Question

Point p partitions the directed segment from A to B in the ratio of 2 to 3. AP is what percent of AB?

Answer 1

Ok AP is 66% of AB..........

Answer 2

AP is 40 % of AB.

Explanation:

Given: Point P divides Line Segment AB in Ratio 2 : 3.

To find: AP % of AB

Since, P divide
`\overline{AB}` in 2 : 3

⇒ AP : PB = 2 : 3

Total of AP & PB is AB

Total Part of 2 : 3 = 2 + 3 = 5

So, 2 represent AP length

3 represent PB length

5 Represent AB length

Percentage for AP of AB =
`(2)/(5)*100`

=
`(200)/(5)`

= 40 %

Therefore, AP is 40 % of AB.