Question

Ratio of the amount of money with A and B is $3:5$ and that of A and C is $2:3$. Amount with B is Rs.$200$. What is the difference between the amounts with A and C?

Answer 1

Let amounts with$A$ & $B$ be $3x$ and $5x$

Let amounts with$A$&$C$ be $2y$and$3y$

$3x$$=2y$

$x=\frac{2}{3}y$

$5x$$=200$

$x$$=40$ $y$$=60$

Amount with $A$=$3x$=$Rs=120$

Amount with $B$=$5x$=$Rs=200$

Amount with $C$=$3y$=$Rs=180$