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Directions (1 - 4): Study the following graph carefully and answer the given questions.
Direction image of Bar Chart chapter
1
What is the ratio between average production by company B in three years to the average production by company C in three years?
Discuss
Answer & Solution
$$\eqalign{ & \text{B} = \frac{40 + 30 + 50}{3} = \frac{120}{3} = 40 \cr & \text{C} = \frac{20 + 40 + 20}{3} = \frac{80}{3} \cr & \text{then B : C} = 40 : \frac{80}{3} \cr & \,\,\,\,\,\,\,\,\, \text{B : C} = 3 : 2 \cr} $$
2
Which company has the highest average production over the three years?
Discuss
Answer & Solution
$$\eqalign{ & \text{A} = \frac{20 + 30 + 20}{3} \cr & \,\,\,\,\, = \frac{70}{3} \cr & \,\,\,\,\, = 23.33 \cr & \cr & \text{B} = \frac{40 + 30 + 50}{3} \cr & \,\,\,\,\, = \frac{120}{3} \cr & \,\,\,\,\, = 40 \cr & \cr & \text{C} = \frac{20 + 20 + 40}{3} \cr & \,\,\,\,\, = \frac{80}{3} \cr & \,\,\,\,\, = 26.66 \cr & \cr & \text{D} = \frac{60 + 30 + 40}{3} \cr & \,\,\,\,\, = \frac{130}{3} \cr & \,\,\,\,\, = 43.33 \cr} $$
So company D has the highest production.
3
Which the drop in production of company D from year 2010 to 2012 in percentage?
Discuss
Answer & Solution
$$\eqalign{ & = \frac{20}{60} \times 100 \cr & = 33\frac{1}{3}\% \cr & = 33.3\% \cr} $$
4
The total production of companies A and D in year 2010 is what percent of total production of four companies in the year 2012?
Discuss
Answer & Solution
In 2010, A and D
= 20 + 60
= 80
In 2012, A + B + C + D
= 20 + 50 + 20 + 40
= 130
= $$\frac{80}{130}$$ × 100
≈ 61%