Multiple choice general knowledge math & puzzles

A group of friends went to a hotel for Dinner. After having their dinner the Bill Amount was of Rs 2400. So they decided to distribute it into equal amount for each. In the group two friends forgot to bring their purse along with them. So later on it has been decided that Rs 100 has to be paid more by the other friends on calculated amount. How many friends were there in the Group?

  1. 8

  2. 6

  3. 10

  4. 12
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let n be total friends. Each pays 2400/n normally. When 2 don't pay, (n-2) friends pay (2400/n + 100). So (n-2)(2400/n + 100) = 2400. Solving gives n = 8. Original share = Rs 300, those paying paid Rs 400 each.

AI explanation

Let n be the total number of friends; the original per-head share is 2400/n. When 2 friends don't pay, the remaining (n-2) friends split the bill, each paying 2400/(n-2), which is Rs.100 more than before. Solving 2400/(n-2) - 2400/n = 100 gives n^2 - 2n - 48 = 0, which factors to (n-8)(n+6)=0, so n = 8 friends.

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