Question: A florist buys roses in bulk to be sold at a retail price of $30 per dozen, earning a 25 percent profit. Of the 288 roses purchased by the florist, 24 could not be sold due to wilting, and an additional 12 were sold at half of the retail price due to age. Approximately what percentage of the total profits that would have been made if all of the roses were sold at full price was lost as a result of the roses that were not sold and those that were sold for half price?

A) 12.5
B) 36
C) 40
D) 52
E) 68

Answer: D
Solution and Explanation:
Approach Solution 1:

C.P. of a dozen roses is 30/1.25 = 24
It indicates that a rose costs $2 each piece, making the total CP of roses 288*2=576.
If every rose was sold for a 25% profit, the potential S.P. would be 288 * 2.5 = 720, and the potential profit would be 720 – 576 = 144.

However, 12 roses were sold for half the retail price, and 24 roses were not sold, therefore, the original sales price was 252*2.5 + 12*1.25 = 645, and the original profit was 645*576.5 = 69.
Now the question is: What proportion of profit—i.e., potential profit - original profit)—was lost as a result of the damaged roses? (Potential profit)
=(144 - 69)/ 144 * 100 =52 roughly

D is the correct choice.

Approach Solution 2:

We must first obtain the earrings if all the roses had been sold, which is: 288× 30=8640$
We are aware that 12 roses were sold for 50% below the suggested retail price. 12×15=180$

Furthermore, we are aware that 24 roses remain unsold.
24×30=720$
720+180=900$

The total amount of money spent on all of the roses is 24 *288 = 6912.
So, the required profit is 8640-6912 = 1728 dollars.
900/1728 52

Choice D is the correct answer.

Approach Solution 3:

Retail price per dozen is $30, or $3 per rose, generating a profit of 25% (retail price per rose is $2.4). In total, we have 288 roses.
Let's figure out the overall profit: 288*3 - 288*2.4 = 864 - 691.2 = 172.8

Thus, we also require actual profit.

(Because 12 roses were sold for 50% off the regular price and 24 roses were not sold because they were withering.)
288-24=264 --> 264-12 = 252 -->252*3 = 756
12*1.5=18
756+18 = 774(actual income)
Actual cost of 288 roses: 774-691.2 = 82.8 (actual profit)

Additionally, we may calculate the "total loss" as a result of the unsold and discounted roses:
REAL PROFIT - TOTAL PROFIT = 172.8 - 82.8 - 90

What portion of the overall profit was lost, according to the question?
We now have everything:
172-->100%
90—>x%
X = 90 * 100/ 172 = 52.08%
The correct response is D (52%)

“A florist buys roses in bulk to be sold at a retail price of $30 per" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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