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Math Expert V
Joined: 02 Sep 2009
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What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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Difficulty:   15% (low)

Question Stats: 80% (01:17) correct 20% (01:18) wrong based on 544 sessions

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What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

(2) Last year Company X produced 565,000 cars and 406,800 trucks.

Data Sufficiency
Question: 67
Category: Arithmetic Ratio; Percents
Page: 157
Difficulty: 600

The Official Guide For GMAT® Quantitative Review, 2ND Edition

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Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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SOLUTION

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

(cars)*1.08 = 1.5*(trucks);
(cars)/(trucks) = 1.5/1.08.

Sufficient.

(2) Last year Company X produced 565,000 cars and 406,800 trucks: (cars)/(trucks) = 565,000/406,800. Sufficient.

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Manager  Joined: 23 Jun 2008
Posts: 80
Location: Australia
Schools: AGSM '21
GMAT Date: 04-01-2014
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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1

Starting with statement (2)

Number of trucks and number of cars are provided, so statement 2 ALONE is sufficient to calculate the ratio.

Statement (1)

We do not know the actual numbers of cars (c) or trucks(t) produced last year, however the information we are given can be written as 1.08c = 1.5t which is sufficient to calculate the ratio.

So the answer is D: Both Statement (1) and Statement(2) are ALONE sufficient.

Also note that we don't need to do the math to calculate the ratios.
Of course let me know if there was some trap that I missed _________________

Kudos (+1) if you find this post helpful. Manager  Joined: 20 Dec 2013
Posts: 224
Location: India
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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S1: Let no. of cars = x & no. of trucks = y
We're given, 1.08x=150% of y
We can easily calculate x/y or y/x.Sufficient.

S2: We're given the no. of cars and trucks.We can simply find the ratio.Sufficient.

Ans.D
Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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SOLUTION

What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

(cars)*1.08 = 1.5*(trucks);
(cars)/(trucks) = 1.5/1.08.

Sufficient.

(2) Last year Company X produced 565,000 cars and 406,800 trucks: (cars)/(trucks) = 565,000/406,800. Sufficient.

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Manager  Joined: 17 Nov 2013
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Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!
Math Expert V
Joined: 02 Sep 2009
Posts: 58453
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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lalania1 wrote:
on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

Say, last year, 100 cars were produced. We are told that, if the number of cars produced had been 8 percent greater, so if there were 108 cars produced instead of 100, then this 108 cars would have been 150% of the number of trucks produced: 108 =1.5*(trucks) --> (trucks) = 72.

Ratio = 100/72 = 25/18. The same as 1.5/1.08 = 25/18.

Hope it's clear.
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Concentration: Marketing, Finance
GMAT 1: 670 Q48 V34 Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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Bunuel wrote:
lalania1 wrote:
on stmt1, can you talk more about the logic, i feel like mechanically i can do it. but i want to know more, if you can add some color to stmt1 logic would be great.
thanks!

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X:

Say, last year, 100 cars were produced. We are told that, if the number of cars produced had been 8 percent greater, so if there were 108 cars produced instead of 100, then this 108 cars would have been 150% of the number of trucks produced: 108 =1.5*(trucks) --> (trucks) = 72.

Ratio = 100/72 = 25/18. The same as 1.5/1.08 = 25/18.

Hope it's clear.

Hi Bunuel,

This is kinda off topic but I require your guidance.

Almost all the OG question are either below 600 level or 600 level questions.

So is going through the MGMAT 9 book set and the OG questions enough to secure a 700+ score or should I refer to a book which has a collection of question of
700+ level.

TIA
Intern  Joined: 19 Mar 2017
Posts: 1
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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Hi All -

I'm having trouble understanding how this is sufficient:

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

I understand that if cars produced were 8 percent greater, (Cars)*(1.08) = (Trucks)*(1.50). But doesn't that only tell us what the ratio would have been if the production WAS 8 percent greater? What does that tell us about the ratio of cars:trucks if the car production is what is currently (at 100%)?

I'm in my preliminary study stages, so sorry if this is a remedial question.
examPAL Representative P
Joined: 07 Dec 2017
Posts: 1153
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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Ironhide25 wrote:
Hi All -

I'm having trouble understanding how this is sufficient:

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

I understand that if cars produced were 8 percent greater, (Cars)*(1.08) = (Trucks)*(1.50). But doesn't that only tell us what the ratio would have been if the production WAS 8 percent greater? What does that tell us about the ratio of cars:trucks if the car production is what is currently (at 100%)?

I'm in my preliminary study stages, so sorry if this is a remedial question.

Hey Ironhide25
As you correctly say, this tells us what would have been. But we can learn from this, using your equation:
(Cars)*(1.08) = (Trucks)*(1.50) ==> Cars/Trucks=1.5/1.08 - that's your answer!
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Intern  B
Joined: 25 Jul 2017
Posts: 24
Re: What was the ratio of the number of cars to the number of trucks produ  [#permalink]

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Bunuel wrote:
What was the ratio of the number of cars to the number of trucks produced by Company X last year?

(1) Last year, if the number of cars produced by Company X had been 8 percent greater, the number of cars produced would have been 150 percent of the number of trucks produced by Company X.

(2) Last year Company X produced 565,000 cars and 406,800 trucks.

Data Sufficiency
Question: 67
Category: Arithmetic Ratio; Percents
Page: 157
Difficulty: 600

The Official Guide For GMAT® Quantitative Review, 2ND Edition

I am often confused by Ratio DS questions as it appears that there are cases where you need an actual number to solve the question while other times (statement 1) we are given percentages. What type of question would make statement 1 NOT SUFFICIENT? I’ve seen questions where there is a vague ratio but in reality, there is only one set of values can satisfy that relationship thus we can determine actual numbers.

Posted from my mobile device Re: What was the ratio of the number of cars to the number of trucks produ   [#permalink] 14 Oct 2019, 16:48
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