Explanation:

Divide rupee 25,000 between A, B and C
so, A + B + C = 25000.............(1)
A gets 7/8 of B
so, A = 7B/8
C gets 2/3 of A and B
so, C = (2/3) × (A+B)
C = (2/3) × ((7B/8)+B)
C = (2/3) × ((7B+8B)/8)
C = (2/3) × (15B/8)
C = 5B/4
substitute A and C in (1)
(7B/8) + B + (5B/4) = 25000
(7B + 8B + 10B)/8 = 25000
25B/8 = 25000
B = 25000 × (8/25)
B = 8000
A = (7 × 8000)/8
A = 7000
C = (5 × 8000)/4
C = 10000
A gets 7000, B gets 8000, C gets 10000