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Q.

A man has 480 rupees 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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a

90

b

75

c

45

d

60

answer is A.

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Detailed Solution

Concept- To find the total number of notes he has, we consider the number of one, five and ten rupee notes variable x, as given all three notes are equal in number. Now we form a relation using total amount man has the variable and solve for answer
Here,
Total amount=480 rs in terms of one, five ,ten rupee notes.
Also,
Number of notes of denominator is equal
Now, consider the number of notes man has been ‘x’.
So, According to the question man has x one rupee note, x five rupees notes and x ten rupee notes.
Here, said that total value of money man has 480 rupees
Therefore , a relation make between this is given by

= x (1) + x (5) + x (10) = 480

= x + 5 x + 10 x = 480

= 16 x = 480

= x = \frac{480}{16}

= x = 30

Therefore, man has 30 one rupee notes, 30 five rupee notes, and 30 ten rupee notes.
So, total number of notes man has is

30 + 30 + 30 = 90

Hence, the correct answer is option 1.

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