Question

20 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.

• A. Rs. 3,490
• B. Rs. 3,540
• C. Rs. 3,520
• D. Rs. 3,500

Answer 1

Answer:

C. Rs. 3,520

Solution: Given: 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