Question : During a school excursion, each student of the junior school was charged Rs. 325 and each student of the 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, how many students from senior school went for the excursion?
Option 1: 55
Option 2: 45
Option 3: 50
Option 4: 40
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Correct Answer: 45
Solution :
Let the number of seniors be $x$.
The total amount of money charged from the juniors $=325 \times 80= 26000$
Total amount of money charged from all students $= 352 \times (80 + x)$
The total amount charged from the seniors $ =400 \times x$
So, $400 \times x + 26000 = 352 \times (80 + x)$
$⇒ 400x - 352x = 28160 - 26000$
$⇒ 48x = 2160$
$\therefore x = 45$
Hence, the correct answer is 45.
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