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If 20% of a number is added to 78, then the result is the same number. 70% of the same number is:
Question

If 20% of a number is added to 78, then the result is the same number. 70% of the same number is:

A.

88.25

B.

78.25

C.

98.25

D.

68.25

Correct option is D

Given
20% of a number + 78 = The number itself
Solution
Let the number be x.
0.2x + 78 = x
x - 0.2x = 78
0.8x = 78
x = 780.8=97.5 \frac{78}{0.8} = 97.5​​
Now, find 70% of the number:
70%ofx=0.7×97.570\% of x = 0.7 \times 97.5​​
Value = 68.25
Final Answer
So the correct answer is (d)

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