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
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
