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Sajjad1994
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Sajjad1994
Official Explanation

Pick the number 100 to represent the value of U.S. emissions in 1993. Then, in 1994, U.S. emissions were:

100+100*1.5% = 101.5

Next, the 1995 emissions were:

101.5+101.5*1.3% = 102.8195

The 1996 emissions were:

102.8195+102.8195*3.2% = 106.109724

So, rounded to two decimal places, emissions in 1996 were 106.11% of emissions in 1993. Note that it’s best not to round until the very end in a question like this.

The correct answer is (E).

You did much of the work already in Question I above when you calculated that, if emissions in 1993 were 100, then emissions in 1996 were 106.1097. Now, let the 1993 emissions be x percent of the 1996 emissions. Thus:

100=x%(106.1097)

\(x=\frac{100}{106.1097}(100)\)

\(x=94.24\)

The correct answer is (B).
­Hey chetan2u Sajjad1994, can u tell me why we r taking 1993 us emissions as 100.We could have done it like this when it would have asked the %age change between 1996 and 1993 becz then 19993 emissions would have got cancelled.but here, its asking whats  %of 1993 emissions is 1996 emissions.So, here we need absolute value of 1993 emissions,right?Where am I going wrong?
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­Hey chetan2u Sajjad1994, can u tell me why we r taking 1993 us emissions as 100.We could have done it like this when it would have asked the %age change between 1996 and 1993 becz then 19993 emissions would have got cancelled.but here, its asking whats  %of 1993 emissions is 1996 emissions.So, here we need absolute value of 1993 emissions,right?Where am I going wrong?
­This is a successive percentage question so we have to calculate it year over year to reach the correct %age change. That's why we need to assign and easy value to start our calculation and 100 is best while dealing with %age questions. We cannot merely take it as 3.2/2 or 2/3.2 etc.

 
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­1. U.S. emissions in 1996 were [106.11%] of U.S. emissions in 1993.

Use the calculator: 1.015 (year 1994) * 1.013 (year 1995) * 1.032 (year 1996) = 1.0611 = 106.11%

2. U.S. emissions in 1993 were [94.24%] of U.S. emissions in 1996.

\(\frac{year 1993}{year 1996} = \frac{1}{1.0611} = 0.9424\) = 94.24%­
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Sajjad1994
Official Explanation

Pick the number 100 to represent the value of U.S. emissions in 1993. Then, in 1994, U.S. emissions were:

100+100*1.5% = 101.5

Next, the 1995 emissions were:

101.5+101.5*1.3% = 102.8195

The 1996 emissions were:

102.8195+102.8195*3.2% = 106.109724

So, rounded to two decimal places, emissions in 1996 were 106.11% of emissions in 1993. Note that it’s best not to round until the very end in a question like this.

The correct answer is (E).

You did much of the work already in Question I above when you calculated that, if emissions in 1993 were 100, then emissions in 1996 were 106.1097. Now, let the 1993 emissions be x percent of the 1996 emissions. Thus:

100=x%(106.1097)

\(x=\frac{100}{106.1097}(100)\)

\(x=94.24\)

The correct answer is (B).
­Hi Sajjad1994 thanks for the explanation. For such kind of questions where options are close, would you recommend using the calculator. For instance, if the choices were not this close, a simple addition of percentages would have sufficed.

But even with cumulative percentage changes, it could be approximated that it would be slightly more than 6% for Q1, and a close guess can be made to arrive at right answer.

I just feel the calculator provided in GMAT UI is very clunky and it takes too much time clicking and operating it.

Let me know your thoughts. Thanks.
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