Question
Download Solution PDF20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total students = 20
19 students spent = 175 each
Formula used:
Average cost = Total cost/total number of person
Calculation:
Let the 20th student spend = X
According to the question:
⇒ (19 × 175 + X)/20 = X - 19
⇒ (3325 + X) = 20 × (X - 19)
⇒ 3325 + X = 20X - 380
⇒ 19X = 3325 + 380 = 3705
⇒ X = 3705/19 = Rs.195
Total money spent at hotel = (19 × 175) + 195
⇒ 3325 + 195 = Rs.3520
∴ The correct answer is Rs.3520.
Alternate Method
Total Student = 20
Let Avg spend by 20 students = y
Total spend = 20y
⇒ 20y = 19 × 175 + (y + 19)
⇒ 19y = 3344
⇒ y = 176
Total spend = 20 × 176
∴ Total money spent by them is Rs. 3520
Last updated on Jul 21, 2025
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