A sum of Tk. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is?

Question: A sum of Tk. 1360 has been divided among A, B and C such that A gets 2/3 of what B gets and B gets 1/4 of what C gets. B's share is?

Solution:
Given that,
Total amount = Tk. 1360
A gets 2/3 of what B gets ⇒ A = 2B/3
B gets 1/4 of what C gets ⇒ B = C/4 ⇒ C = 4B

ATQ,
A + B + C = 1360
⇒ (2B/3) + B + 4B = 1360
⇒ (2B + 3B + 12B)/3 = 1360
⇒ 17B/3 = 1360
⇒ B = (1360 × 3)/17
∴ B = 240

∴ B’s share = Tk. 240