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 1 in 2014 was 18,000, and the sales of Company 2 in 2012 were 15,000. What is the ratio of the difference in sales and production between Company 1 in 2014 and Company 2 in 2012?
Option 1: 8 : 15
Option 2: 7 : 16
Option 3: 9 : 11
Option 4: 3 : 8
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Correct Answer: 8 : 15
Solution :
Let $s$ and $p$ denote the sales and the production for Company 1 and Company 2 respectively.
The Company 1 in the year 2014,
The production was 1,800 units.
The ratio of production to sales = $\frac{18000}{s}$ = 0.9
The sales = $\frac{18000}{0.9}$ = 20,000 units
The difference between sales and production = 20000 – 18000 = 2,000 units
The Company 2 in the year 2012,
The sales were 15,000 units.
The ratio of production to sales = $\frac{p}{15000}$ = 0.75
The production = 0.75 × 15000 = 11,250 units
The difference between sales and production = 15000 – 11250 = 3,750 units
The required ratio = $\frac{2000}{3750}$ = $\frac{8}{15}$
Hence, the correct answer is 8 : 15.
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