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.
The production of Company 2 in 2012 was 30,000. If sales of company 2 in 2012 and 2013 were the same, then what was its production (in units) in 2013?
Option 1: 1,00,000
Option 2: 16,000
Option 3: 30,000
Option 4: 20,000
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Correct Answer: 16,000
Solution :
Let $p$ denote the production for Company 2.
In the year 2012,
The production was 30,000 units.
The ratio of production to sales = $\frac{p}{30000}$ = 0.75
⇒ The sales of Company 2 in the year 2012 = $\frac{30000}{0.75}$ = 40,000
Given that sales in 2012 were equal to sales in 2013.
In the year 2013,
The sales were 40,000 units.
The ratio of production to sales = $\frac{p}{40000}$ = 0.4
The production of Company 2 in the year 2013 = 0.4 × 40000 = 16,000
⇒ The production of Company 2 in the year 2013 = 16,000 units
Hence, the correct answer is 16,000.
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