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# Last month, a certain manufacturer sold a total of 1,000 units of its

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Math Expert
Joined: 02 Sep 2009
Posts: 61302
Last month, a certain manufacturer sold a total of 1,000 units of its  [#permalink]

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17 Jan 2020, 01:37
00:00

Difficulty:

65% (hard)

Question Stats:

65% (01:52) correct 35% (01:59) wrong based on 37 sessions

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Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was \$1,500, and the selling price of each unit of product B was \$2,000. How many units of product A did the manufacturer sell last month?

(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.

(2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

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Joined: 10 Dec 2017
Posts: 178
Location: India
Re: Last month, a certain manufacturer sold a total of 1,000 units of its  [#permalink]

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17 Jan 2020, 08:32
Bunuel wrote:
Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was \$1,500, and the selling price of each unit of product B was \$2,000. How many units of product A did the manufacturer sell last month?

(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.

(2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

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A+B=1000
A+(1000-A)=1000
Total Revenue=A*1500+(1000-A)*2000
From 1
A*1500+(1000-A)*2000=1,600,000
A=800
Sufficient
From 2
1500*A=3*(1000-A)*2000
A=800
Sufficient
D:)
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Joined: 18 Aug 2017
Posts: 5940
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Last month, a certain manufacturer sold a total of 1,000 units of its  [#permalink]

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18 Jan 2020, 00:58
given
Pa+Pb = 1000
Sa= 1500
Sb = 2000
find Pa

#1Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.
1500*Pa+2000*Pb = 16*10^5
solve for Pa sufficient
#2
Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

1500*Pa= 3*2000*Pb
solve for Pa
sufficient
IMO D

Bunuel wrote:
Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was \$1,500, and the selling price of each unit of product B was \$2,000. How many units of product A did the manufacturer sell last month?

(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.

(2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

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Joined: 24 Nov 2016
Posts: 1218
Location: United States
Re: Last month, a certain manufacturer sold a total of 1,000 units of its  [#permalink]

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22 Jan 2020, 04:55
Bunuel wrote:
Last month, a certain manufacturer sold a total of 1,000 units of its two products, A and B. The selling price of each unit of product A was \$1,500, and the selling price of each unit of product B was \$2,000. How many units of product A did the manufacturer sell last month?

(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000.

(2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B.

a+b=1000
1500a+2000b=sales

(1) Last month, the manufacturer's total revenue from the sale of units of products A and B was \$ 1,600,000. sufic

1500a+2000b=1,600,000; substitute a=1000-b; b=200, a=800

(2) Last month, the manufacturer's total revenue from the sale products A was 3 times the manufacturer's revenue from the sale of units of product B. sufic

1500a+2000b=1,600,000; substitute 1500a=3(2000b); b=200, a=800

Ans (D)
Re: Last month, a certain manufacturer sold a total of 1,000 units of its   [#permalink] 22 Jan 2020, 04:55
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