A certain pizzeria has more than fifty types of pizzas on its menu.

Question

https://gmatclub.com/forum/download/file.php?id=74877 A certain pizzeria has more than fifty types of pizzas on its menu. The chart shows the revenue share, in the pizzeria’s total revenue in the last month, of its four most popular pizza types. Each pizza type has only a single size and a single price. Which was their best-selling pizza last month in terms of number of pizzas sold? (1) The number of customers who ordered at least one Pep-Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month. (2) The lowest-priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese. A certain pizzeria has more than fifty types of pizzas on its menu.png

GMATCoachBen · Accepted Answer

Video solution here:

https://www.youtube.com/watch?v=ISr3juAE4RQ

vivekthesmarty · Answer

GMATCoachBen 
As per question stem:
pizzeria has more than fifty types of pizzas on its menu, chart shows the revenue share of its four  most popular  pizza types.
Qns asks: Which was their best-selling pizza last month in terms of number of pizzas sold?
How can we rule out any other pizza which may be higher priced but selling in more numbers from Others (62%) of the pie.?
I guess we need to assume here that most popular means selling in max quantity..

HarshaBujji · Answer

The graph gives the info of the revenue, What's expected is the sales/number of pizzas

Statement 1: The number of customers who ordered at least one Pep-Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month.

Let's consider 10 ppl ordered from this chain.

6 ppl ordered one pep peroni, 4 ppl ordered 20 NiceSpice(1st person),40 Veg Cheeese (2nd Person)...

So obviously we cannot tell which one has highest sales.

Hence A,D are eliminated.

Statement 2:   The lowest-priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese.

Hmm, Although being the lowest indvidual cost the revenues from this type is highest.

Rev = Ind Cost x N.o items. As Ind Cost is lowest, No. of items must be highest.

IMO B

mbaaspirantss07 · Answer

Is there an alternate way to solve this using just numbers?

GMATCoachBen · Answer

@vivekthesmarty Correct, "most popular" does mean the pizza types sold in the highest quantities.

AnishPassi · Answer

Interesting discussion. Let me add to it.
 
@vivekthesmarty, 
As opposed to what? generating the highest revenue?

Even if we take "most popular" to mean "generating the highest revenue", it won't change the answer.

If the figure shows the 4 highest revenue shares of all 50 pizzas,
1. Tomato Blast has the highest revenue share, and, according to statement 2,
2. Tomato Blast was the lowest-priced pizza type  on the whole menu , i.e. out of all 50 types of pizza.

'Highest revenue' and 'lowest price' combined would mean the Tomato Blast was sold in the highest quantity - out of all 50 types.

Makes sense?

Tell me if you had some other interpretation of "most popular".

Gemmie · Answer

Statement (1)  only tells us pepperoni pizza had the most  customers who ordered at least one . It doesn't necessarily tell us how many pepperoni pizzas were sold in total.

=> Not sufficient

Statement (2)  clarifies that Tomato Blast is the  lowest-priced pizza  and  has the highest revenue .

Number sold = Revenue / Price per pizza

==> Tomato Blast must have the highest quantity sold
==> Tomato Blast is the best seller

==> Sufficient

Answer is B

sanskrit · Answer

We'd have to "assume" that Tomato Blast with 14% revenue has the highest revenue in order to get the answer as 'B'. Otherwise the answer should be 'E'

Four most popular pizzas? popular in terms of what? In terms of internet reviews? in terms of number of social media post about them?

What if in the 'others' section, which is 62% of the revenue, let's say we have 45 types of pizzas with 1% revenue, then the 46th type of pizza will have to contribute to 17% of the revenue.

This 46th type of pizza may not be as popular as the other 4 four, but according to our assumptions above, it can contribute 17% of the review.

