<u>Answer-</u>
<em>He purchased a rope of </em><em>48 ft</em><em>.</em>
<u>Solution-</u>
Let us assume the length of the rope he had originally purchased was x ft.
He used one-fourth of the x to make a bow, so the rope he used was
The amount he left with was,
Then he used one-third of the remaining to tie up a roll of carpet, so the rope he used was
Then he left with 24 ft of rope.
∵ The total amount = Amount used + Amount left
Hence,
Therefore, he purchased a rope of 48 ft.