There are 48 students in a college gathering. The ratio of the number of boys to the number of girls in the gathering is 5 : 3. If the ratio of the boys to girls has to be made 6 : 5, then how many girls need to be added to the gathering, without changing the numbers of boys who are attending the gathering?

7

The correct answer is Option (3) → 7

Given:

• Total students = 48
• Ratio of boys : girls = 5 : 3

Step 1: Find number of boys and girls initially

Total ratio parts = 5 + 3 = 8

Each part = 48 ÷ 8 = 6

• Boys = 5 × 6 = 30
• Girls = 3 × 6 = 18

Step 2: New ratio required = 6 : 5

Number of boys remains 30

So,

$\frac{30}{\text{New girls}} = \frac{6}{5}$

$\text{New girls} = \frac{30 × 5}{6} = 25$

Step 3: Girls to be added

$25 - 18 = 7$