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705-805 (Hard)|   Word Problems|                  
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GMATCoachBen
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­A certain pizzeria has more than fifty types of pizzas on its menu. 06 Feb 2024, 19:21
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­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.­­­


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­A certain pizzeria has more than fifty types of pizzas on its menu. Updated on: 10 Mar 2024, 22:13
Originally posted by GMATCoachBen on 06 Feb 2024, 19:22.
Last edited by GMATCoachBen on 10 Mar 2024, 22:13, edited 1 time in total.
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Video solution here:­


 
General Discussion
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­A certain pizzeria has more than fifty types of pizzas on its menu. 18 Feb 2024, 22:07
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GMATCoachBen

­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.­­­


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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
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­A certain pizzeria has more than fifty types of pizzas on its menu. 01 Mar 2024, 08:00
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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..
 
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­A certain pizzeria has more than fifty types of pizzas on its menu. 01 Mar 2024, 10:16
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vivekthesmarty
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..

 
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@vivekthesmarty ­Correct, "most popular" does mean the pizza types sold in the highest quantities.
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­A certain pizzeria has more than fifty types of pizzas on its menu. 01 Mar 2024, 10:57
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vivekthesmarty
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..







 
@vivekthesmarty ­Correct, "most popular" does mean the pizza types sold in the highest quantities.
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Interesting discussion. ­Let me add to it.
Quote:
I guess we need to assume here that most popular means selling in max quantity.
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@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".­­­­­
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­A certain pizzeria has more than fifty types of pizzas on its menu. 20 Jun 2024, 09:54
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­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
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­A certain pizzeria has more than fifty types of pizzas on its menu. 29 Oct 2024, 07:57
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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)
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­A certain pizzeria has more than fifty types of pizzas on its menu. 20 Feb 2025, 22:50
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­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.­


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"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)
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­A certain pizzeria has more than fifty types of pizzas on its menu. 02 Sep 2026, 11:26
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I got confused here since other has 62% of revenue contribution. So it can't be the case that out of those others we have one with the highest sale ?
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Video solution here:­


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­A certain pizzeria has more than fifty types of pizzas on its menu. 02 Sep 2026, 11:45
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I got confused here since other has 62% of revenue contribution. So it can't be the case that out of those others we have one with the highest sale ?

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Here, “the four most popular pizza types” means the four pizza types that sold the greatest number of pizzas.

So no individual pizza inside “Others” could have sold more pizzas than any of those four. The 62% is only the combined revenue from all the remaining pizza types.

Then Statement (2) lets us compare the four popular pizzas. Tomato Blast has the highest revenue share among them, 14%, and it is also the cheapest pizza on the entire menu. Therefore, Tomato Blast must have sold the greatest number of pizzas.
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