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
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
