Question : Directions: The line chart given below shows the ratio of production to sales of two bike manufacturing firms over 6 years
Assume that if sales in any year are greater than production, then both companies have sufficient stock to meet such instances.
Company 1 sold 20,000 bikes each year from 2011 to 2016, and Company 2 sold 10,000 bikes each year from 2011 to 2016. What is the difference (in units) in the average yearly production of companies 1 and 2?
Option 1: 6,733.33
Option 2: 7,500
Option 3: 8,666.6
Option 4: 9,333.33
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Correct Answer: 9,333.33
Solution :
We know that,
Total production = Sales per year × Sum of ratios of all year
For Company 1, the total production from the year 2011 to 2016.
Given that the sale is the same in all years.
The total production for Company 1 = 20000 × (0.6 + 0.9 + 0.7 + 0.9 + 1.3 + 1.3)
The total production = 1,14,000
The average production in six years = $\frac{114000}{6}$ = 19,000
For Company 2, the total production from the year 2011 to 2016.
The total production for Company 2 = 10000 × (0.8 + 0.75 + 0.4 + 1.45 + 1.3 + 1.1)
The total production = 58,000
The average production in six years = $\frac{58000}{6}$ = 9,666.66
The difference of the average yearly production of Companies 1 and 2 = 19000 – 9666.66 = 9,333.34
Hence, the correct answer is 9,333.34.
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