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If 25% of a number is added to 72, then the result is the same number. 70% of the same number is:
Question

If 25% of a number is added to 72, then the result is the same number. 70% of the same number is:

A.

97.2

B.

87.2

C.

37.2

D.

67.2

Correct option is D

Given:

25% of a number + 72 = The same number

Let the number be 'x'.

Formula Used:

25% of x = 0.25x

The equation becomes: 0.25x + 72 = x

Solution:

Set up the equation as per the given condition:

0.25x + 72 = x

2. Subtract 0.25x from both sides to solve for x:

72 = x - 0.25x

72 = 0.75x

x=720.75x = \frac{72}{0.75}​​

x = 96

4. Now, we need to find 70% of the same number (x):

70% of x = 0.70 × x

70% of x = 0.70 × 96

70% of x = 67.2

Thus, 70% of the number is 67.2.

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