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A, B, C, D and E start a partnership firm. Capital contributed by A is three times that contributed by D. E contributes half of A’s contribution, B contributes one-third of E’s contribution and C contributes two-third of A’s contribution. If the difference between the combined shares of A, D and E and the combined shares of B and C in the total profit of the firm is ₹ 13,500, what is the combined share of B, C and E? (The shares are supposed to be proportional to the contributions)

[CDS-I 2018 Elementary Maths(PYSP)]
A
B
C
D