samedi 5 septembre 2015

smart
Here is a very simple problem (tomatoes)
Especially do Read Later, after the Have Solved !

A hypermarket manager buys 125 crates of 12 kg tomatoes to 1.35 euro per kilo.
He sold the tomatoes to 2.16 euros a kilo and made ​​a profit of 988.2 euros.
Question : How many kilos of tomatoes were not sold ?









A.
125 crates of 12 kg give 1500kg Euro profit in kg:
2.16 to 1.35 0.81 Total profit : 988.2 euros.
Number of kg for profit : 988.2 0.81 = 1220
Unsold quantity in kg: 1500 - 1220 = 280

B.
Price: profit + purchase price
Euro Price:
988.2 + 1.35 x ( 125 x 12) = 3013.2
Amount sold in kg:
3013.2 : 1395 = 2.16

Unsold quantity in kg:
1500 - 1395 = 105

And you what did you find ? 
A. Profit based on the purchased kilos 125 crates of 12 kg give 1500kg Euro profit in kg: 2.16 to 1.35 0.81 Total profit : 988.2 euros. Number of kg for profit : 988.2 0.81 = 1220 Unsold quantity in kg: 1500 - 1220 = 280
Interpretation: Here unsold tomatoes retain their potential sales value (they were not included in earnings ), and they do not cause any loss. 


B. Profit on actual sales. Price: profit + purchase price Euro Price: 988.2 + 1.35 x ( 125 x 12) = 3013.2 Amount sold in kg: 3013.2 : 1395 = 2.16 Unsold quantity in kg: 1500 - 1395 = 105 
Interpretation: Here we consider that unsold tomatoes no longer have any value. They are already counted in the account of profits.

C. A final solution : Earnings per kg of tomatoes (in euros) 2.16 to 1.35 0.81 Purchase price of all tomatoes (in euros) 125 x 12 x 1.35 = 2025 Selling price of all tomatoes (in euros) 125 x 12 x 2.16 = 3240 Benefit obtained by selling all tomatoes (in euros) 3240 - 2025 = 1215 But it received only 988.2 euros The difference is the absence of profit on the unsold tomatoes , in euros : 1215 to 988.2 = 226.8 Interpretation 1: Unsold tomatoes retain their potential sale value and cause no loss or gain. Number of unsold kg of tomatoes 226.8 0.81 = 280 . Interpretation 2: Unsold tomatoes no longer have any value. The loss is the sale price for each kg not sold. Number of unsold kg of tomatoes 226.8 : 2,16 = 105 .

Finally, it is not easy to get into other people's thinking. Here this problem so simple ... can actually produce two solutions each with their degree of validity . The text does not specify what happens to the unsold tomatoes and especially what is meant by profit.

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