Question

Share of A , B and C respectively , is ______ , if Rs.4340 is divided in $\frac{1}{2}:\frac{1}{3}:\frac{1}{5}$ .

• A. Rs.2100 , Rs.1400 , Rs.840
• B. Rs.1400 , Rs.2100 , Rs.840
• C. Rs.840, Rs.2100 , Rs.1400
• D. Rs.1400 , Rs.840, Rs.2100

Answer 1

The correct option is A Rs.2100 , Rs.1400 , Rs.840

$\Rightarrow$ Let the sharing amount is $Rs.x$

$\therefore$ $\frac{1}{2}x+\frac{1}{3}x+\frac{1}{5}x=4340$

$\Rightarrow$ $\frac{15x+10x+6x}{30}=4340$

$\Rightarrow$ $\frac{31x}{30}=4340$

$\Rightarrow$ $x=\frac{4340\times 30}{31}$

$\therefore$ $x=Rs.4200$

$\therefore$ $A^{\prime }s$ share = $\frac{1}{2}x=\frac{1}{2}\times 4200=Rs.2100$

$\therefore$ $B^{\prime }s$ share = $\frac{1}{3}x=\frac{1}{3}\times 4200=Rs.1400$

$\therefore$ $C^{\prime }s$ share = $\frac{1}{5}x=\frac{1}{5}\times 4200=Rs.840$