In a college , 25% of male faculities are same in number of `1//3^(rd)` of the female faculities . What is the ratio of male faculty to female faculty in that college ?

Options

A. A)`4 : 3`
B. B)`3 : 4`
C. C)`2 : 3`
D. D)`3 :2`

Answer

To solve the problem, we need to find the ratio of male faculty (M) to female faculty (F) in the college based on the information given.

### Step-by-Step Solution:

1. **Understand the Given Information:**
We know that 25% of male faculties is equal to one-third of female faculties.

2. **Translate the Percentage into a Fraction:**
25% can be expressed as a fraction:
\[ 25\% = \frac{25}{100} = \frac{1}{4} \]

3. **Set Up the Equation:**
According to the problem, we can set up the equation:
\[ \frac{1}{4} \times M = \frac{1}{3} \times F \]

4. **Eliminate the Fractions:**
To eliminate the fractions, we can multiply both sides of the equation by 12 (the least common multiple of 4 and 3):
\[ 12 \times \left(\frac{1}{4} \times M\right) = 12 \times \left(\frac{1}{3} \times F\right) \]
This simplifies to:
\[ 3M = 4F \]

5. **Rearranging the Equation:**
We can rearrange this equation to express the ratio of male faculty to female faculty:
\[ \frac{M}{F} = \frac{4}{3} \]

6. **Conclusion:**
The ratio of male faculty to female faculty in the college is:
\[ M : F = 4 : 3 \]

### Final Answer:
The ratio of male faculty to female faculty is **4 : 3**.