In a team there are 240 members (males and females). Two-third of them are males. Fifteen percent of males are graduates. Remaining males are non-graduates. Three-fourth of the females are graduates. Remaining females are non-graduates.
What is the difference between the number of females whos are non-graduates and the number of males who are graduates ?

Options

A. 2
B. 24
C. 4
D. 116

Explanation

To solve the problem step by step, we will calculate the number of males and females, their graduation status, and finally find the required difference.

### Step 1: Calculate the number of males and females in the team.
Given that there are 240 members in total and two-thirds of them are males:

\[ \text{Number of males} = \frac{2}{3} \times 240 = 160 \]

Now, to find the number of females:

\[ \text{Number of females} = 240 - 160 = 80 \]

### Step 2: Calculate the number of male graduates.
We know that 15% of the males are graduates. Therefore, we calculate:

\[ \text{Number of male graduates} = 15\% \text{ of } 160 = \frac{15}{100} \times 160 = 24 \]

### Step 3: Calculate the number of male non-graduates.
To find the number of non-graduate males, we subtract the number of graduates from the total number of males:

\[ \text{Number of male non-graduates} = 160 - 24 = 136 \]

### Step 4: Calculate the number of female graduates.
We know that three-fourths of the females are graduates. Therefore, we calculate:

\[ \text{Number of female graduates} = \frac{3}{4} \times 80 = 60 \]

### Step 5: Calculate the number of female non-graduates.
To find the number of non-graduate females, we subtract the number of graduates from the total number of females:

\[ \text{Number of female non-graduates} = 80 - 60 = 20 \]

### Step 6: Find the difference between the number of female non-graduates and male graduates.
Now, we need to find the difference between the number of female non-graduates and the number of male graduates:

\[ \text{Difference} = \text{Number of female non-graduates} - \text{Number of male graduates} = 20 - 24 = -4 \]

Thus, the final answer is:

\[ \text{The difference is } -4. \]