Question

Nimra went to a bank to withdraw ₹2,000. She asked the cashier to give her ₹50 and ₹100 notes only and she got 30 notes in all. How many notes of ₹50 and ₹100 respectively that she received?

• A. 20, 10
• B. 15, 15
• C. 10, 20
• D. None of these

Answer 1

The Correct Option is A

Let:

• x be the number of 50 notes
• y be the number of 100 notes

We can set up a system of two equations:

1. Total Amount: 50x + 100y = 2000
2. Total Notes: x + y = 30

From equation (2), we can express x in terms of y:

x = 30 - y

Substitute this value of x into equation (1):

50(30 - y) + 100y = 2000

1500 - 50y + 100y = 2000

50y = 500

y = 10

Now substitute y = 10 back into x = 30 - y:

x = 30 - 10

x = 20

Nimra received 20 notes of 50 and 10 notes of 100.