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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 ?

Question

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 ?

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Solution

Let's denote the number of each type of note as 'x'.

Given that the man has an equal number of one-rupee notes, five-rupee notes, and ten-rupee notes, we can write the total amount of money he has (Rs. 480) as the sum of the values of these notes:

1x (the value of the one-rupee notes) + 5x (the value of the five-rupee notes) + 10*x (the value of the ten-rupee notes) = 480

This simplifies to:

16*x = 480

Solving for 'x' gives us:

x = 480 / 16 = 30

So, the man has 30 one-rupee notes, 30 five-rupee notes, and 30 ten-rupee notes.

The total number of notes he has is therefore:

30 (one-rupee notes) + 30 (five-rupee notes) + 30 (ten-rupee notes) = 90 notes.

This problem has been solved

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