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Originally posted by Sajjad1994 on 12 Aug 2021, 21:15.
Last edited by BottomJee on 10 Nov 2023, 08:47, edited 2 times in total.
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Dropdown 1: 39.5
Dropdown 2: $16.54
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Select the dropdowns below and click "Submit" to add this question to your Error log.
Difficulty:
75%
(hard)
Question Stats:
62%
(03:24)
correct 38%
(03:16)
wrong
based on 690
sessions
History
Date
Time
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Not Attempted Yet
The chart above shows the percentages of a fund invested in different commodities, split up into 3 agricultural products (corn, wheat and potatoes) and 3 energy sources (oil, gas and solar). The total value of the fund on December 31, 2010 was $12,090.00.
Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.
1. The amount invested in solar energy is percent greater than the amount invested in corn.
2. The fund has 45.9 shares invested in oil and the same number invested in gas. The difference between the average cost-per-share for oil and gas shares is .
investment in solar energy= 28.62*12090/100 (percentage of total amount) = 3460.16 investment in corn = 20.52*12090/100 = 2480.87 amount invested in solar energy greater than amount invested corn = (investment in solar energy-investment in corn)/investment in corn = 3460.16-2480.87)/2480.87 =.3947 in % approx 39.5 Hence C is the answer for question 1
total investment in Oil= 12090*12.74/100 = 1540.3 total investment in gas = 12090*19.02/100 = 2299.5
Total share of each oil and gas = 45.9 Avg cost of oil share = 1540.3/45.9 = 33.5 Avg cost of gas share= 2299.5/45.9 = 50.1 Difference in avg cost price= 50.1-33.5 = 16.6 Hence B is the answer for question 2
Quicker way to attempt first, is to assume total fund was 100 as we are asked to calculate percentage difference, so total amount becomes irrelevant. Then,
Amount invested in solar = ~28 Amount invested in corn = ~20
How much greater? (28-20)/20 = 8/20 = ~40
Only one option choice matches this approximation.
Faster way to attempt second is to pre-calculate,
No. of shares = ~46
Difference b/w cost-per-share = Total amount invested in gas shares/Total no. of gas shares - Total amount invested in oil shares/Total no. of oil share
(Total amount invested in gas shares - Total amount invested in oil shares)/46 (12000*19/100 - 12000*13/100)/46 (6*12000)/(46*100) 720/46 ~15.6