When 75% of a number is added to 75, then resultant number is the original number. The number is :(A) 150 (B) 300 (C) 100 (D) 45
Question
When 75% of a number is added to 75, then resultant number is the original number. The number is :(A) 150 (B) 300 (C) 100 (D) 45
Solution
Let's denote the original number as x.
According to the problem, 75% of x (which is 0.75x) added to 75 equals the original number x.
So, we can write the equation as follows:
0.75x + 75 = x
To solve for x, we can start by subtracting 0.75x from both sides of the equation to isolate x on one side:
75 = x - 0.75x
This simplifies to:
75 = 0.25x
Then, to solve for x, we divide both sides of the equation by 0.25:
x = 75 / 0.25
x = 300
So, the original number is 300. Therefore, the answer is (B) 300.
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