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.

girls have outnumbered boys in Fine Arts. How many girls in Fine Arts are more than the boys, as a percentage of total number of boys in Fine Arts?

The correct option is 47.82%.

Let us break down the total data provided in the question to find the required values for the Fine Arts stream.

1. Total Students and Distribution of Girls and Boys:
Total number of students enrolled in 2020-21 = 3,000
Total number of girls = 1,700
Total number of boys = 1,300

2. Fine Arts Stream Calculations:
Total students who opted for Fine Arts = 19% of total students

$\text{Total students in Fine Arts}=\frac{19}{100}\times 3000=570$

Number of girls who opted for Fine Arts = 20% of total number of girls

$\text{Number of girls in Fine Arts}=\frac{20}{100}\times 1700=340$

Number of boys who opted for Fine Arts = Total students in Fine Arts - Number of girls in Fine Arts

$\text{Number of boys in Fine Arts}=570-340=230$

3. Difference and Required Percentage:
Difference between the number of girls and boys in Fine Arts:

$\text{Difference}=340-230=110$

We need to calculate how many girls in Fine Arts are more than the boys, as a percentage of the total number of boys in Fine Arts:

$\text{Required Percentage}=\left(\frac{\text{Difference}}{\text{Number of boys in Fine Arts}}\right)\times 100$

$\text{Required Percentage}=\left(\frac{110}{230}\right)\times 100=\frac{1100}{23}\approx 47.82\%$

Thus, the number of girls in Fine Arts is 47.82% more than the number of boys in Fine Arts.