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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.
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Solution
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
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