Question : Directions: In the following bar diagrams sales of books (in thousand numbers) from six branches B1, B2, B3, B4, B5 and B6 of a publishing company in 2009 and 2010 have been shown. Study the graph and answer the questions.

$x$% of the average sales of branches B1, B2, and B3 in 2010 is the average sales of branches B1, B3, and B6 in 2009. The value of $x$ is:

Option 1: 77.5%

Option 2: 87.5%

Option 3: 82.5%

Option 4: 75%


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 87.5%


Solution : From the given graph,
The total sales of branches B1, B2, and B3 in 2010 = 105 + 65 + 110 = 280 thousand
The total sales of branches B1, B3, and B6 in 2009 = 80 + 95 + 70 = 245 thousand
The number of given branches = 3
It is given that the $x$% of the average sales of branches B1, B2, and B3 in 2010 is equal to the average sales of branches B1, B3, and B6 in 2009.
⇒ $\frac{280}{3} × \frac{x}{100} = \frac{245}{3}$
⇒ $\frac{14x}{15}=\frac{245}{3}$
⇒ $x=\frac{175}{2}$
⇒ $x$ = 87.5%
Hence, the correct answer is 87.5%.

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