Question

Sameer changed $\text{Rs.}200$ into $\text{Rs.}5,\text{Rs.}20$ and $\text{Rs.}50$ notes. If the number of $\text{Rs.}5$ notes was double the number of $\text{Rs.}20$ notes, and the $\text{Rs.}50$ notes were one-fifth the $\text{Rs.}20$ notes, how many notes of each denomination did he get?

Answer 1

Sameer change $\text{Rs 200}$ into $\text{Rs 5, Rs 20,}$ & $\text{Rs 50}$ notes.

Let number of $\text{Rs}20$ notes be $x$

according to question

number of $\text{Rs}5$ notes $=2x$

number of $\text{Rs}50$ notes $=\frac{x}{5}$

then $5\left(2x\right)+20\left(x\right)+\frac{x\left(50\right)}{5}=200$

$⟹10x+20x+10x=200$

$⟹40x=200$

$⟹x=5$

then number of $\text{Rs}5$ notes $=10$

then number of $\text{Rs}20$ notes $=5$

then number of $\text{Rs}50$ notes $=1$