The graph shows the annual percentage change in domestic and

Question

The graph shows the annual percentage change in domestic and international passenger traffic at Airport Z from 2016 through 2021.

Choose the option in each drop-down that makes the statement accurate.

From 2016 through 2018, international passenger traffic domestic passenger traffic.

Over all six years shown, the overall decrease in international passenger traffic, compounded and rounded to the nearest 1 percent, was percent.

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Official Answer

Dropdown 1: decreased by a larger percentage than Dropdown 2: 7

Bunuel · Accepted Answer

The graph shows the annual percentage change in domestic and international passenger traffic at Airport Z from 2016 through 2021.

https://gmatclub.com/forum/download/file.php?id=89563

Choose the option in each drop-down that makes the statement accurate.

From 2016 through 2018, international passenger traffic  GRAPH_1_PLACEHOLDER  domestic passenger traffic.

Over all six years shown, the overall decrease in international passenger traffic, compounded and rounded to the nearest 1 percent, was  GRAPH_2_PLACEHOLDER  percent.

Official Solution:

Drop-down 1:

For the first statement, the graph gives only  percentage changes , not the actual numbers of passengers. Therefore, we cannot determine whether international passenger traffic was greater than or less than domestic passenger traffic.

For domestic traffic from 2016 through 2018:

0.97 * 1.07 * 0.96 corresponds to changes of -3%, +7%, and -4%. The product is just slightly less than 1, so domestic passenger traffic essentially stayed the same over the period (the actual decrease is less than 1%).

For international traffic:

0.92 * 0.97 * 1.02 corresponds to changes of -8%, -3%, and +2%. The product is clearly less than 1, so international passenger traffic decreased substantially over the period (the actual decrease is about 9%).

Therefore, international passenger traffic  decreased by a larger percentage than  domestic passenger traffic.

Drop-down 2:

For the second statement, compound all six annual percentage changes for international traffic:

0.92 * 0.97 * 1.02 * 1.06 * 0.93 * 1.04 ≈ 0.933

Thus, international passenger traffic ended at about 93.3% of its original level.

100% - 93.3% = 6.7%

Rounded to the nearest 1 percent, the overall decrease was  7% .

Correct answer:  
Drop-down 1: "decreased by a larger percentage than"
Drop-down 2: "7"

LogicDriven · Answer

First drop-down: decreased by a larger percentage than

Second drop-down: 7

ROHIT98168 · Answer

so the first one is : Decreased by larger percentage
second one is 7 
explanation will be :
2016: 100-8 = 92
2017: 92* (100-3) = 89.24
2018: 89.24* (100+2%) = 91.02
2019: 91.02 * (100+6%) = 96.49
2020 : 96.49* (100-7%) = 89.73
2021: 89.73* (100+ 4%) = 93.32
so the final answer will be 100-93.32 = 7%

Theeldertwin · Answer

There is one important formula for this question:

For two changes, a and b:
Net change = a + b + (ab/100)

For the first question, we don't really have the actually number of passengers. We only have the relative change in the number of passengers. That eliminates option 1 and 2.

Now to compare between 3 and 4 options, net change across a, b and c years (2016,2017 and 2018) would be = a+b+(ab/100) + c + ((ac +bc)/100) + (abc/10000)

Now even if we ignore the fractional elements, net change of international would roughly be -8-3+2=9% while that of domestic would be -3+7-4= nearly 0% change. Thus, we can immediately see that international decreased by a larger percentage than domestic.

For the second question:
 
-8-3+2+6-7+4=-6% But because there are successive changes, the cumulative answer isn't exactly 6%. The compounding pushes the figures to something a little more than 6. This pushes the figures to more than 6 but still not too much . Hence 7%.

The graph shows the annual percentage change in domestic and

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The graph shows the annual percentage change in domestic and

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