A certain sum is divided among A, B, C and D such that B's share is \(\frac{1}{3}\) of A's share, C's share is 40% of B's share. and D's share is 50% of C's share. If the difference between the shares of B and D is Rs. 1,600, then the sum is:
1
₹ 9,600
2
₹ 9,400
3
₹ 9,000
4
₹ 9,200