Question

Rs $770$ have to be divided among A, B and C such that A receives 2/9th of what B and C together receive. Then A's share is

• A. Rs $140$
• B. Rs $154$
• C. Rs $165$
• D. Rs $170$

Answer 1

The correct option is A Rs $140$

Let, B and C together receives $Rs.x$

$\therefore$ A's share $=\frac{2}{9}x$

A.T.Q,

$x+\frac{2}{9}x=770$

$⟹\frac{9x+2x}{9}=770$

$⟹11x=770\times 9$

$⟹x=\frac{770\times 9}{11}=630$

A's Share $=\frac{2}{9}\times 630=140$