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.

What is the ratio among boys and girls for Non-medical?

The correct answer is 8 : 17.

Step 1: Identify total student statistics
Total number of enrolled students = 3,000
Total number of girls = 1,700
Total number of boys = 3,000 - 1,700 = 1,300

Step 2: Calculate total students opting for Non-Medical
As per the survey data, 25% of the total enrolled students opted for the Non-Medical stream.

$\text{Total Non-Medical Students}=25\%\times 3000$

$\text{Total Non-Medical Students}=\frac{25}{100}\times 3000=750$

Step 3: Calculate the number of girls in Non-Medical
The percentage of girls in Non-Medical is 30% of the total number of girls.

$\text{Girls in Non-Medical}=30\%\times 1700$

$\text{Girls in Non-Medical}=\frac{30}{100}\times 1700=510$

Step 4: Calculate the number of boys in Non-Medical
Subtract the number of girls from the total Non-Medical students:

$\text{Boys in Non-Medical}=\text{Total Non-Medical Students}-\text{Girls in Non-Medical}$

$\text{Boys in Non-Medical}=750-510=240$

Step 5: Compute the ratio of boys to girls in Non-Medical
We need to find the ratio among boys and girls (Boys : Girls):

$\text{Ratio}=\frac{\text{Boys in Non-Medical}}{\text{Girls in Non-Medical}}=\frac{240}{510}$

Simplifying the fraction by dividing both the numerator and denominator by 30:

$\text{Ratio}=\frac{8}{17}$

Therefore, the ratio of boys to girls in the Non-Medical stream is 8 : 17.