The given graph shows the sales of hard drives (in thousand numbers) from five different shops S1, S2, S3, S4, S5 in the years 2016 and 2017.
What is the ratio of total sales in all the shops in 2016 to that of the total sales in all the shops in 2017?
To find the ratio of total sales in all shops in 2016 to that of 2017, we need to sum up the sales for each year separately and then compute their ratio.
From the given graph, the sales data in thousand numbers for each shop are as follows:
- Shop S1: 2016 = 45, 2017 = 80
- Shop S2: 2016 = 58, 2017 = 76
- Shop S3: 2016 = 62, 2017 = 84
- Shop S4: 2016 = 40, 2017 = 60
- Shop S5: 2016 = 55, 2017 = 70
Calculating the total sales for both years:
- Total sales in 2016: \(45 + 58 + 62 + 40 + 55 = 260\)
- Total sales in 2017: \(80 + 76 + 84 + 60 + 70 = 370\)
The ratio of total sales in 2016 to 2017 is calculated as follows:
\(\text{Ratio} = \frac{260}{370}\)
By simplifying this fraction:
- Divide both numerator and denominator by their greatest common divisor (GCD), which is 10:
- \(\frac{260}{370} = \frac{26}{37}\)
Therefore, the ratio of total sales in all the shops in 2016 to that in 2017 is 26 : 37.
Thus, the correct option is:
26 : 37
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