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If 25% of a number is added to 60, then the result is the same number. 80% of the same number is:
Question

If 25% of a number is added to 60, then the result is the same number. 80% of the same number is:

A.

94

B.

34

C.

84

D.

64

Correct option is D

Given:

25% of a number + 60 = the number

Solution: 

Let the number be x

25% of x = 25100×x=x4\frac {25}{100} × x = \frac x4​​

So, 

x4+60=x\frac x4 + 60 = x​​

60=xx460 = x - \frac x4​​

60=3x460 = \frac{3x}4​​

x = 60×43=80\frac{ 60 × 4}3 = 80​​

Now,
80% of x = 80% of 80 = 80100×80\frac{80}{100} × 80​ = 64

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