Question

A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.

Answer 1

Given, total number of currency notes = 175

Let the total number of notes of ₹ 500 be x.

Then, total number of notes of ₹ 1000 = 175 – x

∵ Total amount which lady had = ₹ 100000  ...[Given]

According to the question,

500x + (175 – x)1000 = 100000

⇒ 500x + 175000 – 1000x = 100000

⇒ – 500x = 100000 – 175000

⇒ – 500x = – 75000

⇒ x = `-75000xx ((-1)/500)`

∴ x = 150

Therefore, total number of notes of ₹ 500 = 150

And total number of notes of ₹ 1000 = 175 – 150 = 25