A dealer originally bought 100 identical batteries at a tota

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

A dealer originally bought 100 identical batteries at a tota

by BTGmoderatorDC » Fri Nov 16, 2018 3:20 pm

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A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?

(A) 3q/200
(B) 3q/2
(C) 150q
(D) q/100
(E) 150/q

OA A

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Fri Nov 16, 2018 3:20 pm

swerve: Legendary Member; Posts: 2499; Joined: Sun Oct 29, 2017 2:04 pm; Followed by:6 members

by swerve » Sat Nov 17, 2018 9:55 am

Total cost = Q

Cost per unit = Q/100

Sale price = 3/2 * Q/100 = 3Q/200.

Hence, A is the correct option.

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by [email protected] » Sat Nov 17, 2018 2:05 pm

Hi All,

We're told that a dealer originally bought 100 identical batteries at a total cost of Q dollars and that each battery was sold at 50 percent above the original cost per battery. We're asked for the amount, in dollars, that each battery was sold, in terms of Q. This question can also be solved by TESTing VALUES.

Let's TEST....
Q = 200
So we bought 100 batteries for $200; that is $2/battery. Next, we're told that each battery was sold at 50 percent above the original cost per battery...

Buy price = $2/battery
Sell price = (1.5)(2) = $3/battery

We're asked for how many dollars each battery was sold.....so we're looking for an answer that equals 3 when Q = 200...

Answer A: 3Q/200 = 600/200 = 3 This IS a match
Answer B: 3Q/2 = 600/2 = 300 NOT a match
Answer C: 150Q = 30,000 NOT a match
Answer D: Q/100 = 200/100 = 2 NOT a match
Answer E: 150/Q = 150/200 = 3/4 NOT a match

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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by Scott@TargetTestPrep » Sun Mar 31, 2019 10:47 am

BTGmoderatorDC wrote:A dealer originally bought 100 identical batteries at a total cost of q dollars. If each battery was sold at 50 percent above the original cost per battery, then, in terms of q, for how many dollars was each battery sold?

(A) 3q/200
(B) 3q/2
(C) 150q
(D) q/100
(E) 150/q

OA A

Source: Official Guide

Since 100 batteries cost a total of q dollars, each battery cost q/100 dollars. Since each battery was sold at 50 percent above its original cost, each battery was sold for q/100 x 1.5 = 1.5q/100 = 3q/200 dollars.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
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