Question

The above graphs show the amounts, in dollars, invested by a company for materials and labor, to produce a certain product and the value of the sales for that product. According to the company, amount invested for materials and labor is at most $60$% of the value of the sales. Which year or years do not follow the claim made by the company ?

• A. $2010$
• B. $2012$
• C. $2014$
• D. $2012$ and $2014$

Answer 1

The correct option is B $2012$

Amount invested by the company in materials and labor of the sales per year:

$2009:\frac{4.6}{8.1}\times 100=56.8\%$

$2010:\frac{7.1}{12}\times 100=59.16\%$

$2011:\frac{6}{10.2}\times 100=58.82\%$

$2012:\frac{10.1}{15}\times 100=67.33\%$

$2013:\frac{8}{13.6}\times 100=58.82\%$

$2014:\frac{8.6}{14.6}\times 100=58.9\%$

Therefore, the year $2012$ does not follow the claim made by he company as the percentage was greater than $60\%$.