Question

When 75% of a number is added to 75, the result is the same as the number. Find the number.

• A. 150
• B. 300
• C. 100
• D. 450

Hint:

When a percentage of a number plus/minus a constant equals the number, move the percentage term to the other side first:
$x - (\textpercentage) x = \textconstant$, then solve.

Answer 1

The Correct Option is B

Step 1: Translate the statement into an equation.
Let the number be $x$. “75% of $x$ added to 75 equals $x$” ⇒ $0.75x + 75 = x$.
Step 2: Solve for $x$.
$x - 0.75x = 75 ⇒ 0.25x = 75 ⇒ x = \dfrac{75}{0.25} = 300$.
\[ \boxed{300} \]