Question

Divide Rs.3,240 among A, B and C such that 3A = 4B = 6C
division is Rs.1,440; Rs.1,080 and Rs.720
If true then enter $1$ and if false then enter $0$

Answer 1

$3A=4B=6C$
$3A=4B=>\frac{A}{B}=\frac{4}{3}$
This means, $A:B=4:3$
$4B=6C=>\frac{B}{C}=\frac{6}{4}=\frac{3}{2}$
$=>B:C=3:2$
The value of B in $4:3$ is equal to the value of B in $3:2$
Therefore, $A:B:C=4:3:2$

Let the parts be $A=4x,B=3x,C=2x$

$=>4x+3x+2x=Rs3240$

$9x=Rs3240$

$x=Rs360$

$=>A=4\times Rs360=Rs1440$

$B=3\times Rs360=Rs1080$

$C=2\times Rs360=Rs720$