If 125% of x is 80 and x is n % of 400, what is the value of n?

Explanation

To solve this problem, we start by calculating the value of x from the equation 125% of x = 80. Converting 125% to a decimal gives 1.25, so the equation becomes 1.25x = 80. Solving for x, we divide both sides by 1.25 to get x = 64.Next, we use the information that x is n% of 400. This can be expressed as x = (n/100) * 400. Substituting the value of x (64) into the equation, we have 64 = (n/100) * 400. Solving for n, we divide both sides by 400 to get 0.16 = n/100. Finally, multiplying both sides by 100 gives n = 16.Therefore, the correct answer is Option C (16), as this is the percentage that x (64) represents of 400. The other options are incorrect because they result from miscalculations of the percentage relationship.