I have 1000rs in ten and five -rupee notes. if the number of ten-rupee notes that I have is ten more than the number of five rupee note, how many notes do I have in each denomination?
Answers
Answered by
2
Step-by-step explanation:
Let no. of five rupee notes = x
no. of ten rupee notes = x+10
Cost of 5 rupee notes = Rs. 5x
Cost of 10 rupee notes = Rs. 10x +100
Total Cost = Rs. 1000
Therefore,
5x + 10x + 100 = 1000
15x = 1000 - 100
15x = 900
x = 900/15 = 60
Therefore, No. of five rupee notes = 60
No. of ten rupee notes = 60 + 10 = 70
Answered by
0
Answer:
Let x be the no of ₹10 notes and y be the no of ₹5 notes
Then acc to first condition,
10x + 5y = 1000
i.e. 2x + y = 200
Acc to second condition,
x = y + 10
Now, adding the two equations,
2x + y = 200
x - y = 10
_____________
3x = 210
x = 70
Hence, y = 60
There are 70 notes of ₹10 and 60 notes of ₹5.
Verification:
70 × 10 = 700
60 × 5 = 300
Total: 700 + 300 = ₹1000
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