Question

Lakshmi is a cashier in a bank. She has currency notes of denominations $Rs.100,Rs.50$ and $Rs.10$ respectively. The ratio of 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

Let the number of notes of different denomination be $x$.
$\therefore$ Numbers of $Rs100$ notes, $50$ notes and $Rs10$ notes will be $2x,3x$ and $5x$ respectively.
Amount of $100$ Rs notes $\Rightarrow Rs100\times 2x=200x$
Amount of $50$ Rs notes $\Rightarrow Rs50\times 3x=150x$
Amount of $10$ Rs notes $\Rightarrow Rs10\times 5x=50x$
As per the question
Total amount $=400000$
$200x+150x+50x=400000$
$400x=400000,x=1000$
No of Rs $100$ notes $=2x=2\times 1000=2000$
No of Rs $50$ notes $=3x=3\times 1000=3000$
No of Rs $10$ notes $=5x=5\times 1000=5000$