In a school there are 1500 students. Of these, 44 percent are girls. The monthly fee of each boy is Rs 540 and the monthly fee of each girl is 25 percent less than that of a boy. What is the total monthly fee collected from all the students together?

Introduction / Context:

This percentage and arithmetic question tests your ability to work with percentages, unit costs, and total sums. It mirrors real life situations where a school or institution collects different fees from different groups of students.

Given Data / Assumptions:

• Total number of students = 1500.
• Percentage of girls = 44 percent.
• Monthly fee per boy = Rs 540.
• Monthly fee per girl is 25 percent less than the fee of a boy.
• We need the total monthly fee collected from all students.

Concept / Approach:

First find the number of girls by applying the percentage to the total. Then find the number of boys by subtracting the number of girls from the total. Next, compute the fee for a girl using the given discount percentage. Finally, multiply by the respective numbers of boys and girls and add the two totals.

Step-by-Step Solution:

Verification / Alternative check:

You can redo the multiplication or break it into smaller parts for a sanity check. For example, 840 * 500 = 420000 and 840 * 40 = 33600, which together give 453600. Similarly, 660 * 400 = 264000 and 660 * 5 = 3300, summing to 267300. Adding both totals again confirms Rs 720900.

Why Other Options Are Wrong:

Values like Rs 720600, Rs 720800, and Rs 721000 are very close but correspond to small arithmetic mistakes in multiplication or addition. Rs 700000 is too low and clearly does not match the correct detailed calculation.

Common Pitfalls:

Common errors include calculating the number of girls incorrectly (for example taking 44 percent of 1000 instead of 1500) or miscomputing the 25 percent reduction. It is also easy to misplace a zero during multiplication with large numbers.

Final Answer:

The total monthly fee collected from all students is Rs 720900.