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If 20% of a number is added to 96, then the result is the same number. 65% of the same number is
Question

If 20% of a number is added to 96, then the result is the same number. 65% of the same number is

A.

98

B.

88

C.

78

D.

108

Correct option is C

Given:
20% of a number added to 96 gives the number itself.
Solution:
Let the number be x.
​20100×x+96=x\frac{20}{100} × x + 96 = x​​
0.20x + 96 = x
x - 0.20x = 96
0.80x = 96
x = 960.80\frac{96}{0.80}​​
x = 120
Now, we find 65% of the number:
65100\frac{65}{100}​ × 120 = 78
Final Answer
So the correct answer is (c)

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