6 person went to a hotel for taking their meal. 5 of them spent ₹10 each on their meals and the 6th person spent ₹10 more then the average expenditure of all of them. What was the total money spent by all of them?
Answer & explanation
Correct answer: option 4
Divide the extra money paid by last person among first five:
i.e. \(\frac{10}{5}\) = 2 Rs. (to each)
Average expenditure = 10 + 2 = Rs. 12
Total money spent = 12 × 6 = Rs. 72
Alternate:
Let the average expenditure = A
Total expenditure of 5 person = 10 × 5 = 50
Expenditure of 6th person = A + 10
Total expenditure of all person = 6 × A = 6A
ATQ,
50 + (A + 10) = 6A
A + 60 = 6A
5A = 60
A = 12
Total expenditure = 12 × 6 = Rs. 72