A, B and C enter into a partnership. A invests some amount at the beginning, B invests double the amount of A after 6 months and C invests thrice the amount of A after 8 months. If the annual profit be ₹ 54000, find the C's share.

₹ 3000
₹ 18000
₹ 15000
₹ 21000

Correct Answer: ₹ 18000

Explanation:

Let investment of A = N,
Investment of B = 2N,
Investment of C = 3N,
∴ A's share : B's share : C's share
= (N x 12) : (2N x 6) : (3N x 4)
= 12N : 12N : 12N
= 1 : 1 : 1
∴ C's share = [1/(1 + 1 + 1)] x 54000
= (1/3) x 54000 = ₹ 18000

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