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An air-conditioning unit costs $470. On December there was a discount for Christmas of 16%. Six months later, the holiday season was over so the company raised the price of the air-conditioning by 16%. How much will an air-conditioning unit cost in November?
A. $458
B. $470
C. $472
D. $484
E. $491
Correct Answer: A
Explanation/Reference:
Explanation:
Pay attention, when you raise a number by X% and than you reduce X% you don’t get the original number again because the second time you took X% off you reduced it from a larger number thus answer A is not the correct one, let’s check:
470 x 0.84 = 394.8.
394.8 x 1.16 = approximately $458.
A simpler way to solve this problem is by knowing that the price would be lower than the original price because we increased and decreased the same amount of percentage.
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