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?

• A. Rs. $100$ $\to 2000$ notes; Rs. $50\to 3000$ notes; Rs. $10\to 5000$ notes
• B. Rs. $100\to 1500$ notes; Rs. $50\to 2000$ notes; Rs. $10\to 3000$ notes
• C. Rs. $100\to 1000$ notes; Rs. $50\to 2500$ notes; Rs. $10\to 4000$ notes
• D. Rs. $100\to 3000$ notes; Rs. $50\to 2000$ notes; Rs. $10\to 4000$ notes

Answer 1

The correct option is A Rs. $100$ $\to 2000$ notes; Rs. $50\to 3000$ notes; Rs. $10\to 5000$ notes

Let the number of $100,50$ and $10$ Rs notes be $2x,3x,5x$.

Total cash $=$ Rs. $4,00,000$

$\therefore 2x\left(100\right)+3x\left(50\right)+5x\left(10\right)=4,00,000$

$200x+150x+50x=4,00,000$

$400x=4,00,000$

$\therefore x=1,000$

Noumber of Rs. $100$ notes $=2\times 1000=2000$

Number of Rs. $50$ notes $=3\times 1000=3000$

Number of Rs. $10$ notes $=5\times 1000=5000$