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

Solution :

The correct answer is 10.

Let us break down the information given in the question step-by-step to find the number of projects handled by both companies:

Let the number of projects handled by Company B in the year 2015 be x.

Step 1: Projects handled in 2015
According to the problem, the total projects handled by Company A in 2015 are 1.5 times those handled by B.
Company B (2015) = x
Company A (2015) = 1.5x

Step 2: Projects handled in 2016
In 2016, Company B handles 9 more projects than it did in 2015:
Company B (2016) = x+9
Company A (2016) = 20

Step 3: Projects handled in 2017
In 2017, the projects handled by Company A are 25% more than those handled by B in 2015:
Company A (2017) = x+25% of x=1.25x
Company B (2017) = 30

Step 4: Solve for 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.
Total A=A(2015)+A(2016)+A(2017)=42
Substituting the values we obtained:
1.5x+20+1.25x=42
Combine the terms containing x:
2.75x+20=42
Subtract 20 from both sides:
2.75x=22
Solve for x:
x=222.75=8

Step 5: Calculate the required difference
We need 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.
Projects handled by B in 2017 = 30
Projects handled by A in 2016 = 20
Difference = 30-20=10

Thus, the projects handled by B in 2017 are 10 more than the projects handled by A in 2016.

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