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1. vikram has rupees 425 as currency notes of the denominations of ruppes 5 , 10 , and 20 notes. the number of rupees 10 notes is five times the number of ruppes 20 notes. if vikram has total 45 currency notes, how many currency notes of denomination are with him?
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Assume the no. of Rs 5 notes be x , Rs10 notes be 5y
and Rs.20 notes be y
According to the question ,
x + 5y + y = 45
x + 6y = 45
x = 45 - 6y .... (1)
5x + 10(5y) + 20y = 425
5x + 70y = 425 .... (2)
Substituting the value of x from (1) to (2)
5(45 - 6y) + 70y = 425
225 - 30y + 70y = 425
225 + 40y = 425
40y = 425 - 225
40y = 200
y = 200/40
y = 5
x = 45 - (6×5)
x = 45 - 30
x = 15
Rs. 5 notes are x = 15
Rs. 10 notes are 5y = 5 × 5 = 25
Rs. 20 notes are y = 5
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