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# What was the ratio of the number of cars to the number of trucks produ

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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
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
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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
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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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
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!
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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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lalania1
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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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
Bunuel
lalania1
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
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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
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.
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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
Ironhide25
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:
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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
Bunuel
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.

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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
bkastan
Bunuel
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.

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

bkastan, this question is asking about the ratio of cars to trucks. Hence a percentage or a ratio that expresses a relative comparison between the two would be sufficient. However if the question had asked the number of cars or trucks or even the total number of vehicles produced by company X, then the first statement would not be sufficient. Hence if the question were about finding the value of any entity, our first statement would surely not be sufficient. Always be cognizant of what is asked and seeking to answer what is asked.

Hope this helps!
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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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Re: What was the ratio of the number of cars to the number of trucks produ [#permalink]
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