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%

150%

Solution :

The correct option is 150%.

Let the number of projects handled by company B in the year 2015 be x.
Based on the information given in the problem, we can determine the projects handled by companies A and B in each year in terms of x:

Year 2015:
Projects handled by B in 2015 = x
Projects handled by A in 2015 = 1.5 times of B = 1.5x

Year 2016:
Projects handled by B in 2016 = x+9
Projects handled by A in 2016 = 20

Year 2017:
Projects handled by A in 2017 = 25% more than B in 2015 = 1.25x
Projects handled by B in 2017 = 30

We are given that the total projects handled by company A in all three years (2015, 2016, and 2017) is 42.
Therefore, we can write the equation:
1.5x+20+1.25x=42
Combining the like terms:
2.75x+20=42
Subtract 20 from both sides:
2.75x=22
Solving for x:
x=222.75=8
So, the projects handled by company B in 2015 is:
Projects by B in 2015=8

Now, we need to find how much percentage more or less the projects handled by company A in 2016 is compared to the projects handled by company B in 2015.
Projects handled by A in 2016 = 20
Projects handled by B in 2015 = 8

Since 20 is greater than 8, the projects handled by A in 2016 are more than those handled by B in 2015.
The difference in projects is:
20-8=12
To find the percentage increase:
Percentage More=128×100%=1.5×100%=150%
Thus, the projects handled by A in 2016 is 150% more than the projects handled by B in 2015.

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