If 25% of a number is added to 78, then the result is the same number. 75% of the same number is:
78
To find 75% of a number where adding 25% of the number to 78 results in the number itself, follow these steps:
Let the number be x.
According to the problem:
25% of x + 78 = x
Express 25% of x as a fraction:
25100×x + 78 = x
Simplifying gives:
x4 + 78 = x
Subtract x4 from both sides:
78 = x - x4
Rewrite the right side:
78 = 4x4 - x4
Simplify:
78 = 3x4
Multiply through by 4 to eliminate the fraction:
312 = 3x
Solve for x by dividing both sides by 3:
x = 104
Now, find 75% of x:
75% of x = 75100×104
Simplify:
75% of 104 = 34×104
Calculate:
3124 = 78
Therefore, 75% of the number is 78.
Important Questions from Percentage
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
