As per a survey conducted in a college out of total students enrolled i.e., 3,000 in 2020-21, 1,700 were girls and 1,300 were boys. Data regarding students opting for various streams viz., Non-Medical, Medical, Commerce, Arts and Fine Arts showed that 25% of the enrolled students opted non-medical and the percentage of girls in Non-Medical was 30% of the total number of girls; 15% of the total students opted for Medical and the percentage of girls who opted Medical was 18% of the total number of girls; 25% of the total students opted Arts but the percentage of girls who opted for Arts was 15% of the total number of girls; 16% of the total students opted Commerce and the percentage of girls who opted Commerce was 17% of the total number of girls, and; 19% of the total students opted Fine Arts and the percentage of girls who opted Fine Arts was 20% of the total number of girls.

Which of the following courses have been opted by maximum number of boys?

The correct option is Arts.

Step-by-Step Breakdown:

1. Understand the Total Given Values:

Total students enrolled in 2020-21 = 3,000

Total number of girls = 1,700

Total number of boys = 1,300

2. Calculate Students and Girls for Each Stream:

• Non-Medical:

Total students in Non-Medical = 25% of 3,000

$=\frac{25}{100}\times 3000=750$

Girls in Non-Medical = 30% of 1,700

$=\frac{30}{100}\times 1700=510$

Boys in Non-Medical = Total Non-Medical students - Girls in Non-Medical

$=750-510=240$

• Medical:

Total students in Medical = 15% of 3,000

$=\frac{15}{100}\times 3000=450$

Girls in Medical = 18% of 1,700

$=\frac{18}{100}\times 1700=306$

Boys in Medical = Total Medical students - Girls in Medical

$=450-306=144$

• Arts:

Total students in Arts = 25% of 3,000

$=\frac{25}{100}\times 3000=750$

Girls in Arts = 15% of 1,700

$=\frac{15}{100}\times 1700=255$

Boys in Arts = Total Arts students - Girls in Arts

$=750-255=495$

• Commerce:

Total students in Commerce = 16% of 3,000

$=\frac{16}{100}\times 3000=480$

Girls in Commerce = 17% of 1,700

$=\frac{17}{100}\times 1700=289$

Boys in Commerce = Total Commerce students - Girls in Commerce

$=480-289=191$

• Fine Arts:

Total students in Fine Arts = 19% of 3,000

$=\frac{19}{100}\times 3000=570$

Girls in Fine Arts = 20% of 1,700

$=\frac{20}{100}\times 1700=340$

Boys in Fine Arts = Total Fine Arts students - Girls in Fine Arts

$=570-340=230$

3. Comparison of Boys in Each Stream:

• Non-Medical: 240 boys

• Medical: 144 boys

• Arts: 495 boys

• Commerce: 191 boys

• Fine Arts: 230 boys

Thus, the maximum number of boys opted for Arts (495 boys).