Question:
A lady went to a bank with Rs 1,00,000. She asked the cashier to give her rs 500 and Rs 1000 currency notes in return.She got 175 currency notes in all. Find the number of each kind of currency notes
Answer:
Let the number of notes of 500 and 1000 rupees are x and y respectively.
Given, the sum of number of of 500 and 1000 rupee notes is 175
=> x + y = 175 .......1
Again total value of 500 and 1000 rupee notes is 100000
=> 500x + 1000y = 100000
=> 500(x + 2y) = 100000
=> x + 2y = 100000/500
=> x + 2y = 1000/5
=> x + 2y = 200 ..........2
Subtract equation 1 and 2, we get
x + 2y - x - y = 200 - 175
=> y = 25
From equation 1, we get
x + 25 = 175
=> x = 175 - 25
=> x = 150
So, the number of notes of 500 is 150
and the number of notes of 1000 is 25
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