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Corporation X has three divisions (Divisions A, B, and C). For each quarter of the last fiscal year, the graph shows the percentage of the corporation's total net profit through the end of that quarter from the three divisions. In each of the quarters, each division had an increase in net profit compared to the prior quarter.
From each drop-down menu, select the option that creates the most accurate statement based on the information given.
Based on the available information, it must be the case that, in the Quarter, Division net profit more than doubled from the prior quarter.
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This question's structure is similar to this other one from Focus edition practice tests #1 and #2, in which we have to distinguish between percentages and actual numbers: https://gmatclub.com/forum/topic422160.html#p3305913
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Corporation X has three divisions (Divisions A, B, and C). For each quarter of the last fiscal year, the graph shows the percentage of the corporation's total net profit through the end of that quarter from the three divisions. In each of the quarters, each division had an increase in net profit compared to the prior quarter.
From each drop-down menu, select the option that creates the most accurate statement based on the information given.
Based on the available information, it must be the case that, in the Quarter, Division net profit more than doubled from the prior quarter.
Show more
If your understanding of percentages is good, you need to do no calculations here. But I will show using some numbers too at the end.
The graph gives the percentage contribution of each division in each quarter. So in first quarter, A contributed 20% to the total profit, B contributed 50% to the profit revenue and C contributed 30% to the total profit. We are given that "In each of the quarters, each division had an increase in net profit compared to the prior quarter."
But the percentage contribution has sometimes increased and sometimes decreased. Why? Because another division's profit increased by a much larger percentage increasing the overall profit by a whole lot more.
Based on the available information, it must be the case that, in the _____ Quarter, Division ____ net profit more than doubled from the prior quarter.
First I will look for a division for which we see a big increase in percentage contribution from 1 year to the next. I see that for division C the percentage increases from 30% to about 58% from quarter 1 to quarter 2. All other increases are relatively very modest. I also see that from first to second quarter the percentage of division B has reduced from 50% to 25%. But since its profit increased from quarter 1 to quarter 2, it means the overall profit more than doubled in quarter 2.
ANSWER: Select 'Second' and 'C's' and move on.
If it is not clear, here are some numbers: Say profit in quarter 1 is $100 ($20 from A, $50 from B and $30 from C) Division B had more than $50 profit in quarter 2 which was 25% of the total profit so total profit in quarter 2 was "more than $200." Division C's profit in quarter 2 is 58% of "more than $200" which is "more than $116" (almost 4 times the first quarter profit of division C)
Based on the available information, it must be the case that, in the [2nd] Quarter, Division [C's] net profit more than doubled from the prior quarter.
% for Division C double from 30% to 60%
In each of the quarters, each division had an increase in net profit compared to the prior quarter
=> surely the net profit of Division C at least doubled
I didn't understand why second quarter? As net profit of a+b+c in second quarter < net profit of all tnree in third quarter
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The fact that total net profit in the Third Quarter is greater than in the Second Quarter does not tell us that any division’s profit more than doubled.
The reason we can identify the Second Quarter is Division B. Its share falls from 50% to 25%, yet we are told that its actual net profit increased. Therefore, the Second Quarter total must be more than twice the First Quarter total.
Since Division C’s share also rises from 30% to about 58%, Division C’s actual profit must have more than doubled.
For example, suppose the First Quarter total profit was 100. Then Division B’s profit was 50 and Division C’s profit was 30.
In the Second Quarter, B represents only 25% of the total, yet B’s actual profit increased. Therefore, 25% of the Second Quarter total must be greater than 50, so the Second Quarter total must be greater than 200.
Division C represents about 58% of that total, so C’s Second Quarter profit must be greater than 58% of 200 = 116. Since 116 is more than twice 30, Division C’s profit must have more than doubled.