Arun has a certain amount of money in the denomination of 1 rupee and 10 rupee notes . T he number of 1 rupee notes multiplied by the number of 10 rupee notes is equal to the total money (in rupees) that he has. What is the total number of ten rupee notes that he can have?a)11b)13c)15d)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

I think given answer is wrong as the first option 11 holds true with the constraints in question.

Answer

The option 11 holds true for the equation X+10y=xy , giving X=11 when y=11. So answer must be option a.

Answer

Total Money in Rupees
To solve this problem, let's assume that Arun has x number of 1 rupee notes and y number of 10 rupee notes. The total money he has can be calculated by multiplying the number of 1 rupee notes by 1 and the number of 10 rupee notes by 10, and then adding the two amounts together.

Total Money = (x * 1) + (y * 10)

Number of 1 Rupee Notes multiplied by Number of 10 Rupee Notes
According to the problem, the number of 1 rupee notes multiplied by the number of 10 rupee notes is equal to the total money that Arun has. Therefore, we can write the equation:

x * y = (x * 1) + (y * 10)

Simplifying the Equation
Let's simplify the equation to solve for y, the number of 10 rupee notes that Arun can have.

x * y = x + 10y

Rearranging the terms, we get:

x * y - x = 10y

Factoring out the common term y, we get:

y(x - 1) = 10y

Dividing both sides by y (assuming y is not equal to 0), we get:

x - 1 = 10

Solving for x, we find:

x = 11

Since x represents the number of 1 rupee notes, we can conclude that Arun has 11 one rupee notes. However, the question asks for the total number of 10 rupee notes Arun can have, which is represented by y. Since we don't have enough information to solve for y, the correct answer is None of these (option D).

Answer

Let number of 10 rupee notes be x and one rupee notes be y.
(10x)+(1y) = x*y10x + y = xy
Since none of the options satisfy the above equation for any value of y, hence the answer is D.

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