Eight persons went to a restaurant for lunch. Seven of them spent ₹80 each on their meals, while the eighth person spent ₹70 more than the average expenditure of all eight persons. What was the total amount spent by all the individuals?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e ₹720.
Let the average expenditure of all 8 persons be ₹x.
7 persons spent ₹80 each → 7 × 80 = ₹560
8th person spent ₹70 more than average → ₹(x + 70)
Total expenditure of all 8 = 560 + (x + 70)
But total expenditure is also equal to average × 8 = 8x
So:
560 + x + 70 = 8x ⇒ 630 + x = 8x ⇒ 630 = 7x ⇒ x = 90
Total amount spent = 8 × 90 = ₹720