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A certain restaurant serves exactly 5 entréesE1 through E5. Customers

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Re: A certain restaurant serves exactly 5 entréesE1 through E5. Customers [#permalink]
­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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Re: A certain restaurant serves exactly 5 entréesE1 through E5. Customers [#permalink]
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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A certain restaurant serves exactly 5 entréesE1 through E5. Customers [#permalink]
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

Originally posted by SKDEV on 19 Jun 2024, 01:25.
Last edited by SKDEV on 19 Jun 2024, 07:37, edited 1 time in total.
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Re: A certain restaurant serves exactly 5 entréesE1 through E5. Customers [#permalink]
Sorry. How did you calculate the profit percentage?
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Re: A certain restaurant serves exactly 5 entréesE1 through E5. Customers [#permalink]
2
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guddo wrote:
­

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.
Of the five combination meals, the meal with entrée [Dropdown Placeholder #1] has the highest price.

Of the five combination meals, the sale of a single meal with entrée [Dropdown Placeholder #2] nets the least profit.

ID: 101121
­

­We are shown the cost to a restaurant as a percentage of meal price.

So if a meal price is \$30, and cost to the restaurant for that meal is 70%, the cost to the restaurant for that meal will be \$21 and the restaurant will make \$9 profit on that meal. The \$21 cost will be a sum of cost of entree (say \$11) and a fixed cost of sides of \$10.

Cost to restaurant of entrees are different but cost of 'extras' are always same (say \$10 for all meal combinations). So assuming meal prices of combinations are E1, E2, E3, E4 and E5,

We know that 15% of E1 = 20% of E2 = 25% of E3 = 25% of E4 = 20% of E5 = Constant (price of extras i.e. \$10)

Hence, E1 is highest. (because its 15% is equal to higher percentage of others)

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

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

The least profit will be made by a meal with the smallest price and maximum cost. E3 and E4 have the same combination meal price since cost of sides is 25% of the price in both. But cost of entree is higher in E4. It is 40% of meal price. Hence profit in E4 will be lowest.