Question

The cost of a ball is a two-digit number (for example Rsxy). Its selling
price has same digits as cost price with digits interchanged (Rsyx). If
its profit margin is divided by 9. Find the remainder of the division.

Answer 1

2.2.2.2.2.2..2

2.2.2.2.2.2.2.2.2.2

Answer 2

Answer:

The remainder would be 0.

Step-by-step explanation:

Since, the cost price of the article = 10x + y

And, the selling price ( by reversing the digits ) = 10y + x

Thus, the profit = Selling price - Cost price

= ( 10y + x ) - ( 10x + y )

= 9y - 9x

= 9(y-x)

So, we can say that the profit is multiple of 9,

Hence, when we divide the profit by 9,

Then, remainder would be 0.