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# A furniture store sells only two models or desks, model A and model B

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Re: A furniture store sells only two models or desks, model A and model B [#permalink]
carcass wrote:
A furniture store sells only two models or desks, model A and model B The selling price of model A is $120, which is 30 percent of the selling price of model B If the furniture store sells 2,000 desks, $$\frac{3}{4}$$ of which are model B, what is the furniture store's total revenue from the sale of desks? (A)$114,000

(B) $186,000 (C)$294,000

(D) $380,000 (E)$660,000

We are given that the selling price of model A is $120, which is 30% of the selling price of model B. Thus, the selling price of model B is: (0.3)B = 120 B = 120/0.3 =$400

We are also given that (3/4)(2,000) = 1500 model B desks were sold, and thus 2,000 - 1500 = 500 model A desks were sold.

Therefore, the total revenue for the desks is 120 x 500 + 400 x 1500 = 60,000 + 600,000 = 660,000 dollars.

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Re: A furniture store sells only two models or desks, model A and model B [#permalink]
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Hi All,

We're told that a furniture store sells only two models of desks, model A and model B. The selling price of model A is $120, which is 30 percent of the selling price of the model B - and the furniture store sells 2,000 desks, 3/4 of which are model B. We're asked for the TOTAL revenue of the furniture store from the sale of desks. This question can be approached in a couple of different ways, but the answer choices are written in such a way that can beat it with a bit of critical thinking and a little Arithmetic. To start, IF all 2000 desks were sold for$120 each, then the total revenue would be $240,000. That immediately eliminates Answers A and B. The prompt tells us that the cost of a Model B desk is MORE THAN 3 TIMES that of a Model A desk AND that MOST of the desks sold are Model Bs... IF we sold 1000 desks at$120 each and 1000 desks at $360 each, then the total revenue would be$120,000 + $360,000 =$480,000. However, the price of Model B is MORE than $360 AND we actually sold far MORE Model B desks than Model A desks. Thus, the revenue would be a LOT higher than$480,000. There's only one answer that fits...

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Re: A furniture store sells only two models or desks, model A and model B [#permalink]
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Re: A furniture store sells only two models or desks, model A and model B [#permalink]
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