The information given about number of project handle by two companies (A and B) in three different years (2015, 2016 and 2017). Read the information carefully and answer the questions given below.

In 2015, Total projects handle by A are 1.5 times of B.
In 2016, Total project handle by B is 9 more than that of in 2015 and A handle 20 projects.
In 2017, total project handle by A is 25% more than that of by B in 2015 and B handle 30 projects.
Total projects handle by A in all three years is 42.

Projects handles by A in 2016 is how much percentage more or less than the projects handle by B in 2015?

The correct option is 150%.

Let us analyze the given information step-by-step to find the number of projects handled by each company.

Let the number of projects handled by company B in 2015 be represented by $x$.

From the problem statement, we can write down the expressions for projects handled in each year:

In 2015:
Projects handled by B = $x$
Projects handled by A are 1.5 times of B, so A = $1.5x$

In 2016:
Projects handled by B = $x+9$
Projects handled by A = $20$

In 2017:
Projects handled by A is 25% more than B in 2015, so A = $1.25x$
Projects handled by B = $30$

We are given that the total projects handled by A in all three years is 42. Using this, we can set up the equation:

$A_{2015}+A_{2016}+A_{2017}=42$

Substitute the expressions into the equation:

$1.5x+20+1.25x=42$

Combine the terms with $x$:

$2.75x+20=42$

Subtract 20 from both sides of the equation:

$2.75x=22$

Solve for $x$:

$x=\frac{22}{2.75}=8$

Therefore, the projects handled by company B in 2015 is:

$B_{2015}=8$

The projects handled by company A in 2016 is:

$A_{2016}=20$

Now, we need to calculate how much percentage more or less the projects handled by A in 2016 is compared to the projects handled by B in 2015:

$\text{Percentage Difference}=\frac{A_{2016}-B_{2015}}{B_{2015}}\times 100$

Substitute the values into the formula:

$\text{Percentage Difference}=\frac{20-8}{8}\times 100$

Simplify the expression:

$\text{Percentage Difference}=\frac{12}{8}\times 100=1.5\times 100=150\%$

Thus, the projects handled by A in 2016 is 150% more than the projects handled by B in 2015.