Question

If 25% of a number is added to 78, then the result is the same number. 75% of the same number is:

• A. 108
• B. 48
• C. 98
• D. 78

Answer 1

Answer:

D. 78

The 75% of the same number is 78.

1. Set up the equation: Let the unknown number be $x$.
   According to the problem, adding 25% of $x$ to 78 gives the number $x$ itself:
   $0.25x + 78 = x$

2. Isolate the variable: Subtract $0.25x$ from both sides of the equation:
   $78 = x - 0.25x$
   $78 = 0.75x$

3. Identify the shortcut: Notice that $0.75x$ is exactly 75% of the number.
   Since the equation simplifies directly to $78 = 0.75x$, you don't even need to find the value of $x$ first.

Therefore, 75% of the number is 78.