A sum of Rs 9000 is in the form of denominations of Rs 100 and Rs 500. If the total number of notes is 50. Find the number of notes in each type?
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Let the Rs 100 notes be X.
Then the Rs 500 notes be (50-X).
Value of Rs 100notes = 100×X = 100x
Value of Rs 500 notes = 500(50- X)
=25000- 500X
A/Q 100X + 25000-500X = Rs 9000
or -400X = 9000-25000
or -400X = -16000
therefore, X = 16000/400 = 40
Rs 100 notes = X = 40 notes
Rs 500 notes = 50-40 = 10 notes
Then the Rs 500 notes be (50-X).
Value of Rs 100notes = 100×X = 100x
Value of Rs 500 notes = 500(50- X)
=25000- 500X
A/Q 100X + 25000-500X = Rs 9000
or -400X = 9000-25000
or -400X = -16000
therefore, X = 16000/400 = 40
Rs 100 notes = X = 40 notes
Rs 500 notes = 50-40 = 10 notes
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