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 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

Ratio of $Rs.100,Rs.50$ and $Rs.10$ notes = $2:3:5$

Let the number of $Rs.100$ notes $=2x$

The number of $Rs.50$ notes $=3x$

The number of $Rs.10$ notes $=5x$

According to the question,

$2x\times 100+3x\times 50+5x\times 10=400000$

$200x+150x+50x=400000$

$400x=400000$

$x=1000$

Therefore,

The number of $Rs.100$ notes $=2x=2\times 1000=2000$

The number of $Rs.50$ notes $=3x=3\times 1000=3000$

The number of $Rs.10$ notes $=5x=5\times 1000=5000$

Hence, this is the required result.