One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?
Let the digit at ten’s place and one’s place be x and 3x
Then original number =10x + 3x = 13x
On interchanging the digits, the digits at ones place and tens place will be x and 3x
The number formed after interchanging = 10x (3x) + x = 31x
Now, New Number + Original Number = 88
13x + 31x = 88
44x = 88
We get, x = 2
Thus, the two digit number is 13x = 13(2) = 26 or 62.
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre.
For every 2 meters of the trouser material he buys 3 metres of the shirt material.
He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,660. How much trouser material did he buy?