Rs. 169000 is divided among A, B and C such that A 's share is 6/7 of total share of B and C together and B's share is 4/9 of total share of A and C together. What is the share of C?
Solution:
As per question,
=> (6/7) × (B + C) = A
=> (B + C)/A = 7/6
Using componendo and dividendo method
=> (A + B + C)/A = 13/6 ---- (eq 1)
=> (4/9) × (A + C) = B
=> (A + C)/B = 9/4
=> (A + B + C)/B = 13/4 ---- (eq 2)
From (eq 1) and (eq 2) we get
=> A = 6, B = 4 and C = 13 - (6 + 4) = 3
=> A : B : C = 6 : 4 : 3
So, C's share = (169000/13) × 3 = 39000
∴ The correct answer is 39000.
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