Question

Question 52

Three times a number is 200% increase in the number, then one-third of the same number is 200% decrease in the number.

Answer 1

False
Let x be the number.
So, three times of x = 3x
$\therefore$ Difference between 3x and x = 3x - x = 2x
$\therefore$ Percentage increase in $x=\frac{2x}{x}\times 100=200\%$
If one-third of $x=\frac{1}{3}x$
$\therefore$ Difference between x and $\frac{x}{3}=x-\frac{x}{3}=\frac{2x}{3}$
$\therefore$ Percentage decrease $\frac{\frac{2x}{3}}{x}\times 100$
$=\frac{2}{3}\times 100$
= 66.66 %