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If 20% of a number is added to 84, then the result is the same number. 75% of the same number is:
Question

If 20% of a number is added to 84, then the result is the same number. 75% of the same number is:

A.

88.75

B.

78.75

C.

98.75

D.

108.75

Correct option is B

Given
20% of a number added to 84 results in the number itself
Solution
Let the unknown number be x.
x = 0.20x + 84
x - 0.20x = 84
0.80x = 84
x = 840.80\frac{84}{0.80}​​
x = 105
Required Value = 0.75 × \times ​105
Required Value = 78.75
Final Answer
So the correct answer is (b)

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