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The revenue from sales items in 1996 increases by x percent, ... 27 Sep 2016, 08:59
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C
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25% (medium)

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83% (02:36) correct 17% (02:28) wrong based on 184 sessions

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The revenue from sales items in 1996 increases by x percent, compared in 1995 and the revenue in 1997 decreases by x percent, compared in 1996. If the revenue from sales items in 1997 decreases by 4 percent, compared in 1995, what is the value of x?
A. 10 B. 15 C. 20 D. 30 E. 35
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C
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The revenue from sales items in 1996 increases by x percent, ... 27 Sep 2016, 09:03
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MathRevolution
The revenue from sales items in 1996 increases by x percent, compared in 1995 and the revenue in 1997 decreases by x percent, compared in 1996. If the revenue from sales items in 1997 decreases by 4 percent, compared in 1995, what is the value of x?
A. 10 B. 15 C. 20 D. 30 E. 35
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This is not a mixture question (search.php?search_id=tag&tag_id=114), it's percents question. Edited the tag.
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The revenue from sales items in 1996 increases by x percent, ... 27 Sep 2016, 10:41
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1995 - let the value be z
1996 - x% increase - z(1+x/100)
1997 - x% decrease - z(1+x/100)(1-x/100)
from 95 to 97 decrease is 4%
hence, [z-{z(1+x/100)(1-x/100)}]/z = 4/100
solving x = 20%

C is the answer
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The revenue from sales items in 1996 increases by x percent, ... 28 Sep 2016, 01:59
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This can be done by successive increments/decrements method:

1. From 1995 to 1996 there was an increase of X%

2. From 1996 to 1997 there was a decrease of X%

The overall difference from 1995 to 1997 is of 4% decrease.

Applying consecutive formula Effective increase/decrease = (a + b + ab/100 )%

a = x%

b = -x%

Effective value = -4%

So, -4 = (x -x -x^2/100)

Solving for X = 20
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The revenue from sales items in 1996 increases by x percent, ... 29 Sep 2016, 06:34
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==> If the revenue in creased by x% between 1995 and 1996, it is R --> R(1+x%). Since this decreased by x% in 1997, it becomes R(1+x%)(1-x%)=R(1-x^2%^2). However, this means 4% has been decreased in 1997 when compared to 1995, it becomes R --> R(1-4%). For these two be the same, x^2%^2=4%, x^2%=4 should kick in, and if you substitute %=1/100, you get x^2=400 and x=20. Therefore, the answer is C.

Answer: C
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The revenue from sales items in 1996 increases by x percent, ... 02 Oct 2016, 05:09
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Use this formula for solving these type of problem :-

A+B +A*B/100

After substituting value,

4=(+X) + (-X) + (+X)*(-X)/100, (-X) -> Revenue decrease by X%. similarly (+X) -> Revenue increase by x%.

X=20
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The revenue from sales items in 1996 increases by x percent, ... 22 Feb 2026, 04:08
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