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.

Find the projects handle by B in 2017 is how much more or less than the projects handle by A in 2016.

Options

A

5

B

10

C

20

D

15

E

25

Show Answer

Correct Answer :

Option B

10

10

Solution :

To find how much more or less the projects handled by company B in 2017 are compared to the projects handled by company A in 2016, we can set up algebraic equations based on the given information step-by-step.

Step 1: Define the variables for the projects in 2015
Let the number of projects handled by company B in 2015 be x.
According to the problem, in 2015, the total projects handled by company A are 1.5 times those of company B.
Therefore, the projects handled by company A in 2015 = 1.5x.

Step 2: Analyze the projects in 2016
In 2016, company A handled 20 projects.
Projects handled by company B in 2016 = x+9 (since it is 9 more than that of company B in 2015).

Step 3: Analyze the projects in 2017
In 2017, company B handled 30 projects.
The projects handled by company A in 2017 are 25% more than that of company B in 2015.
Projects handled by company A in 2017 = x+0.25x=1.25x.

Step 4: Find the value of x using the total projects of company A
We are given that the total projects handled by company A in all three years (2015, 2016, and 2017) is 42.
Adding company A's projects for all three years, we get:
1.5x+20+1.25x=42

Combining the terms of x:
2.75x+20=42

Subtracting 20 from both sides:
2.75x=22

Solving for x:
x=222.75=8

Thus, company B handled 8 projects in 2015.

Step 5: Calculate the required difference
We need to find how much more or less the projects handled by B in 2017 are than the projects handled by A in 2016:
- Projects handled by B in 2017 = 30
- Projects handled by A in 2016 = 20

Difference:
30-20=10

Therefore, the projects handled by company B in 2017 is 10 more than the projects handled by company A in 2016. The correct option is 10.

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