rishianand7 wrote:If the integer X is rounded to the nearest hundred, the result represents a 66 2/3 % increase over the value obtained when X is rounded to the nearest ten. Which of the following is a possible value of X?
64
67
99
133
147
We can plug in the answers, which represent the value of X.
Since X rounded to the nearest 100 must be 2/3 GREATER than X rounded to the nearest 10, the correct answer must be a value that rounds UP quite a bit to the nearest 100.
Eliminate C, D and E.
Answer choice A: 64
64 rounded to the nearest 10 = 60.
64 rounded to the nearest 100 = 100.
Fractional increase = Difference/Smaller = (100-60)/60 = 40/60 = 2/3.
Success!
The correct answer is
A.
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