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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # A dealer originally bought 15 identical cars. If each car was sold for  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 51218 A dealer originally bought 15 identical cars. If each car was sold for [#permalink] ### Show Tags 05 Jan 2018, 00:18 00:00 Difficulty: 35% (medium) Question Stats: 73% (01:57) correct 27% (02:19) wrong based on 27 sessions ### HideShow timer Statistics A dealer originally bought 15 identical cars. If each car was sold for q dollars, which was 60 percent above the original cost per car, then in terms of q, what was the total cost of the cars, in dollars, to the dealer? A. q/250 B. 5q/8 C. 75q/8 D. 9q/10 E. 24q _________________ Senior PS Moderator Joined: 26 Feb 2016 Posts: 3325 Location: India GPA: 3.12 A dealer originally bought 15 identical cars. If each car was sold for [#permalink] ### Show Tags 05 Jan 2018, 00:34 Bunuel wrote: A dealer originally bought 15 identical cars. If each car was sold for q dollars, which was 60 percent above the original cost per car, then in terms of q, what was the total cost of the cars, in dollars, to the dealer? A. q/250 B. 5q/8 C. 75q/8 D. 9q/10 E. 24q Since the car was sold for q dollars which was 1.6 times the cost, the cost of the car would be $$\frac{q}{1.6}$$ Since he bought 15 identical cars, the cost of the cars would be $$15*\frac{q}{1.6} = \frac{150q}{16} = \frac{75q}{8}$$(Option C) _________________ You've got what it takes, but it will take everything you've got Senior SC Moderator Joined: 22 May 2016 Posts: 2211 Re: A dealer originally bought 15 identical cars. If each car was sold for [#permalink] ### Show Tags 05 Jan 2018, 08:48 Bunuel wrote: A dealer originally bought 15 identical cars. If each car was sold for q dollars, which was 60 percent above the original cost per car, then in terms of q, what was the total cost of the cars, in dollars, to the dealer? A. q/250 B. 5q/8 C. 75q/8 D. 9q/10 E. 24q Another approach: assign values. When you see fractions in answer choices, choose small values. Almost always, if chosen values are small, the fractional answers can be assessed quickly. Sell price is 60 percent above cost. SP = 1.6 * cost price Use two integers. 5 * 16 = 80, so 5 * 1.6 = 8 You could also use cost =$10 and SP = $16 Let cost =$5 per car
Then Sell Price = $5 * 1.6 =$8

So q = $8 Total cost = ($5 * 15) = $75 With q = 8, find the answer that yields$75

Eliminate A, B, and D immediately.
Their numerators and denominators make their results much too small:
$$\frac{8}{250}$$, $$\frac{40}{8}$$, and $$\frac{72}{10}$$, respectively

Eliminate E, too.
24 * 8 will not yield an answer whose units digit is 75
(And 24 * 8 > 160, more than twice what we need)

Check C) 75q/8

$$(75 * 8) = (150 * 4) = 600$$
(double one factor and halve the other)

$$\frac{600}{8}= \frac{300}{4} = \frac{150}{2}$$= \$75. Correct.

Re: A dealer originally bought 15 identical cars. If each car was sold for &nbs [#permalink] 05 Jan 2018, 08:48
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