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 forget to bring their purses 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. So total how many friends were there in the Group?

To solve this question, the user needs to use basic arithmetic and algebraic concepts. The user must determine the number of friends in the group by setting up an equation based on the information given.

Let's assume that there were 'n' friends in the group, and each of them paid an equal amount of 'x' rupees for the dinner bill. Therefore, we can write the equation as:

nx = 2400

Since two friends forgot to bring their purses, the remaining (n-2) friends paid an extra Rs 100 each, so the new total amount becomes:

nx + 200 = 2400

Simplifying the above equation, we get:

nx = 2200

Dividing both sides of the equation by 'x', we get:

n = 2200/x

We know that 'n' is a positive integer. Therefore, to find the value of 'n', we need to find the factors of 2200 and check which factor yields a positive integer value of 'n'.

The factors of 2200 are: 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100, and 2200.

Dividing 2200 by each of these factors, we get:

2200/1 = 2200 2200/2 = 1100 2200/4 = 550 2200/5 = 440 2200/10 = 220 2200/11 = 200 (positive integer) 2200/20 = 110 2200/22 = 100 2200/25 = 88 2200/44 = 50 2200/50 = 44 2200/55 = 40 2200/100 = 22 2200/110 = 20 2200/220 = 10 2200/275 = 8 2200/550 = 4 2200/1100 = 2 2200/2200 = 1

So the only factor that yields a positive integer value of 'n' is 11. Therefore, there were 11 friends in the group.

Option (C) 8 and option (D) 9 are not factors of 2200, so they are incorrect.

Option (A) 6 and option (B) 7 are factors of 2400, not 2200. Therefore, they are incorrect.

The Answer is: C