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 ?
The man has a total of 90 notes.
Quick Explanation
Let the number of notes of each type (1-rupee, 5-rupee, 10-rupee) be xxx.
- Total from 1-rupee notes = 1×x=x1\times x=x1×x=x.
- Total from 5-rupee notes = 5×x=5x5\times x=5x5×x=5x.
- Total from 10-rupee notes = 10×x=10x10\times x=10x10×x=10x.
So the total money is:
x+5x+10x=480⇒16x=480⇒x=30x+5x+10x=480\Rightarrow 16x=480\Rightarrow x=30x+5x+10x=480⇒16x=480⇒x=30
He has 30 notes of each of the three denominations, so:
Total notes=3x=3×30=90\text{Total notes}=3x=3\times 30=90Total notes=3x=3×30=90
Answer: 90 notes.