Question

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?​

Answer 1

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

Answer 2

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