Question

3600 is divided among a,b and c if as share is 1/2 of bs share is 2/3 of cs share then what is the share of b

Answer 1

Solution: Let x be the share of c.

Therefore, b's share will be:$x=\frac{21600}{12} =1800$

$\frac{2}{3} x$

and a's share will be:

$\frac{1}{2} \times\frac{2}{3}x$

Therefore, we can write:

$\frac{1}{2} \times \frac{2}{3}x+\frac{2}{3}x+x=3600$

$\frac{2}{6}x+\frac{2}{3} x+x=3600$

$\frac{2x+4x}{6} +x=3600$

$\frac{6x+6x}{6} =3600$

$12x=3600 \times 6$

$x=\frac{21600}{12} =1800$

c's share is 1800

Hence b's share is $\frac{2}{3} \times 1800=1200$