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Question
Three times a number is 200% increase in the number, then one-third of the same number is 200% decrease in the number.
Options
True
False
Solution
This statement is False.
Explanation:
Let x be the number.
So, three times of x = 3x
Difference between 3x and x = 3x – x = 2x
∴ Difference between 3x and x = 3x – x = 2x
∴ Percentage increase in `x = (2x)/x xx 100 = 200%`
If one-third of `x = 1/3 x`
∴ Difference between `x` and `x/3 = x - x/3 = (2x)/3`
∴ Percentage decrease = `((2x)/3)/x xx 100`
= `2/3 xx 100`
= 66.66%
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