Six persons went to a hotel to have their meals. Five of them spent ₹30 each on their meals. The sixth person spent ₹50 more than the average expenditure of all the six. What was the total money spent by all the persons?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ₹240.
Let the average expenditure of all six persons be x.
Then, sixth person spent = x + 50
Other five spent: 5 × 30 = ₹150
So, total expenditure = 150 + (x + 50)
Also, average = total / 6 ⇒
x = [150 + (x + 50)] / 6
⇒ x = (200 + x) / 6
Multiply both sides by 6:
6x = 200 + x
⇒ 6x - x = 200
⇒ 5x = 200
⇒ x = 40
Now total = 150 + (x + 50) = 150 + 90 = ₹240