Question : The bar chart given below shows the sales (in 000 units) of 4 mobile brands for 3 years.
In 2017, the sales of each brand increased by the same percentage as it did in the year 2016. What will be the approximate average sales (in units) of mobiles per brand in the year 2017?
Option 1: 9175
Option 2: 8360
Option 3: 9436
Option 4: 9678
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Correct Answer: 9175
Solution :
As per the given graph:
In 2017, the sales of each brand increased by the same percentage as it did in the year 2016.
The increase in sales of Brand 1 in 2016 = $\frac{7.5-5.5}{5.5}×100=36.36\%$
The sales of Brand 1 in 2017 = $7.5+(7.5×\frac{36.36}{100})=10.2$ units
The increase in sales of Brand 2 in 2016 = $\frac{6-5}{5}×100=20\%$
The sales of Brand 2 in 2017 = $6+(6×\frac{20}{100})=7.2$ units
The increase in sales of Brand 3 in 2016 = $\frac{7.5-6.5}{6.5}×100=15.38\%$
The sales of Brand 3 in 2017 = $7.5+(7.5×\frac{15.38}{100})=8.6$ units
The increase in sales of Brand 4 in 2016 = $\frac{9.5-8.5}{8.5}×100=11.76\%$
The sales of Brand 4 in 2017 = $9.5+(9.5×\frac{11.76}{100})=10.6$ units
The approximate average sales (in 000 units) of mobiles per brand in the year 2017
= $\frac{10.2+7.2+8.6+10.6}{4}×1000$
= $\frac{36.6}{4}×1000=9150\approx9175$
Hence, the correct answer is 9175.
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