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# A major airplane manufacturer announced the sale of 150 small airliner

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Joined: 02 Sep 2009
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A major airplane manufacturer announced the sale of 150 small airliner  [#permalink]

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10 Feb 2015, 07:48
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Difficulty:

65% (hard)

Question Stats:

66% (02:56) correct 34% (02:56) wrong based on 164 sessions

A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at$175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners? A. 29% B. 41% C. 58% D. 69% E. 70% Kudos for a correct solution. _________________ Manager Status: Gmat Prep Joined: 22 Jul 2011 Posts: 74 Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 10 Feb 2015, 09:10 1 Answer is (money from mid and large plane)/(total money from all the planes)x 100 =$$(175*75+220*60)/(125*150+175*75+220*60) * 100$$ = 58.4% you could just multiply add divide to get answer. However sometimes its much better to make it easy we should see if we have any common terms 125*150=(5*5*5)*(2*3*5*5) 175*75=(5*5*7)*(3*5*5) 220*60=(2*2*11*5)*(2*2*3*5) 3*5*5 is common cancel it Ans becomes (175+176)/(176+175+250)*100 =~=~ 350/600*100=~=~7/12*100=60% >>> 58% is closest. Usually you should check to see if the ans options are not close by, if we have options such at 58% 57% 59% then we have to multiply. Intern Joined: 14 Aug 2013 Posts: 24 Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 11 Feb 2015, 06:54 ynaikavde wrote: Answer is (money from mid and large plane)/(total money from all the planes)x 100 =$$(175*75+220*60)/(125*150+175*75+220*60) * 100$$ = 58.4% you could just multiply add divide to get answer. However sometimes its much better to make it easy we should see if we have any common terms 125*150=(5*5*5)*(2*3*5*5) 175*75=(5*5*7)*(3*5*5) 220*60=(2*2*11*5)*(2*2*3*5) 3*5*5 is common cancel it Ans becomes (175+176)/(176+175+250)*100 =~=~ 350/600*100=~=~7/12*100=60% >>> 58% is closest. Usually you should check to see if the ans options are not close by, if we have options such at 58% 57% 59% then we have to multiply. Is there any other way to solve this. Calculation will take time. SVP Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1825 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 11 Feb 2015, 19:42 Answer = C. 58% Equation setup would be as follows: $$\frac{175*75 + 60*220}{150*125 + 75*175 * 60*220} * 100$$ The above equation has 75 in common; divide the complete equation by 75 $$\frac{175+176}{175+176+250}* 100 \approx{\frac{350}{600} * 100} \approx{\frac{700}{12}} = 58%$$ _________________ Kindly press "+1 Kudos" to appreciate Math Expert Joined: 02 Aug 2009 Posts: 7108 Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 11 Feb 2015, 20:37 1 arunrnair wrote: ynaikavde wrote: Answer is (money from mid and large plane)/(total money from all the planes)x 100 =$$(175*75+220*60)/(125*150+175*75+220*60) * 100$$ = 58.4% you could just multiply add divide to get answer. However sometimes its much better to make it easy we should see if we have any common terms 125*150=(5*5*5)*(2*3*5*5) 175*75=(5*5*7)*(3*5*5) 220*60=(2*2*11*5)*(2*2*3*5) 3*5*5 is common cancel it Ans becomes (175+176)/(176+175+250)*100 =~=~ 350/600*100=~=~7/12*100=60% >>> 58% is closest. Usually you should check to see if the ans options are not close by, if we have options such at 58% 57% 59% then we have to multiply. Is there any other way to solve this. Calculation will take time. hi in this question if you want to avoid calculations, you have to estimate answer.. the price of s/m/l is 125/175/220= approx 5/7/9.. the number of s/m/l is 150/75/60= approx 2/1/1.. now as we have taken 60 as 75 , the ans should be less than what we will get in approximation.. (7*1+9*1)/(7*1+9*1+10*2) =16/26= closer to 62 and the ans has to be less than this so 58 should be the ans ans C.. _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 8678 Location: Pune, India A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 11 Feb 2015, 20:42 2 Bunuel wrote: A major airplane manufacturer announced the sale of 150 small airliners at$125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at$220 million each. What percentage of the company's income came from large and medium airliners?

A. 29%
B. 41%
C. 58%
D. 69%
E. 70%

Kudos for a correct solution.

Since you need company's income from large + medium airliners, you can find the average price of these two so that you have one less unit to work with.
Average of 175 and 220 when weights are 75 and 60 respectively (i.e. a ratio of 5:4) - Using scale method, split 45 into 5:4, you will get 25 and 20. So average will be 20 more than 175 i.e. at 195. So you have 135 airliners of price 195.
If you are lost here, check scale method: http://www.veritasprep.com/blog/2011/03 ... -averages/

Company's income from these 135 airliners $$= \frac{135*195}{(135*195 + 150*125)} = \frac{27*39}{(27*39 + 150*5)} = \frac{9*39}{(9*39 + 250)} = 58%$$

_________________

Karishma
Veritas Prep GMAT Instructor

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Intern
Joined: 15 Jan 2015
Posts: 23
Re: A major airplane manufacturer announced the sale of 150 small airliner  [#permalink]

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11 Feb 2015, 23:44
1
A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at$175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners? A. 29% B. 41% C. 58% D. 69% E. 70% Total income = 150*125+75*175+60*220 = 75*425 + 60*220 = 15*(5*425+4*220) = 15*(2125+880) = 15*3005 Income from large and medium airplanes = 75*175+60*220 = 15*(5*175+4*220) = 15*(875+880) = 15*1755 Required % = 1755*100/3005 %= 175/3% = 58% OA = C Math Expert Joined: 02 Sep 2009 Posts: 51229 Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 16 Feb 2015, 04:54 Bunuel wrote: A major airplane manufacturer announced the sale of 150 small airliners at$125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at$220 million each. What percentage of the company's income came from large and medium airliners?

A. 29%
B. 41%
C. 58%
D. 69%
E. 70%

Kudos for a correct solution.

VERITAS PREP OFFICIAL SOLUTION

The company's total revenue is $45,075 million. It sold$18,750 worth of small airliners, $13,125 million worth of medium airliners, and$13,200 million worth of large airliners. The combined total of large and medium airliners was $26,325 or 58% of the total (answer choice C). Be careful that you calculated the correct combination of products sold! You are not allowed to use a calculator on the GMAT, so using some clever techniques to estimate the answer and save valuable time is very important: After doing some initial math, you will end up with the following ugly fraction: 26,325/45,075 Then: 1) Factor out a 25; this is clearly possible since the last two digits are a multiple of 25 1053/1803 2) Factor out a 3; this is clearly possible since the sum of the digits of each number is a multiple of 3 351/601 3) Divide numerator and denominator by 6; this will return a number very close to x/100 and can be used to estimate percentage with these answer choices: about 58/100. _________________ Manager Joined: 02 Jan 2016 Posts: 124 Re: A major airplane manufacturer announced the sale of 150 small airliner [#permalink] ### Show Tags 10 Aug 2018, 08:32 using ratio, I could make an educated guess: small airliners is 150 *$125 million, so 75 * 250
medium airliners 75 * $175 million, large airliners 60 *$220 million

therefore, you can see that medium and large airliners is slightly higher than small, therefore 58 seems correct choice. this was an educated guess.
Re: A major airplane manufacturer announced the sale of 150 small airliner &nbs [#permalink] 10 Aug 2018, 08:32
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# A major airplane manufacturer announced the sale of 150 small airliner

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