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# A dealer originally bought 100 identical batteries at a tota

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Joined: 25 Feb 2013
Posts: 1182
Location: India
GPA: 3.82
Re: A dealer originally bought 100 identical batteries at a tota [#permalink]

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23 Mar 2018, 11:08
1
dave13 wrote:
Bunuel 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

ALGEBRAIC APPROACH:
The cost of 100 batteries is q dollars, thus the cost of 1 battery is q/100 dollars. Since the selling price is 50% greater than the cost price than the selling price is q/100*1.5=q/100*3/2=3q/200.

NUMBER PLUGGING APPROACH:
Say q=$200, then the cost of 1 battery is q/100=$2.
The selling price is 2*1.5=$3. Now, plug q=200 in the answers to see which yields$3. Only answer choice A works.

hello niks18,

q/100*1.5 this part means that selling price of each item is increaed by 50% - shouldnt 1.5q/100 be the answer? ;?

and this one q/100*3/2 what does it mean ? where from do we get 2/3 and what is it

Hi dave13

the highlighted part is actually $$\frac{q}{100}*1.5$$. This should resolve your first query.

For the second query, highlighted in red above, I would suggest you try to find out the answer yourself because this is a basic mathematical operations. Try and find out how to convert decimals into fractions. This topic might not be covered in GMAT quant books but you will get detailed explanations regarding mathematical operations in any primary level maths book.
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Posts: 652
Re: A dealer originally bought 100 identical batteries at a tota [#permalink]

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24 Mar 2018, 02:06
1
Hi niks18 many thanks for a professionally expressed math hint

i got it now how it solved, i actually learnt it, but i for some reason forget some concepts i learnt before ... Anyway here is the solutuon

$$\frac{q}{100}*1.5$$

$$\frac{q}{100}*\frac{150}{100}$$

$$\frac{q}{100}*\frac{3}{2}$$

$$\frac{3q}{200}$$

have a great weekend
Re: A dealer originally bought 100 identical batteries at a tota   [#permalink] 24 Mar 2018, 02:06

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