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CALCULATION:

No. of students who participated in GK 

In college A = 182

In college B = 200 

In college C = 120

In college D = 130

In college E = 183 

Total number of students of GK in all the colleges = 182 + 200 + 120 + 130 + 183 = 815

No. of students who participated in Science

In college A = 100

In college B = 100

In college C = 150

In college D = 200

In college E = 80 

Total number of students in all colleges = 100 + 100 + 150 + 200 + 80 = 630 

Increase in students in gk than science = 815 - 630 = 185

Percentage increase = 185/630 × 100 = 29.365 ≈ 29.37% [ correct upto two decimal places]

Hence the percentage increase is 29.37% .

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