Question

Rs. $750$ is divided among $A,B$ and $C$ in such a manner that $A:B=5:2$ and $B:C=7:13$. What is $A^{\prime }$s share?

• A. $Rs.350$
• B. $Rs.260$
• C. $Rs.140$
• D. $Rs.250$

Answer 1

The correct option is A $Rs.350$

Since, $A:B=5:2$ and $B:C=7:13$
$\therefore \frac{A}{B}=\frac{5}{2}$ and $\frac{B}{C}=\frac{7}{13}$
$\Rightarrow \frac{A}{B}=\frac{5}{2}\times \frac{7}{7}$ and $\frac{B}{C}=\frac{7}{13}\times \frac{2}{2}$
$\Rightarrow \frac{A}{B}=\frac{35}{14}$ and $\frac{B}{C}=\frac{14}{26}$
$\Rightarrow A:B:C=35:14:26$
Let $A^{\prime }s$ share $=35x$
$B^{\prime }s$ share $=14x$
$C^{\prime }s$ share $=26x$
$\therefore 35x+14x+26x=750$
$\Rightarrow 75x=750$
$\Rightarrow x=10$
$\Rightarrow A^{\prime }s$ share $=35x=35\times 10=350$
Option A is correct.