During a school excursion each student of junior school was charged Rs 325 and each students of senior school was charged Rs 400. If there were 80 students from junior school and the combined average amount charged per student was Rs 352, then how many students from senior school went for the excursion?
This questions was previously asked in
ssc cgl 2023 pre
Explanation:
- Each junior school student was charged Rs 325.
- Each senior school student was charged Rs 400.
- 80 students from the junior school participated.
- Combined average charged per student was Rs 352.
Let's calculate:
1. Total charge for 80 junior students:
80 * 325 = Rs 26,000.
2. Let the number of senior students be `x`.
Total charge for senior students = 400 * `x`.
3. Total students = 80 + `x`.
4. Total amount charged = 26,000 + 400 * `x`.
5. Average = \(\frac{{26,000 + 400x}}{{80 + x}}\).
6. Given average of Rs 352:
\[
\frac{{26,000 + 400x}}{{80 + x}} = 352
\]
Solve for `x`:
\[
26,000 + 400x = 352(80 + x)
\]
\[
26,000 + 400x = 28,160 + 352x
\]
\[
48x = 2,160
\]
\[
x = 45
\]
- Option 2: 45 is the correct answer.
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By: Parvesh Mehta