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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

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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.

This problem has been solved

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