Total value of notes is 2000, number of notes is 50. How many Rs. 50 and Rs. 100 notes are received?
Given: Total value of notes is 2000, number of notes is 50.
To do: How many Rs. 50 and Rs. 100 notes are received
Solution:
Let no. of Rs. 50 notes = $x$
No. of Rs. 100 notes = $y$
Total notes = 25
⇒ $x + y = 25$
⇒ $x = 25-y$
Total amount only in Rs. 50 notes =$ 50x$
Total amount only in Rs. 100 notes = $100y$
Total amount = 2000
⇒ $50x + 100y = 2000$
⇒$50(25-y) + 100y = 2000$
⇒$50\times25 - 50y + 100y = 2000$
⇒$1250 +50 y = 2000$
⇒ $50y = 2000-1250 = 750$
⇒ $y = \frac{750}{50} = 15$
$ x = 25-15 = 10$
No. of Rs. 50 notes = 10
No. of Rs. 100 notes = 15
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