What is the percentage change in the result when 25 is added to a number x, instead of subtracting from the same number x?

200%

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66.67%

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100%

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50%

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Cannot be determined

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Solution

The correct option is E Cannot be determined
Percentage difference $= \frac{[(x + 25) - (x - 25)]}{x - 25} \times 100$
If x=100,
% difference $= \frac{125 - 75}{75} \times 100 = 66.67 %$
If x=50
% difference $= \frac{75 - 25}{25} \times 100 = 200 %$
For different values of x, we get different answers. So, it cannot be determined.

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Question 17
A whole number is added to 25 and the same number is subtracted from 25. The sum of the resulting numbers is

(A) 0
(B) 25
(C) 50
(D) 75

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What is the percentage change in the result when 25 is added to a number x, instead of subtracting from the same number x?

The correct option is E Cannot be determinedPercentage difference =[(x+25)−(x−25)]x−25×100 If x=100, % difference =125−7575×100=66.67% If x=50 % difference =75−2525×100=200% For different values of x, we get different answers. So, it cannot be determined.