If 25% of a number is added to 78, then the result is the same number. 75% of the same number is:

Correct option is D

Given:

25% of a number added to 78 gives the number itself.

Solution:

Let the number be x

Now, 

​$$\frac{25}{100}\times x + 78 = x \\ \ \\ x-\frac{25x}{100} = 78 \\ \ \\ \frac{75x}{100} = 78 \\ \ \\ x = \frac{78\times 100}{75} = 104$$  

75% of the number ;

= $$\frac{75}{100}\times 104 = 78$$​​