A
group of friends went for a dinner and got a bill of Rs 2400. They have decided
to

Solution follows here:

**contribute equally for the bill. But two of them could not contribute and to compensate that, rest all contributed Rs 100 more. How many are there in the group?**
(A) 6 (B)10 (C) 8 (D) 12

Solution follows here:

__Solution:__

Let there are ‘x’ members in the group.

If all those in the group contribute
equally, let the contribution per head be ‘m’.

=> m * x = 2400 ------(1)

But given, two of them could not contribute
and to compensate that, rest all contributed Rs 100 more. This means, (x-2)
contributed (m+100) each.

=> (m+100)
* (x-2) = 2400 ------(2)

Instead
of solving the two equations, we check for the given answer options one by one:

__Option (A)__, put x=6 in equation (1), 6m = 2400 => m = 400

put
x=6 in equation (2), (m+100)*4 = 2400 => m+100 = 600 => m = 500

both
are contradicting each other, hence Option (A) is wrong

__Option (B)__, put x=10 in equation (1), 10m = 2400 => m = 240

put
x=10 in equation (2), (m+100)*8 = 2400 => m+100 = 300 => m = 200

both
are contradicting each other, hence Option (B) is wrong

__Option (C)__, put x=8 in equation (1), 8m = 2400 =>

**m = 300**

put
x=8 in equation (2), (m+100)*6 = 2400 => m+100 = 400 =>

yes, both give same result, hence Option (C) is correct. Answer is **m = 300****Option (C)**

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