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A sum of Rs.2000 is in the denominations of Rs. 50 and Rs.10 notes. If the total number of notes be 80, find the no. of notes of each type ?

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by astroathu

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by astroathu

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Let Number of Rs 50 notes be x. Then number of Rs 10 notes = (80 - x)

Let us express the value of currency notes we have in terms of their value.

50 x + 10 (80 - x) = 2,000

50 x - 10 x + 800 = 2,000

So, 40 x = 1,200

x = 30 of Rs 50 notes

80 - x = 50 of Rs10 notes

Let us express the value of currency notes we have in terms of their value.

50 x + 10 (80 - x) = 2,000

50 x - 10 x + 800 = 2,000

So, 40 x = 1,200

x = 30 of Rs 50 notes

80 - x = 50 of Rs10 notes

Therefore,

x + y = 80 and 10x + 50y = 2000

By elimination method,

50x + 10y = 2000

x + y = 80

50x + 10y = 2000

10x + 10y = 800

40x = 1200

Therefore x = 1200/40 = 30.

=> 30+y=80

y = 80-30 = 50

x = 50 and y = 30