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805+ Level|   Graphs|   Non-Math Related|            
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­A certain restaurant serves exactly 5 entrées—E1 through E5. Customers may order an entrée alone, but most customers order an entrée as part of a combination meal, which consists of one entrée plus extras—a side dish and drink. While the entrées vary in cost to the restaurant, the extras always have the same cost to the restaurant. The graph shows the actual cost to the restaurant for the entrée and the extras as a percent of the price charged for the meal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.
A. Of the five combination meals, the meal with entrée _______ has the highest price.

B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.





On basis of the Graph, the Total Price of a particular Combination Meal (E1/2/3/4/5) can be divided into :-


                               Entree (%)     Extras (%)   Profit (%)
           E1                          30         15                 55
           E2                          30         20                 50
           E3                          35         25                 40
           E4                          40         25                 35
           E5                          30         20                 50



A. Of the five combination meals, the meal with entrée _______ has the highest price.

Since the Extras always have the same cost to the restaurant, maximum costs will be incurred wherein the ratio of Entree : Extras wll be maximum.

E1 (with 2:1) has the maximum ratio for Entree : Extras


E1 is the correct option


B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.

Since E4 has the least percentage for the profit portion, the sale of a single meal with entree E4 will make the minimum profit.


E4 is the correct option

 
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Profit % of all is 55%, 50%, 40%, 35% and 50%.
Dividing the same by 15, 20, 25, 25 and 20 gives the answer for 2nd part
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more understandable explanation for first part-

since price of all extras are same:
15% of meal1 = 20% of meal2 = 25% of meal3 = 25% of meal4 = 20% of meal5 = K(assume)
so, price of meal1 = 100k/15, price of meal2 = 100k/20 and so on.....

now E1 entre price = 30% of meal1
=> 30/100 * 100k/15
=>2k
and similarly we can find entre price for all the rest!

This is how people are directly concluding we can see the ratio of entre to extra, whichever is highest is our answer­
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Official Solution
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So there is a line that caught my eye 'extras cost the same to the restaurant' ...and we have the % given with proportion to the meal price charged. Let's take extra cost to be $60..
Now for E1, extra is 15% of the total price
60 is 15%, so 100% is $400,

Same way we can do for other meals but i know other meals will cost lesser. Eg: E2 - $60 will be 20% of the total meal price, overall price comes out to be $300. Hence for (1) ans is E1
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Hi,

Can you please tell how do you calculate profit %


rn1112
­A certain restaurant serves exactly 5 entrées—E1 through E5. Customers may order an entrée alone, but most customers order an entrée as part of a combination meal, which consists of one entrée plus extras—a side dish and drink. While the entrées vary in cost to the restaurant, the extras always have the same cost to the restaurant. The graph shows the actual cost to the restaurant for the entrée and the extras as a percent of the price charged for the meal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.
A. Of the five combination meals, the meal with entrée _______ has the highest price.

B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.





On basis of the Graph, the Total Price of a particular Combination Meal (E1/2/3/4/5) can be divided into :-


Entree (%) Extras (%) Profit (%)
E1 30 15 55
E2 30 20 50
E3 35 25 40
E4 40 25 35
E5 30 20 50



A. Of the five combination meals, the meal with entrée _______ has the highest price.

Since the Extras always have the same cost to the restaurant, maximum costs will be incurred wherein the ratio of Entree : Extras wll be maximum.

E1 (with 2:1) has the maximum ratio for Entree : Extras


E1 is the correct option


B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.

Since E4 has the least percentage for the profit portion, the sale of a single meal with entree E4 will make the minimum profit.


E4 is the correct option

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Profit % = 100% − Total Cost %

Total Cost % = Entrée cost % + Extras cost % (from the bar chart).
The chart already shows these costs as a percentage of the meal price, so you don’t need to know the actual prices.

E1: Entrée ≈ 15%, Extras ≈ 30% → Total ≈ 45%
E2: Entrée ≈ 20%, Extras ≈ 30% → Total ≈ 50%
E3: Entrée ≈ 25%, Extras ≈ 35% → Total ≈ 60%
E4: Entrée ≈ 25%, Extras ≈ 40% → Total ≈ 65%
E5: Entrée ≈ 20%, Extras ≈ 30% → Total ≈ 50%

EntréeTotal Cost %Profit %
E145%55%
E250%50%
E360%40%
E465%35%
E550%50%
aronbhati
Hi,

Can you please tell how do you calculate profit %



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How did you get the profit percentage??
rn1112
­A certain restaurant serves exactly 5 entrées—E1 through E5. Customers may order an entrée alone, but most customers order an entrée as part of a combination meal, which consists of one entrée plus extras—a side dish and drink. While the entrées vary in cost to the restaurant, the extras always have the same cost to the restaurant. The graph shows the actual cost to the restaurant for the entrée and the extras as a percent of the price charged for the meal.

Based on the information provided, select from each drop-down menu the option that creates the most accurate statement.
A. Of the five combination meals, the meal with entrée _______ has the highest price.

B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.





On basis of the Graph, the Total Price of a particular Combination Meal (E1/2/3/4/5) can be divided into :-


Entree (%) Extras (%) Profit (%)
E1 30 15 55
E2 30 20 50
E3 35 25 40
E4 40 25 35
E5 30 20 50



A. Of the five combination meals, the meal with entrée _______ has the highest price.

Since the Extras always have the same cost to the restaurant, maximum costs will be incurred wherein the ratio of Entree : Extras wll be maximum.

E1 (with 2:1) has the maximum ratio for Entree : Extras


E1 is the correct option


B. Of the five combination meals, the sale of a single meal with entrée _________ nets the least profit.

Since E4 has the least percentage for the profit portion, the sale of a single meal with entree E4 will make the minimum profit.


E4 is the correct option

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How did you get the profit percentage??


Study the OE:


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OFFICIAL SOLUTION:

RO1:

Since the extras always have the same cost to the restaurant, that cost must be lowest as a percentage of the highest price charged for a combination meal. The graph shows the extras cost only about 15% of the price charged for the combination meal with entrée E1, but at least 20% of the price charged for each of the other combination meals. So, the combination meal with entrée E1 has the highest price.

The correct answer is E1.

RO2:

Let's assume that apart from the costs shown in the graph, any other costs to the restaurant are the same for each combination meal served. Out of the sales price of a combination meal, the percentage profits to the restaurant are then lower for combination meals whose total percentage costs shown in the graph are higher. The total percentage costs shown in the graph are highest for the combination meal with entrée E4, so this meal must net the least profit as a percentage of its sales price. Next, note that the graph shows that the extras cost at least as high a percentage of this meal’s sales price as of any of the other combination meals’ sales prices. That means this meal must have a sales price no higher than any of the other combination meals do. So, because the meal with entrée E4 nets the least profit as a percentage of its sales price, and that sales price is no higher than any other combination meal’s sales price, the meal with entrée E4 must net the least total amount profit per meal served.

The correct answer is E4.
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