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

Question

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

Bunuel · Accepted Answer

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.

Answer: D.

code19 · Answer

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

AKG1593 · Answer

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

lalania1 · Answer

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!

Bunuel · Answer

(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.

believer700 · Answer

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

Ironhide25 · Answer

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.

DavidTutorexamPAL · Answer

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!

bkastan · Answer

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

cathygeorge123 · Answer

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

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