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tricky?

Expert replies
by awilhelm » Tue Jan 20, 2009 3:08 pm
A store purchased 20 coats that each cost an equal amount and then sold each of the 20 coats at an equal price. What was the store's gross profit on the 20 coats?

1) If the selling price per coat had been twice as much, the gross profit would've been $2,400.

2) If the selling price per coat had been $2 more, the gross profit would've been $440

OA is B. I had D. What am I missing here? Reasoning below.

2 ->
let x = selling price
20*(x + 2) = $440
20x + 40 = $440
20x = $400
x = $20
This only gives me the selling price, but says nothing about what my costs were, and therefore nothing about my gross profit.
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Source: — Problem Solving |

by amitabhprasad » Tue Jan 20, 2009 4:12 pm
Profit = SP-CP
Stmt 1: 20(2*SP-CP) = 2,400
from here we cant get SP-CP
so insufficient
Stmt 2: 20(SP+2-CP) = 440
==> SP-CP = 20
sufficient
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by awilhelm » Tue Jan 20, 2009 6:24 pm
Thanks, but why couldn't we manipulate the first statement as follows:

Stmt 1 ->
20(2*(SP-CP)) = 2,400

20/2 * (2*(SP-CP))/2 = 2,400/2

10 * SP-CP = 1,200

SP-CP = 120

???
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by amitabhprasad » Tue Jan 20, 2009 6:40 pm
How can you do
2*(SP-CP)....
Statement says 2 times the selling price
not 2 times the profit.
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by awilhelm » Tue Jan 20, 2009 6:53 pm
Right, I see, thanks.
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