Question

Lakshmi is cashier in a bank. She has currency notes of denomination $Rs.100,Rs.50$ and $Rs.10$, respectively. The ratio of the number of these notes is $2:3:5$. The total cash with Lakshmi is $Rs.4,00,000$. How many notes of each denomination does she have?

Answer 1

The ratio of the notes is $2:3:5$

Let she have $2$ $\times$ $N$ number of $Rs100$ notes,

$3$ $\times$ $N$ number of $Rs50$ notes

and $5$ $\times$ $N$ number of $Rs10$ notes respectively.

Then the total value of the currency notes will be:

$2N\times Rs100+3N\times Rs50+5N\times Rs10=Rs4,00,000$

$\Rightarrow 200N+150N+50N=Rs4,00,000$

$\Rightarrow 400N=Rs4,00,000$
$\Rightarrow \frac{400N}{400}=Rs\frac{4,00,000}{400}$

$\Rightarrow N=1,000$

Hence, there are $2N=2,000$ notes of $Rs100$,

$3N=3,000$ notes of $Rs50$

and finally, $5N=5,000$ notes of $Rs10$.