BDT 385 has been divided among D. E. F in such a way that D receives 2/9 th of what E and F together receive. In this case D's share is:

Question: BDT 385 has been divided among D, E, F in such a way that D receives 2/9 th of what E and F together receive. In this case D's share is:

Solution:
Total amount = 385 BDT.
According to the question, D = 2/9 × (E + F)
⇒ 9D = 2(E + F)
⇒ E + F = 9D/2

We know that, D + E + F = 385
Substituting the value of (E + F):
⇒ D + 9D/2 = 385
⇒ (2D + 9D)/2 = 385
⇒ 11D/2 = 385
⇒ 11D = 385 × 2
⇒ D = 770/11
⇒ D = 70
∴ D's share is 70 BDT.

Correct Answer: গ) 70