Question

Ruchi and Sindhu went shopping. Sindhu had twice the amount of money as Ruchi. Ruchi shopped for utilities worth $Rs.60$ and Sindhu spent $Rs.210$. Now both of them have the same amount of money left. how much money did each one have at the beginning?

Answer 1

Let money Ruchi has be $Rs.x$
Sindhu has money be $Rs.2x$

Now, amount spent by Ruchi for shopping is $Rs.60$.

$\Rightarrow$ remaining amount with Ruchi $=Rs.(x-60)$.

Amount spent by Sindhu for shopping is $Rs.210$.

$\Rightarrow$ remaining amount with Sindhu $=Rs.(2x-210)$.

It is given that, after shopping, both of them have the same amount.
$\Rightarrow 2x-210=x-60$

$\Rightarrow 2x-x=210-60$

$\Rightarrow x=150$

$\Rightarrow 2x=2\times 150=300$
Therefore, at the beginning,

Ruchi had $Rs.150$ and Sindhu had $Rs.300$.