Question 12

The value of n is 65.

To find n, we start by setting up the equation based on the information given: 0.32n = 20.8. Solving for n yields n = 20.8 / 0.32, which results in n = 65.

A) 64

Option A is incorrect because when substituting n = 64 into the equation, 32% of 64 equals 20.48, which does not match the given value of 20.8.

B) 65

Option B is correct. Substituting n = 65 into the equation gives 32% of 65, which equals 20.8, matching the original statement perfectly.

C) 66

Option C is incorrect. If we substitute n = 66, the calculation results in 32% of 66, which equals 21.12, thus failing to equal the required value of 20.8.

D) 154

Option D is incorrect as well. Substituting n = 154 yields 32% of 154, which is 49.28, far exceeding the value of 20.8 stated in the problem.

Conclusion

The correct answer is 65 because it correctly satisfies the equation derived from the given percentage condition. All other options fail to equate to the specified amount, confirming that 65 is the only valid solution to the problem presented.