A sum of Tk. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is?

Question: A sum of Tk. 427 is to be divided among A, B and C in such a way that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal. The share of C is?

Solution:
Given total sum = Tk. 427
And given that 3 times A’s share, 4 times B’s share and 7 times C’s share are all equal.
Or, 3A = 4B = 7C

But given,
A + B + C = 427

Now, expressing A and B in terms of C,
(7C/3) + (7C/4) + C = 427
∴ C = 84