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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.

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: What was the ratio of the number of cars to the number of tr [#permalink]
30 Jan 2014, 22:42

Expert's post

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:

Re: What was the ratio of the number of cars to the number of tr [#permalink]
30 Jan 2014, 23:21

1

This post received KUDOS

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

Re: What was the ratio of the number of cars to the number of tr [#permalink]
01 Feb 2014, 09:18

Expert's post

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:

Re: What was the ratio of the number of cars to the number of tr [#permalink]
21 Jun 2014, 09:18

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!

Re: What was the ratio of the number of cars to the number of tr [#permalink]
21 Jun 2014, 10:14

Expert's post

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.