In a school there are 1500 students, 44% of them are girls. Monthly fee of each boy is Rs. 540 and the fee of each girl is 25% less than that of a boy. The sum of fees of boys and girls both is

Options

A. Rs.720600
B. Rs.72800
C. Rs.720900
D. Rs.72100

Answer

To solve the problem, we need to find the total fees collected from both boys and girls in the school. Here’s a step-by-step solution:

### Step 1: Calculate the number of girls.
Given that there are 1500 students and 44% of them are girls, we can calculate the number of girls as follows:

\[ \text{Number of girls} = 44\% \text{ of } 1500 = \frac{44}{100} \times 1500 = 660 \]

### Step 2: Calculate the number of boys.
To find the number of boys, we subtract the number of girls from the total number of students:

\[ \text{Number of boys} = 1500 - 660 = 840 \]

### Step 3: Calculate the fee for each girl.
The monthly fee for each boy is Rs. 540. The fee for each girl is 25% less than that of a boy. We can calculate the fee for each girl as follows:

\[ \text{Fee for each girl} = 540 - \left(25\% \text{ of } 540\right) = 540 - \left(\frac{25}{100} \times 540\right) = 540 - 135 = 405 \]

### Step 4: Calculate the total fees for boys.
Now, we can calculate the total fees collected from boys:

\[ \text{Total fees from boys} = \text{Number of boys} \times \text{Fee for each boy} = 840 \times 540 \]

Calculating this gives:

\[ \text{Total fees from boys} = 453600 \]

### Step 5: Calculate the total fees for girls.
Next, we calculate the total fees collected from girls:

\[ \text{Total fees from girls} = \text{Number of girls} \times \text{Fee for each girl} = 660 \times 405 \]

Calculating this gives:

\[ \text{Total fees from girls} = 267300 \]

### Step 6: Calculate the total fees from both boys and girls.
Finally, we add the total fees from boys and girls to find the overall total fees collected:

\[ \text{Total fees} = \text{Total fees from boys} + \text{Total fees from girls} = 453600 + 267300 \]

Calculating this gives:

\[ \text{Total fees} = 720900 \]

### Final Answer:
The sum of fees of boys and girls both is Rs. 720900.

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