Question

Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.

Answer 1

Let the number of ₹ 50 notes and ₹ 100 notes be x and y respectively

According to the given information,

x + y = 25   ...(1)

50x + 100y = 2000   ...(2)

Multiply equation (1) by 50 we obtain

50x + 50y = 1250   ...(3)

Subtracting equation (3) from equation (2), we obtain

50y = 750

y = 15

Substituting in equation (1), we have x = 10

Hence, Rehana has 10 notes of ₹ 50 and 15 notes of ₹ 100.