20 students of a college went to a hotel. 19 of them spent ₹175 each on their meal and the 20th student spent ₹19 more than the average of all the 20. Find the total money spent by them.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. Rs. 3520
Let the average money spent by 20 students be x
The sum of spent by 20 students = 20x
19 students spent Rs. 175 each
So, the spent of 19 students = 175 × 19 = Rs. 3325
20th student spent = x + 19
According to the question,
⇒ 20x = 3325 + x + 19
⇒ 19x = 3344
⇒ x = 176
Hence, the total spent = 176 × 20 = Rs. 3520