Question : If 33.33 % of a number is added to 16, the result is the number itself. Find the number.
Option 1: 30
Option 2: 33
Option 3: 36
Option 4: 24
Correct Answer: 24
Solution :
Given: If 33.33 % of a number is added to 16, then the result is the number itself.
So, if $\frac{1}{3}$ of a number is added to 16, then the result is the number itself.
Let the number be $x$.
According to the question,
$x=\frac{x}{3}+16$
⇒ $x-\frac{x}{3}=16$
⇒ $\frac{2x}{3}=16$
⇒ $x=16×\frac{3}{2}$
⇒ $x=24$
Hence, the correct answer is 24.
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