Question

Rs.$700$ is divided among A,B and C so that A receives half as much as B and B receives half as much as C. Then C's share is

• A. Rs.$200$
• B. Rs.$300$
• C. Rs.$400$
• D. Rs.$500$$

Answer 1

Answer: (C)

Let $C=x$
$\Rightarrow B=\frac{x}{2}$ [ Since, B receives half as much as C]
$\Rightarrow A=\frac{x}{2}\times \frac{1}{2}$ [ Since, A receives half as much as B]

$\Rightarrow A=\frac{x}{4}$
Now, $A:B:C=\frac{x}{4}:\frac{x}{2}:x$

$\Rightarrow A:B:C=\frac{1}{4}:\frac{1}{2}:1$

$\Rightarrow A:B:C=1:2:4$
Let evaluate C's share

$C=Rs.\frac{4}{7}\times 700$

$=Rs.400$

Therefore, C's share is $Rs.400$

Hence, Option $C$ is correct.