Question

When 75% of a no. is added to 75, the result is the same number. The no. is

• A. 150
• B. 300
• C. 100
• D. 450

Answer 1

The Correct Option is B

To solve the problem, we need to find the number that satisfies the given condition: When 75% of this number is added to 75, the result is the same number.

Let's denote the unknown number by \( x \).

According to the problem, 75% of \( x \) plus 75 equals \( x \). This can be expressed mathematically as:

\[ 0.75x + 75 = x \]

To isolate \( x \), we reorganize the equation:

1. Subtract \( 0.75x \) from both sides:

\[ 75 = x - 0.75x \]

2. Simplify the equation:

\[ 75 = 0.25x \]

3. Solve for \( x \) by dividing both sides by 0.25:

\[ x = \frac{75}{0.25} \]

4. Calculate \( x \):

\[ x = 300 \]

Thus, the number is 300.