Bunuel
The exact cost price to make each unit of a widget is $7.6xy7, where x and y represent single digits. What is the value of y?
(1) When the cost is rounded to the nearest cent, it becomes $7.65.
(2) When the cost is rounded to the nearest tenth of a cent, it becomes $7.65.
The cost is $7.6xy7, and x and y are single digits.
We need to answer the question:
y = ?
Statement One Alone:=> When the cost is rounded to the nearest cent, it becomes $7.65.
If $7.6xy7 = $7.6497, then after being rounded to the nearest cent, it becomes $7.65. In this case, y = 9.
Whereas, if $7.6xy7 = $7.6507, then after being rounded to the nearest cent, it becomes $7.65 again. In this case, y = 0.
Statement one is not sufficient. Eliminate answer choices A and D.
Statement Two Alone:=> When the cost is rounded to the nearest tenth of a cent, it becomes $7.65.
In this case, the rounded value actually is $7.650, which, of course, simplifies to $7.65.
The place of a tenth of a cent is the third digit right to the decimal point, so the fourth digit right to the decimal point has to be considered during the rounding process. Since that fourth digit is 7, which is greater than or equal to 5, we have to round up the third digit. So, before being rounded, y must have been 9.
(Note: We don’t have to worry about the value of x because the question is about the value of y.)
Answer: B