GMAT Club Olympics 2024 (Day 10): In August, an Olympic venue was

Question

In August, an Olympic venue was selling two types of tickets, Regular and VIP, at different full prices. In September, both types of tickets went on sale and were sold at discounted prices. In September, how much more does a VIP ticket cost than a Regular ticket?

(1) In August, a VIP ticket cost $25 more than a Regular ticket. 
(2) Both types of tickets were discounted by 20%.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked. 
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked. 
C. BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked. 
D. EACH statement ALONE is sufficient to answer the question asked. 
E. Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.

Bunuel · Accepted Answer

GMAT Club Official Explanation:

In August, an Olympic venue was selling two types of tickets, Regular and VIP, at different full prices. In September, both types of tickets went on sale and were sold at discounted prices. In September, how much more does a VIP ticket cost than a Regular ticket?

(1) In August, a VIP ticket cost $25 more than a Regular ticket.

This statement is clearly insufficient, since we need the difference in prices in September.

(2) Both types of tickets were discounted by 20%.

This statement is also clearly insufficient.

(1) + (2) Given that a VIP ticket (V) cost $25 more than a Regular ticket (R) in August, we have V - R = 25. Both tickets were discounted by 20%, so the prices in September would be 0.8V and 0.8R. Therefore, the difference in September is 0.8V - 0.8R = 0.8(V - R) = 0.8 * 25 = 20. Sufficient.

Answer: C.

Kinshook · Answer

Given: In August, an Olympic venue was selling two types of tickets, Regular and VIP, at different full prices. In September, both types of tickets went on sale and were sold at discounted prices.
Asked: In September, how much more does a VIP ticket cost than a Regular ticket?

(1) In August, a VIP ticket cost $25 more than a Regular ticket.
Since discount % are unknown.
NOT SUFFICIENT

(2) Both types of tickets were discounted by 20%.
Let the regular & VIP tickets in August be priced at r & v respectively
The price of regular & VIP tickets in September after 20% discounts are .8r & .8v respectively.
.8v - .8r = ?
Since v - r is unknown
NOT SUFFICIENT

(1) + (2) 
(1) In August, a VIP ticket cost $25 more than a Regular ticket.
Let the regular & VIP tickets in August be priced at r & v respectively
v - r = $25
(2) Both types of tickets were discounted by 20%.
The price of regular & VIP tickets in September after 20% discounts are .8r & .8v respectively.
.8v - .8r = .8 (v - r) = .8 *25 = $20
 In September, VIP ticket costs $20 more than a Regular ticket
SUFFICIENT

IMO C

Fido10 · Answer

Let's consider V=normal price of VIP ticket and R=normal price of regular ticket
And, we're looking for how much more does a VIP ticket cost than a Regular ticket in September.

(1) In August, a VIP ticket cost $25 more than a Regular ticket.  
From this we have : V=25+R, we have no information about what those prices are in september, Not sufficient

(2) Both types of tickets were discounted by 20%. 
There is no information about the quantity by which one is more than the other, not sufficient,

Taking both of them, we can conclude that : V*0.8=25*0.8+R*0.8
=>V(september)=20+R(September)
so answer is yes we can know, the difference is 20dollars

Answer is C

AthulSasi · Answer

Statement (1) 
In August, a VIP ticket cost $25 more than a Regular ticket. 
We don't know the amount of discount given on each type of tickets in septemer.  Hence not sufficient.

(2) Both types of tickets were discounted by 20%.
Since we dont know the initial pricr (price in august) or the initial price gap, we cannot find the discounted price or discounted price difference in September.  Hence not sufficient.

1&2 Together 
Let V be the cost of VIP ticket in Aug and R be the cost of regular ticket in Augsut. 
Given, V= R+25
Given, in september both types of tickets were discounted by 20%.

Hence
discounted Regular price  = 0.8 * R
discounted VIP price  = 0.8 * (R+25)
= 0.8 R + 20
= discounted regular price + $20 .
implies = discounted price gap =$20
 Hence sufficient.

Answer c

Lizaza · Answer

We don't know much, except that V and R were discounted, from the task itself. Our question is  V-R=?

(1) 
 V = R + 25 
However, no info in September.  Insufficient .

(2) 
In September, we are dealing with 0.8V and 0.8R
However, not knowing the actual values gives us no possibility to compare.  Insufficient .

(1+2) 
In September, delta between prices becomes  0.8V - 0.8R = 0.8(R+25) - 0.8R = 0.8*25 , which is actually the answer we need (even though we don't know the prices themselves).
 Sufficient together,  so the answer is C.

terminatork07 · Answer

Bunuel  How did you infer that the price remains the same from August to September?

Bunuel · Answer

We are told that in August both tickets were sold at full price, and in September both went on sale at discounted prices. That directly indicates that the September prices are just the discounted versions of the same August full prices.

GMAT Club Olympics 2024 (Day 10): In August, an Olympic venue was

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