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A furniture store sells only two models of desks, model A

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A furniture store sells only two models of desks, model A

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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. If the furniture store sells 2,000 desks, 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

OA E.

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AAPL wrote:
Official Guide

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. If the furniture store sells 2,000 desks, 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
$$\left\{ \matrix{
{\rm{model}}\,A\,:\,\,\,\,A = {1 \over 4}\left( {2000} \right) = 500\,\,{\rm{units}}\,\,,\,\,\$ 120/{\rm{unit}} \hfill \cr
{\rm{model}}\,{\rm{B}}\,{\rm{:}}\,\,\,\,B = 1500\,\,{\rm{units}}\,\,,\,\,{\rm{\$ }}{{120} \over {0.3}} = 400/{\rm{unit}} \hfill \cr} \right.$$

$$? = 500 \cdot \left( {120 + 3 \cdot 400} \right) = 60 \cdot {10^3} + 60 \cdot {10^4} = 66 \cdot {10^4}\,\,\,\left[ \$ \right]$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

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