In year Y imported machine tools accounted for 25 percent of total mac

Question

In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

A. \(\frac{9x}{80}\)

B. \(\frac{13x}{20}\)

C. \(\frac{80}{9x}\)

D. \(\frac{20x}{13}\)

E. \(\frac{80x}{9}\)

Show Answer

Official Answer

E

A.  \frac{9x}{80}

B.  \frac{13x}{20}

C.  \frac{80}{9x}

D.  \frac{20x}{13}

E.  \frac{80x}{9}

GMATBusters · Accepted Answer

In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

A. \(\frac{9x}{80}\)

B. \(\frac{13x}{20}\)

C. \(\frac{80}{9x}\)

D. \(\frac{20x}{13}\)

E. \(\frac{80x}{9}\)

Show Answer

Official Answer

E

Let total sales of all machine tools in the United States = y 
imported machine tool = y/4
Japanese imports = 45/100 * y/4 = 9y/80
As given Japanese imports = x
So, x= 9y/80
hence y = 80x/9

Answer E

Archit3110 · Answer

from given info 
45% of 25% of total sales = x
45*25/10000 = x
80*x/9
IMO E

In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

A. \(\frac{9x}{80}\)

B. \(\frac{13x}{20}\)

C. \(\frac{80}{9x}\)

D. \(\frac{20x}{13}\)

E. \(\frac{80x}{9}\)

Show Answer

Official Answer

E

A. 9x/80

B. 13x/20

C. 80/9x

D. 20x/13

E. 80x/9

unraveled · Answer

In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

A. \(\frac{9x}{80}\)

B. \(\frac{13x}{20}\)

C. \(\frac{80}{9x}\)

D. \(\frac{20x}{13}\)

E. \(\frac{80x}{9}\)

Show Answer

Official Answer

E

A.  \frac{9x}{80} 
B.  \frac{13x}{20} 
C.  \frac{80}{9x} 
D.  \frac{20x}{13} 
E.  \frac{80x}{9}

Let total sales = S

Now portion of Imports = 25% of S
Portion of Japanese imports in total imports = 45% of 25% of S
x = 0.45 * 0.25 * S
S =  \frac{x }{0.45 * 0.25} 
=  \frac{80x }{ 9}

Answer E.

madgmat2019 · Answer

the total sales of all machine tools in the United States be a

From given we can conclude that, x=45/100(25a/100) = 9a/80
So a=80x/9

OA:E

exc4libur · Answer

imported=0.25total
0.45*imported=x
0.45(0.25total)=x
total=x/0.25*0.45
total=x/(1/4)(9/20)
total=80x/9

Ans (E)

gurudabl · Answer

Let total machine-tools be "TM".

25% TM = Imported machine tools

45% * 25% TM = Japanese imports

45% * 25% TM = x

Basically what is "TM"?
(45/100) * (25/100) TM = x (Cross multiply and cancel the values)
TM = (80*x)/9 Therefore, the answer is option E.

Please correct me if I am wrong.
Dablu

suchithra · Answer

Let total machine-tools sales in the United States be Z & imported machine tool be Y

Y = \frac{1}{4}*Z 
 X= \frac{45}{100}*Y

Therefore  X= \frac{45}{100}*\frac{1}{4}*Z

i.e Z= \frac{80}{9} *x

Answer is E

eakabuah · Answer

Let total machine sales be z.
Then we know that 0.25z=total machine imports into US that year.
In addition, we know that 45% of that total imports came from Japan.
Hence Japanese machine tools imports =0.45*0.25z
=9/20 * 1/4 z
= 9z/80
But we know from the question stem that the total Japanese machine tools imports =x
Hence x=9z/80
Implying z = 80x/9

The right answer is option E.

Posted from my mobile device

CareerGeek · Answer

Let the total sales of machine tools in USA = y

Imported machine tools = 25% of y = y/4

Japanese imports accounted for 45% of imported machine tools = 45% of y/4 = x
—> 45/100*y/4 = x
—> 9y/80 = x
—> y = 80x/9

IMO Option E

Posted from my mobile device

ScottTargetTestPrep · Answer

Let the total sales of all machine tools in the U.S. = m billion dollars. Then the total sales of the imported machine tools in the U.S. = 0.25m billion dollars. Since Japanese imports of x billion dollars accounted for 45 percent of the total sales of the imported machine tools in the U.S., we can create the equation:

x = 0.45(0.25m)

x = (9/20)(m/4)

x = 9m/80

80x/9 = m

Answer: E

stne · Answer

Let total sales for all machine tools be  y

Then sales from imported machine tools  = \frac{25}{100}y

Sales from Japanese imported machine tools  = \frac{45}{100}*\frac{25}{100}y=x

y = \frac{400}{45}x

= \frac{80}{9}x

Ans E

Hope it helps.

Bunuel · Answer

In year Y imported machine tools accounted for 25 percent of total machine-tools sales in the United States, and Japanese imports accounted for 45 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine tools in the United States was how many billion dollars?

A. \(\frac{9x}{80}\)

B. \(\frac{13x}{20}\)

C. \(\frac{80}{9x}\)

D. \(\frac{20x}{13}\)

E. \(\frac{80x}{9}\)

Show Answer

Official Answer

E

A. 9x/80
B. 13x/20
C. 80/9x
D. 20x/13
E. 80x/9

Step by step:

Sales of imported tools = 25% of the total sales = 0.25*{total} = {total}/4;

Sales of Japanese tools = 45% of the sales of imported tools = 0.45*{total}/4 = 9/20*{total}/4 = 9*{total}/80.

Since the sales of of Japanese tools was x, then 9*{total}/80 = x --> {total} = 80x/9.

Answer: E.

bumpbot · Answer

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

In year Y imported machine tools accounted for 25 percent of total mac

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In year Y imported machine tools accounted for 25 percent of total mac

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards