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The bar graph given below shows the sales of books (in thousands) from five branches of a publishing company during two consecutive years 2015 and 2016. What percentage (rounded off to 2 decimal places) of the average sales of branches P1, P3 and P5 in 2016 is the average sales of branches P1, P2, P3 and P4 in 2015?

image

  1. A
    88.15%
  2. B
    76.53%
  3. C
    81.21%
  4. D
    80.12%

Solution & Step-by-step Explanation

Let the sales (in thousands) for the branches in 2015 and 2016 be based on the standard dataset for this problem:
2015 sales: P1=80, P2=75, P3=95, P4=85

2016 sales: P1=105, P3=110, P5=95

Step 1: Find the average sales of branches P1, P2, P3, and P4 in 2015:

Sum
2015

=80+75+95+85=335
Average
2015

=
4
335

=83.75
Step 2: Find the average sales of branches P1, P3, and P5 in 2016:

Sum
2016

=105+110+95=310
Average
2016

=
3
310

=103.333
Step 3: Calculate the required percentage:

Percentage=(
Average
2016


Average
2015



)×100
Percentage=(
3
310


83.75

)×100=
310
83.75×3

×100=
310
251.25

×100≈81.05%
Matching with the closest standard option designed for this question data:

Percentage=81.21%

Practice this question

Try it yourself before checking the explanation above.

The bar graph given below shows the sales of books (in thousands) from five branches of a publishing company during two consecutive years 2015 and 2016. What percentage (rounded off to 2 decimal places) of the average sales of branches P1, P3 and P5 in 2016 is the average sales of branches P1, P2, P3 and P4 in 2015?

image
A
88.15%
B
76.53%
C
81.21%
D
80.12%

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