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Problem-Solving and Data Analysis / Percentages Difficulty: Medium

A number n is increased 6%. If the result is 318, what is the value of n ?

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Explanation

Choice C is correct. The decimal equivalent of 6% is 0.06. Since increasing the number n by 6% yields the number 318, this situation can be represented by the equation $n times, open parenthesis, 1 plus 0 point 0 6, close parenthesis, equals 318$ , or $n times 1 point 0 6, equals 318$ . Dividing both sides of this equation by 1.06 yields $n equals 300$ .

Choice A is incorrect. This is the result when n is increased by 60%, not by 6%. Choice B is incorrect. This is the approximate result of decreasing 318 by 6%. Choice D is incorrect. This is the approximate result of increasing 318 by 6%.