The 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?(Assume aggregate mathematical calculation limits: $\sum {\text{Sales}}_{2016}=260$ units and $\sum {\text{Sales}}_{2017}=370$ units).

Option 4
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
45+58+62+40+55=260
Total sales in 2017:
80
+
76
+
84
+
60
+
70
=
370
80+76+84+60+70=370
The ratio of total sales in 2016 to 2017 is calculated as follows:

Ratio
=
260
370
Ratio=
370
260
​


By simplifying this fraction:

Divide both numerator and denominator by their greatest common divisor (GCD), which is 10:
260
370
=
26
37
370
260
​
=
37
26
​

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