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Last month, the selling price of a certain product was $12. This mont

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New post 09 Aug 2019, 00:51
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[GMAT math practice question]

Last month, the selling price of a certain product was $12. This month, the product’s price was cut by 20%. 165 more units of the product were sold this month than last month, and the total sales of the product this month were $420 higher than last month. How many units of the product were sold last month?

A. 400
B. 445
C. 485
D. 500
E. 520

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New post 09 Aug 2019, 01:07
0.8×12%=9.6$

(X+165)×9.6=420+12X
2.4X=1164
X=485
Option C

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New post 09 Aug 2019, 01:34
Product SP last month: $12
Units sold last month : x
Product SP this month : 80% of $12 = $9.6
As sales of the product this month were $420 higher than last month and number of units sold 165 more than last month:
Equation is as follows:

12x - 9.6(x+165) =420
2.4x = 1164 => x = 485
Answer: option C
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Re: Last month, the selling price of a certain product was $12. This mont  [#permalink]

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New post 12 Aug 2019, 01:07
=>

Let \(n\) be the number of units of the product sold last month.

Then \((n+165)(12)(\frac{1-20}{100}) – n*12 = 420.\)

Simplifying yields \((n+165)(12)(0.8) – 12n = 165*12*(0.8) – 12n*(0.2) = 420.\) So, \(12n*(0.2) = 165*12*(0.8) – 420\)

We solve this equation to find \(n = 485.\)

Therefore, the answer is C.
Answer: C
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Re: Last month, the selling price of a certain product was $12. This mont   [#permalink] 12 Aug 2019, 01:07
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