2 1 If Rs.510 be divided among A, B and C in such a way that A gets 3 of what B gets and B gets 4 of what C gets, then their shares are respectively.

Explanation

Let A's share be 'A', B's share be 'B' and C's share be 'C'. 2 A= 3 × B ⇒ A:B=2:3→ (1) 1 B= 4 × C ⇒ B:C=1:4→ (2) Multiplying equation(2) with 3 ⇒ B:C=3:12 →(3) Combining equation(1) and equation(3) ⇒ A:B:C=2:3:12. Total parts = 2+3+12=17 parts 17 parts →Rs.510 1 part →Rs.30 A's share → 2 parts → Rs.60 B's share → 3 parts → Rs.90 C's share → 12 parts → Rs.360