Question

If 75% of a number is added to 75, then the result is the number itself. The number is :
A) 100
B) 200
C) 300
D) 400

Answer 1

75% of x + 75 = x

x =75x/100 = 75

 x =  c) 300 .

Answer 2

Answer:

The 75% of the number 300 is added to the number 75 to get the result as 75.

To find:

The number which gets added to the its 75% to get the result as 75.

Explanation:

Assume number is ‘x’

As per the question  

$\begin{array} { c } { 75 \% ( x ) + 75 = x } \\\\ { \frac { 75 x } { 100 } + 75 = x } \\\\ { \frac { 3 x } { 4 } + 75 = x } \\\\ { \frac { 3 x + 300 } { 4 } = x } \\\\ { 3 x + 300 = 4 x } \\\\ { 4 x - 300 = 4 x } \\\\ { \quad x = 300 } \end{array}$

The required number is 300.

The 75% of the number 300 is added to the number 75 to get the result as 75.