When 175 is added to 12.5% of a number, the resultant is the number itself. What is the value of the number?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 200
Let's denote the unknown number as "x". According to the problem, when we add 175 to 12.5% of x, we get x itself. We can write this as an equation:
x = 0.125x + 175
To solve for x, we can simplify the equation by subtracting 0.125x from both sides:
x - 0.125x = 175
Simplifying the left-hand side gives:
0.875x = 175
Dividing both sides by 0.875 gives:
x = 200
Therefore, the value of the number is 200.