Question Details

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?

Options

A

75%

B

50%

C

200%

D

150%

E

25%

Show Answer

Correct Answer :

Option D

150%

Solution :

To find the percentage by which the projects handled by A in 2016 is more or less than the projects handled by B in 2015, we first need to determine the number of projects handled by A and B in each of the given years.

Let the total projects handled by company B in 2015 be x.

Based on the given information, we can set up the details for each year:
1. In 2015:
The projects handled by B in 2015 = x.
Total projects handled by A are 1.5 times of B, so projects handled by A in 2015 = 1.5x.

2. In 2016:
Total projects handled by A in 2016 = 20.
Total projects handled by B is 9 more than that of in 2015, so projects handled by B in 2016 = x+9.

3. In 2017:
Total projects handled by A in 2017 is 25% more than that of by B in 2015:
Projects handled by A in 2017 = x+0.25x=1.25x.
Total projects handled by B in 2017 = 30.

We are given that the total projects handled by A in all three years is 42:
Projects by A in 2015+Projects by A in 2016+Projects by A in 2017=42

Substituting the expressions we found:
1.5x+20+1.25x=42

Let's solve for x:
2.75x+20=42
2.75x=42-20
2.75x=22
x=222.75
x=8

So, the number of projects handled by B in 2015 (x) is 8.

Now we compare the projects handled by A in 2016 (which is 20) with the projects handled by B in 2015 (which is 8).
The difference between the two is:
20-8=12

To find how much percentage more the projects handled by A in 2016 are compared to the projects handled by B in 2015:
Percentage difference=20-88×100%
Percentage difference=128×100%
Percentage difference=1.5×100%=150%

Therefore, projects handled by A in 2016 is 150% more than the projects handled by B in 2015. The correct answer is 150%.

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