Question

For every 2 boy students there are 3 girl students and for every 4 male teacher there are 5 female teachers. If the ratio of number of teachers to the number of students is 1:10, then which of the following is the ratio of the number of boy students to the number of male teachers?

• A. 36:5
• B. 27:2
• C. 9:1
• D. 54:5

Answer 1

The Correct Option is C

Ratio of Boy Students to Male Teachers 

Step 1: Let the total number of students be \( 10x \) and the total number of teachers be \( x \).

The number of boy students is:

\[ \frac{2}{5} \times 10x = 4x \]

The number of girl students is:

\[ \frac{3}{5} \times 10x = 6x \]

The number of male teachers is:

\[ \frac{4}{9} \times x = \frac{4x}{9} \]

The number of female teachers is:

\[ \frac{5}{9} \times x = \frac{5x}{9} \]

Step 2: The ratio of the number of boy students to the number of male teachers is:

\[ \frac{4x}{\frac{4x}{9}} = 9:1 \]

Conclusion: The required ratio is 9:1.