a man has rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. the number of notes of each denomination is equal. what is the total number of notes that he has ?

a man has rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. the number of notes of each denomination is equal. what is the total number of notes that he has ?

3 days ago 5
Nature

Let's analyze the problem step-by-step.

Given:

  • The man has Rs. 480 in total.
  • The money is in denominations of Rs. 1, Rs. 5, and Rs. 10 notes.
  • The number of notes of each denomination is equal.

Let:

  • The number of notes of each denomination be xxx.

Then:

  • Total amount from Rs. 1 notes = 1×x=x1\times x=x1×x=x
  • Total amount from Rs. 5 notes = 5×x=5x5\times x=5x5×x=5x
  • Total amount from Rs. 10 notes = 10×x=10x10\times x=10x10×x=10x

Total amount:

x+5x+10x=480x+5x+10x=480x+5x+10x=480

16x=48016x=48016x=480

x=48016=30x=\frac{480}{16}=30x=16480​=30

Total number of notes:

Since the number of notes of each denomination is 30,

Total notes=3×30=90\text{Total notes}=3\times 30=90Total notes=3×30=90

Final answer:

The man has a total of 90 notes.

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