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GMAT Problem Solving (PS) | An air-conditioning unit costs $470. On December there was a discount

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Bunuel wrote:

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


Effective percentage increase/decrease is\(+16 - 16 -\frac{16*16}{100} = -2.56\) %

So, The price of the AC unit is 100\(- \frac{2.56}{100}*470 ~ 458\)

Thus, the correct answer must be $ 458

Hence, the answer must be (A) 458
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