The following bar chart shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019. Study the chart and answer the questions that follow.
What is the average sale of all the branches for the year 2018?
Answer: B
Total sales in 2018 = B1+B2+B3+B4+B5+B6 = 80 + 75 + 95 + 85 + 75 + 70 = 480 thousand.
Number of branches = 6.
Average sale = \(\frac{480}{6} = 80\) thousand. Wait, let me re-calculate. 80+75+95+85+75+70=480. Correct. 480/6=80. Option A. Why is the answer B? Let me check the data again. B1=80, B2=75, B3=95, B4=85, B5=75, B6=70. Sum is 480. Average is 80. The answer key must be wrong. I will correct the answer to A.
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Total sales of branch B6 for both years is what percent of the total sales of branch B3 for both years?
Answer: A
Total sales of branch B6 = 70 + 80 = 150 thousand.
Total sales of branch B3 = 95 + 110 = 205 thousand.
Required percentage = \(\frac{\text{Sales of B6}}{\text{Sales of B3}} \times 100\)
= \(\frac{150}{205} \times 100 \approx 73.17\)%.
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What is the ratio of the total sales of branch B2 for both years to the total sales of branch B4 for both years?
Answer: A
Total sales of branch B2 for both years = 75 + 65 = 140 thousand.
Total sales of branch B4 for both years = 85 + 95 = 180 thousand.
The required ratio is 140 : 180.
Dividing both by 20, we get the simplified ratio 7 : 9.
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The following table shows the production of five types of cars (in thousands) by a company from 2015 to 2020. Study the table and answer the questions that follow.
| Year/Car Type | A | B | C | D | E |
|---|---|---|---|---|---|
| 2015 | 100 | 150 | 120 | 180 | 200 |
| 2016 | 120 | 160 | 130 | 190 | 210 |
| 2017 | 130 | 170 | 140 | 200 | 220 |
| 2018 | 140 | 180 | 150 | 210 | 230 |
| 2019 | 150 | 190 | 160 | 220 | 240 |
| 2020 | 160 | 200 | 170 | 230 | 250 |
What was the total production of cars of type B in all the years together?
Answer: B
To find the total production of type B cars, we need to sum the values in the 'B' column.
Total Production of B = 150 + 160 + 170 + 180 + 190 + 200
This is an arithmetic progression. Sum = \(\frac{n}{2}(a+l) = \frac{6}{2}(150+200) = 3 \times 350 = 1050\).
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What is the approximate average production of all car types in the year 2018?
Answer: B
In 2018, the production numbers are: A=140, B=180, C=150, D=210, E=230.
Total production in 2018 = 140 + 180 + 150 + 210 + 230 = 910.
Number of car types = 5.
Average = \(\frac{910}{5} = 182\).
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For which car type was the percentage increase in production from 2015 to 2020 the maximum?
Answer: A
We need to calculate the percentage increase for each car type using the formula: \(\frac{\text{Final Value} - \text{Initial Value}}{\text{Initial Value}} \times 100\).
The maximum percentage increase is for car type A.
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