Question

$Rs.2430$ are distributed among three persons so that their shares be diminished by $Rs.5,Rs.10$ and $Rs.15$ respectively, the remainder shall be in the ratio $3:4:5.$ The share of $C$ is

• A. $Rs.1015$
• B. $Rs.605$
• C. $Rs.810$
• D. $Rs.1415$

Answer 1

The correct option is A $Rs.1015$

Let $Rs.2430$ be divided among three persons with their shares as $x,y$ and $z$ respectively so that $x+y+z=2430$
Given, $x-5:y-10:z-15=3:4:5$
$\Rightarrow x-5=3k,y-10=4k$ and $z-15=5k$
$\Rightarrow x=3k+5,y=4k+10$ and $z=5k+15$
$\therefore 3k+5+4k+10+5k+15=2430$
$\Rightarrow 12k+30=2430\Rightarrow 12k=2400\Rightarrow k=200$
$\therefore$ C's share $=z=5k+15=5\times 200+15=Rs.1015$