Question

Kanchan spends $\frac{1}{2}$ of her money in one shop. she spends $\frac{1}{3}$ of what was left with her on rickshaw fair. At the end she has $Rs.20$ with her. How much did she have in the beginning

Answer 1

Let Kanchan have $Rs.A$ in the beginning.

Then,

She spends in the shop $=Rs.\frac{A}{2}$.

Afterwards $\frac{1}{3}of\frac{X}{2}$ is spent on rickshaw.

So, $(1-\frac{1}{3}{)}^{rd}$ of $\frac{X}{2}$ is what she is left with.

$\left(\frac{2}{3}\right)\times \frac{X}{2}$ is left with her after rickshaw fare.

$\frac{X}{3}=Rs.20$

So, she had $Rs.60$ in the beginning.