A sum of money was to be shared among 3 persons A, B and C in the ratio 2:3:8, If C receives $120 more than B, find the sum of money shared.

C:B = 3:8 = 3k:8k

8k = 3k + 120 ... 5k = 120 ... k = 24

total sum shared ... 2k + 3k + 8k = 13k = 13 * 24 = ?