Directions: Study the following bar diagram carefully and answer the questions given below it.
The amount invested by a company is raw materials (in billion) and the value of finished products sold by the company (in billion).
Find the year with the maximum percentage increase in the amount invested in raw materials as compared to the previous year?
2016
2017
2019
2020
Answer: (a) 2016Solution: Percentage increase in the amount invested in raw materials as compared to the previous year. $$ 2016 = \left[\frac{250 - 150}{150} \times 100\right] \ \% $$ $$ = \left[\frac{100}{150} \times 100\right] \ \% $$ $$ = 66.67 \ \% $$ $$ 2017 = \left[\frac{400 - 250}{250} \times 100\right] \ \% $$ $$ = \left[\frac{150}{250} \times 100\right] \ \% $$ $$ = 60 \ \% $$ $$ 2020 = \left[\frac{350 - 300}{300} \times 100\right] \ \% $$ $$ = \left[\frac{50}{300} \times 100\right] \ \% $$ $$ = 16.67 \ \% $$ Hence the maximum percentage increase in the amount invested in raw materials as compared to the previous year was in 2016.
What is the difference between the average amount invested in raw materials during 2016-18 to the average value of sales of finished products during the same period?
68.66 billion
72.22 billion
83.33 billion
94.44 billion
Answer: (c) 83.33 billionSolution: The average amount invested in raw materials during 2016-18. $$ = \frac{1}{3} \ (250 + 400 + 350) $$ $$ = \frac{1}{3} \ (1000) $$ $$ = 333.34 \ billion $$ The average value of sales of finished products during 2016-18. $$ = \frac{1}{3} \ (300 + 500 + 450) $$ $$ = \frac{1}{3} \ (1250) $$ $$ = 416.67 \ billion $$ Required difference $$ = 416.67 - 333.34 $$ $$ = 83.33 \ billion $$
The amount invested in raw materials in 2017 was approximately what percent of the average amount of sales during the years 2015-16?