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.
Similar Questions
If 55% of a number is 176 and 35% of the same number is 112, find 90% of that number.
A number is increased by 50% and then reduced to 50%, the result thus obtained is 780. Find the original number.10001040780880
Thrice a number reduced by sixty is thesame as twice the number increased byone hundred.
The number a is 60% greater than the positive number b. Thenumber c is 45% less than a. The number c is how many times b?
A number when divided by 296 gives a remainder 75. The remainder when the same number is divided by 37 is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.