The following bar graph shows the sales (in thousand numbers) of novels from six different branches of a publishing company in 2020 and 2021. 

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Answer the following question based on the bar graph:

What is the ratio of the total sales of branch A3 for both years to the total sales of branch A4 for both years? 

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  1. 43 : 40
  2. 40 : 43
  3. 23 : 20
  4. 20 : 23

Answer (Detailed Solution Below)

Option 2 : 40 : 43
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Detailed Solution

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Given:

Sales of branch A3 in 2020 = 95 (in thousand numbers)

Sales of branch A3 in 2021 = 105 (in thousand numbers)

Sales of branch A4 in 2020 = 110 (in thousand numbers)

Sales of branch A4 in 2021 = 105 (in thousand numbers)

Formula Used:

Total Sales = Sales in 2020 + Sales in 2021

Ratio = Total Sales of branch A3 : Total Sales of branch A4

Calculation:

Total sales of branch A3 for both years = 95 + 105 = 200 (in thousand numbers)

Total sales of branch A4 for both years = 110 + 105 = 215 (in thousand numbers)

Ratio of the total sales of branch A3 to the total sales of branch A4 = 200 : 215

Simplify the ratio by dividing both sides by their greatest common divisor, which is 5:

Ratio = 200 ÷ 5 : 215 ÷ 5

Ratio = 40 : 43

∴ The ratio of the total sales of branch A3 for both years to the total sales of branch A4 for both years is 40 : 43.

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