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27 Dec 2023, 10:33
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Dropdown 1: 26%
Dropdown 2: 81%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
44% (03:05) correct
56%
(03:11)
wrong
based on 224
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Data Insights (DI) Butler 2023-24 [Question #169, Date: Dec-25-2023] [Click here for Details]
The graph shows the sales of the only three widget-producing companies.
Based on the given information, fill in the blanks in each of the following statements.
1. In the year when Company C’s share of total widget sales was greater than it was in any other year in the period shown in the graph, that share was approximately .
2. Total sales in the widget industry in 2002 were approximately of total sales in the widget industry in 2011.
Attachment:
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Official Answer
Dropdown 1: 26%
Dropdown 2: 81%
24 Jan 2024, 02:22
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Kindly explain how the solution is 26%.
. In the year when Company C’s share of total widget sales was greater than it was in any other year in the period shown in the graph, that share was approximatel 26%
. In the year when Company C’s share of total widget sales was greater than it was in any other year in the period shown in the graph, that share was approximatel 26%
24 Jan 2024, 03:24
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Official Explanation
The years 2006 and 2011 appear good candidates for the years when Company C’s shares of total widget sales were greatest. In 2006, the company had greater sales, in absolute terms, than in 2011, but the industry’s overall sales that year were greater, as well. So, it’s a good idea to start by calculating Company C’s share of total widget sales in 2011. In 2011, Company C’s sales were $210 million and the industry’s were $800 million ($460 plus $130 plus $210). Let x be the percentage of those total sales that were Company C’s. Then:
210=x%(800)
x=210/800%
\(x=\frac{210}{800}(100)\)
\(x=26.25\)
Sure enough, 26% is the greatest percentage among the answer choices, so there’s no reason to check any other year.
Answer: C
In 2002, the widget industry had total sales of $650 million ($450 plus $120 plus $80). In 2011, it had total sales of $800, as you’ve calculated in Question I already. If the 2002 sales were x% of the 2011 sales, then:
\(650=(800)x\)%
x=650/800%
\(x=\frac{650}{800}(100)\)
\(x=81.25\)
Answer: A
The years 2006 and 2011 appear good candidates for the years when Company C’s shares of total widget sales were greatest. In 2006, the company had greater sales, in absolute terms, than in 2011, but the industry’s overall sales that year were greater, as well. So, it’s a good idea to start by calculating Company C’s share of total widget sales in 2011. In 2011, Company C’s sales were $210 million and the industry’s were $800 million ($460 plus $130 plus $210). Let x be the percentage of those total sales that were Company C’s. Then:
210=x%(800)
x=210/800%
\(x=\frac{210}{800}(100)\)
\(x=26.25\)
Sure enough, 26% is the greatest percentage among the answer choices, so there’s no reason to check any other year.
Answer: C
In 2002, the widget industry had total sales of $650 million ($450 plus $120 plus $80). In 2011, it had total sales of $800, as you’ve calculated in Question I already. If the 2002 sales were x% of the 2011 sales, then:
\(650=(800)x\)%
x=650/800%
\(x=\frac{650}{800}(100)\)
\(x=81.25\)
Answer: A
