dave13 wrote:

GMATD11 wrote:

A shipment of 1500 heads of cabbage, each of which was approximately the same size was purchased for $600.The day the shipment arrived 2/3 of the heads were sold, each at 25% above the cost per head.The following day the rest were sold at a price per head equal to 10% less than the price each head sold for the day before.what was the gross profit on this shipment?

(A) $100

(B) $115

(C) $125

(D) $130

(E) $135

hello highly intellectally smart people

please help a passionate problem solver

here is my solution which is wrong, but i dont understand why its wrong:) why why why

total number of gabbage 1500

original cost per gabbage \(600/1500\) = 0.30 cents

2/3 of gabbage sold at 0.25 % more than it was bought --> 0.30*1.25 = 37.5 (profit of 2/3 of gabbage sold 7,5 * 1000 = 7500 -->7500/100 = 75

rest of gabbage is sold at 10 % less than day before ---> 37.5 * 0.1 = 3.75 ---> 37,5-3,75 = 33.75 so profit 3.75*500 =1875 --> 1875/100 = 18.75

total profit 75+18,75 = 93.75

why

Hi

dave13 , you are indeed a passionate problem solver, which is admirable.

It looks to me as if you mostly understand how to solve the problem. You have a couple of arithmetic mistakes.

**Quote:**

original cost per gabbage \(600/1500\) = 0.30 cents

Try that arithmetic again.

**Quote:**

rest of gabbage is sold at 10 % less than day before ---> 37.5 * 0.1 = 3.75

Whoops. 10 % LESS than means

90 percent OF

(1 - .10) = .90

Not one-tenth

X percent less = (1 - Xpercent)

See below for links on GMAT and percents

If you get stuck trying to decide what "10% less than" means, take a simple example.

A cake cost $100

Next day it is on sale for10% LESS than before

Did the cake cost $10? No.

(1.00 - .10) = .90

The cake sold for .90 * $100 = $90

Finally, I don't understand this part

**Quote:**

37.5 (profit of 2/3 of gabbage sold 7,5 * 1000 = 7500 -->7500/100 = 75

37.5 CENTS (wrong number, but that's not the point) = .375 DOLLARS

Total revenue on 1,000 = (.375 * 1,000) = $375

??? I think? Am I missing something?

Try again? You'll get it.

See mikemcgarry Percents on the GMAT

And more on GMAT percents HERE:

"For example, the multiplier for a 40% increase would be: 1 + 0.40 = 1.4, and the multiplier for a 40% decrease would be 1 – 0.40 = 0.6 . . ."

_________________

At the still point, there the dance is. -- T.S. Eliot

Formerly genxer123