Question

Three times a number is $$200\%$$ increase in the number, and thenone third of the same number is $$200\%$$ decrease in the number.

Answer 1

Correct option is B. False
The given statement is false.
Suppose, the number $$=x$$
Three times of $$x=3x$$
Difference between $$3x$$ and $$x=2x$$
Increased percentage in $$x=\dfrac{2x}{x}\times 100=200\%$$
Now, one third $$x=\dfrac{1}{3}x$$
So, difference between $$x$$ and $$\dfrac{x}{3}=\dfrac{2x}{3}$$
So, decreased percentage $$=\dfrac{\dfrac{2x}{3}}{x}\times 100=\dfrac{2}{3}\times 100=66.66\%$$