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02 Feb 2016, 02:02
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The product of x and y is a constant. If the value of x is increased by 50%, by what percentage must the value of y be decreased?
A. 50%
B. 40%
C. 33 1⁄3%
D. 25%
E. 12 1⁄2%
A. 50%
B. 40%
C. 33 1⁄3%
D. 25%
E. 12 1⁄2%
02 Feb 2016, 02:06
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Product of x and y = xy
If the value of x is increased by 50% , value of y needs to be = xy/(1.5 x ) = 2/3 y
Decrease in value of y = y - 2/3 y = 1/3 y
% decrease in value of y = (1/3 y)/y * 100%
=33 1⁄3%
Answer C
If the value of x is increased by 50% , value of y needs to be = xy/(1.5 x ) = 2/3 y
Decrease in value of y = y - 2/3 y = 1/3 y
% decrease in value of y = (1/3 y)/y * 100%
=33 1⁄3%
Answer C
deepthiraghav
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02 Feb 2016, 23:47
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Say xy=a
Then 50% increase in x =150x/100=1.5x
Hence, 1.5xy=1.5a
To maintain the constant as a, we shud multiply it by 1/1.5;
So 1.5xy*1/1.5= a
1/1.5 is equivalent to 0.667
Therefore,y scud be decreased by 0.33
Or 33.33%
Then 50% increase in x =150x/100=1.5x
Hence, 1.5xy=1.5a
To maintain the constant as a, we shud multiply it by 1/1.5;
So 1.5xy*1/1.5= a
1/1.5 is equivalent to 0.667
Therefore,y scud be decreased by 0.33
Or 33.33%