Now Tomato Blast is the cheapest followed by VegChese, then let's say this 46th is the 3rd cheapest or at 2nd cheapest place along with VegCheese. 
Say Tomato Blast is $0.875, VegCheese is $1.00, and this 46th type is priced at $1.00. The revenue can be taken as $1000

Tomato Blast would have contributed $140 with 160 numbers (160*$0.875 = $140)
VegCheese would be at $50 with with 50 numbers 
46th type would have $170 with 170 number. 
In this example this 46th type tops in terms of number of pizza sold. Again, 46th may not be as popular as other 4, but last month people secretly ordered 46th (which has pineapples on it) because they experimented with pineapples on pizza but won't admit openly that they liked it the most.

OmerKor · Answer

I fully agree with @ sanskrit .
The term "popular" can be interpreted in several ways.
I understood it as you described it, so I chose AC E.
If the word Popular means the most sales, the 62% of others can be ignored right away from the start.

pierjoejoe · Answer

i guess that in this kind of problems thinking about extremes pays off.

(1)
in this case the first statement is not telling us anything about the number of pizzas. The number of customers that bought at least one Pepperoni is greater than any others, let's assume that there are 10 customers, 9 of them order one pizza each, the other customer buys the other 250 billion pizzas of each of the other kinds. it is pretty easy to see that the total number of pizzas of ANY type BUT Pepperoni sold is FAR greater than the number of Pepperoni sold. (NOT SUFFICIENT)
(2)
following a similar line of reasoning. let's assume the revenues are 100 in total. the least pricy pizza is Tomato Blast --> the EXTREME CASE is that each pizza has a price that is equal to the minimum, let's assume that tomato blast price is 1$ each unit. the other pizzas will have the same price. in that case the pizzas that sold the most will SURELY be also the pizzas that had the greater REVENUES. Thus Tomato Blast with the greatest share of revenues, will be the best selling in term of quantity (SUFFICIENT)

DeeBee54 · Answer

Hello, where does the Q say that the best selling pizza has to be one amongst the 4 most popular ones? if you recall the logic Q on LED computers (whether Chris will by A or B basis price / screen size etc.) on which you have posted a video solution, you have mentioned that we need not necessarily consider computers A or B only. There could be C, D etc options as in there could be more computers which we arent told about. SImilarly we dont know about other pizzas here? Please help explain. Thank you

GMATCoachBen

Video solution here:

KarishmaB · Answer

"Most Popular pizzas" implies the ones sold the most in number. So we know that Tomato, Pep, Nice and Veg are the ones sold most in number. Their revenues are given with the highest revenue belonging to tomato which is 14%. This does not imply that Tomato is the one most sold number-wise because if it is more expensive than Pep, say, then more of Pep could have been sold but revenue could be higher of Tomato. So we need some data to say which one was sold in most quantity.

(1) The number of customers who ordered at least one Pep-Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month.

Number of customers is irrelevant. If fewer customers bought 100 pizzas of variety 1 and many more customers bought only 1 pizza of variety 2, more number of pizzas of variety1 could have easily been sold.
Not sufficient.

(2) The lowest-priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese.

Tomato is the cheapest pizza still it got the max revenue. This means Tomato must have been sold in maximum quantity. 
Sufficient alone.

Answer (B)

Goldenfuture · Answer

I got confused why not statement 1 and this is the reason I guess

🔢 Your Hypothetical Example:
Say we have  100 customers total . Here's how the numbers could look:
 
  60 customers  ordered at least  1 Pep-Peroni  
  40 customers  ordered at least  1 Tomato Blast   
But:
 
 The  60 customers  each ordered  1 Pep-Peroni  ⇒ 60 pizzas 
 The  40 customers  each ordered  3 Tomato Blast  ⇒ 120 pizzas  
➡️  Tomato Blast sold more pizzas  (120 > 60), but  Pep-Peroni had more unique customers. 
✅ So  statement (1)  can be true  even when another pizza sold more units. 
 
🧠 Key insight:
 
You’d need to know how many pizzas each customer ordered — which statement (1) does  not tell you.

A certain pizzeria has more than fifty types of pizzas on its menu.

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A certain pizzeria has more than fifty types of pizzas on its menu.