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Question

Answers

A.45

B.60

C.75

D.90

Answer

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In the question, the total values of the notes are dependent upon the number of notes of each denomination and if any of the numbers of the notes are changed then the total values of the coin will change accordingly. Here, we need to calculate the total number of notes the man has for which we need to calculate the number of notes of each denomination and add them to get the result.

The total amount that man has is Rs. 480 which is the total sum of values of one-rupee notes, five-rupee notes, and ten-rupee notes.

According to the question, the number of notes of each denomination is equal. So, let us assume the number of each note to \[x\].

Product of the value of the note with the number of the notes gives the total currency value. So, we can express this as \[1x + 5x + 10x = 480\].

Where \[x\]is the number of notes and 1, 5, 10 being their values, hence the number of notes will be:

\[

1x + 5x + 10x = 480 \\

16x = 480 \\

x = \dfrac{{480}}{{16}} \\

x = 30 \\

\]

Hence, we can say there are a total of 90 notes as 30 being each.

One-rupee note\[ = 1 \times x = 1 \times 30 = Rs.30\],

Five-rupee note \[ = 5 \times x = 5 \times 30 = Rs.150\]

Ten-rupee note \[ = 10 \times x = 10 \times 30 = Rs.300\]

Total \[ = 1x + 5x + 10x = 30 + 150 + 300 = Rs.480\]