Question

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

• A. True
• B. False

Answer 1

The 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 $x=\frac{2x}{x}\times 100=200\%$
Now, one third $x=\frac{1}{3}x$
So, difference between $x$ and $\frac{x}{3}=\frac{2x}{3}$
So, decreased percentage $=\frac{\frac{2x}{3}}{x}\times 100=\frac{2}{3}\times 100=66.66\%$