Multiple choice

A group of 9 men went to a hotel, 8 of them spent Rs. 3 each and the ninth spent Rs. 2 more than the average of the other eight. What was the total amount spent by them?

  1. Rs. 24

  2. Rs. 27

  3. Rs. 29

  4. Rs. 30

  5. Rs. 26
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let S be the total sum. Average of 8 men = (S - x)/8, where x is the 9th man's spend. x = (S - x)/8 + 2. 8 men spent 3 each, so sum of 8 = 24. x = 24/8 + 2 = 3 + 2 = 5. Total = 24 + 5 = 29.

AI explanation

Let the average expenditure of all 9 men be x, making the total expenditure 9x. The total amount spent by the first 8 men is Rs. 24, so the ninth man spent Rs. 24 plus 2, which is Rs. 26. The equation for the total amount becomes 9x equals 24 plus 26, which simplifies to 9x equals 50. Solving for the total expenditure 9x gives Rs. 29, meaning the total amount spent by all the men was Rs. 29.

Keep practicing — related questions