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12 Days of Christmas GMAT Competition 2025 - Day 1: At a recent trade

1 2 3 4

Veerenk

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15 Dec 2025, 18:19

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Assume, total number of brands=x
Percentage of the brands, surveyed increase their wholesale price; y

If (1) is only considered, it can be only inferred that 25% of y, increased sale by >= 2$, Answer can not from this ==> Not sufficient

If (2) is only considered, it can be inferred that 15% of x, increased sale price by >=2$, again this alone is not sufficient for deriving the answer

If (1) & (2) together considered,
15% of x = 25% of y, i.e. y/x= 15/25, i.e. 60% ==Sufficient

Hence, Answer D

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15 Dec 2025, 19:13

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Bunuel

Evaluating Each Statement

Statement (1): Of brands that increased price, 25% increased by at least $2.
This describes the internal composition of the price-increase group but doesn't tell us what fraction of all brands this represents.
Insufficient alone.

Statement (2): 15% of all brands increased price by at least $2.
This doesn't account for brands that increased price by less than $2, so we can't determine the total percentage that increased.
Insufficient alone.

Combined Analysis
Let P = percentage of all brands that increased price.

From statement (1): 25% of P represents brands with increases >=$2, which equals 0.25P percent of all brands.
From statement (2): 15% of all brands increased by >= $2.

These describe the same group, so: 0.25P = 15, giving P = 60%.

Answer: C - Both statements together are sufficient, but neither alone is sufficient.

redandme21

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x=increased
y=not increased
x2 = increased by at least 2

x/(x+y) * 100?

(1)
x2 = 0.25*x

Insufficient

(2)
x2 = 0.15*(x+y)

Insufficient

(1) + (2)
0.25*x = 0.15*(x+y)

x/(x+y) = 0.15/0.25 = 3/5 = 0.6 -> 60%

Sufficient

IMO C

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15 Dec 2025, 20:21

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I = brands that increased
NI = brands that not increased

Calculate 100*I/(I+NI)

(1)
I at least 2 = 25% of I

Condition insufficient

(2)
I at least 2 = 15% of (I+NI)

Condition insufficient

(1)+(2)
25% of I = 15% of (I+NI)
0.25I = 0.15(I+NI)

100*I/(I+NI) = 100*0.15/0.25 = 100*0.15*4= 60%

Conditions sufficient

Answer C

topgmat25

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(increased brands)/(increased brands + non-increased brands)

(1)
(increased brands at least 2)=0.25*(increased brands)

Condition (1) is insufficient

(2)
(increased brands at least 2)=0.15*(increased brands + non-increased brands)

Condition (2) is insufficient

(1)+(2)
0.25*(increased brands)=0.15*(increased brands + non-increased brands)

(increased brands)/(increased brands + non-increased brands)=0.15/0.25 = 60%

Condition (1) and (2) are sufficient

The answer is C

vikramadityaa

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15 Dec 2025, 21:07

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Bunuel

The question is broadly asking about the percentage of business who increased their prices among the one sureyed.
Define variables: T = Total number of businesses surveyed, x = total number of businesses that increased their prices.
A) 25% of x >= 2 - no way forward, hence Option A & D eliminated.
B) 15% of T >= 2 - no way forward, hence Option B eliminated.
Combining both:
25% of x = 15% of T
5*x = 3*T
x/T = 3/5
Percentage: 60% - hence OPTION C.

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15 Dec 2025, 21:09

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BI = brands increased
BN = brands not increased

BI/(BI+BN) %

(1)
BI2 = brands increased at least 2

BI2 = 0.25BI

Clearly insufficient

(2)
BI2 = brands increased at least 2

BI2 = 0.15(BI+BN)

Clearly insufficient

(1) and (2)
0.25BI = 0.15(BI+BN)

BI/(BI+BN) = 15/25 = 60%

Sufficient

The correct answer is C

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15 Dec 2025, 22:44

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The main thing we know from the task is that the total of coffee brand is only divided into two groups, increased and non-increased:
$t = i + n.$
Therefore, what we need to learn is $x = \frac{i}{t}$

(1) Those that appreciated at least 2USD are $b = 0.25i$, which is clearly insufficient.

(2) From the total, 15% appreciated at least 2USD; this equals $b = 0.15t$, which is something, but only limits us to 2USD+ increases - and what about the brands that are more expensive, but only for less than 2 USD per pound? Insufficient.

(1) + (2) Combining both, we learn that the number of brands that increased their prices by 2USD or more is $b = 0.25i = 0.15t$, and from this we easily get $i:t = 0.15:0.25$, and therefore the percentage of brands we seek is 60%. Sufficient.

Therefore, the answer is C.

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Let the total brands surveyed =x
Let the brands which have increased the proce from previous year by atleast 1 pound = y

a) Given that 25 percent of y have increased by atleast two pounds .
This is not sufficient as it doesnt give any relation between the the total brands surveyed
b) given that 15 percent of total brands surveyed has increased by atleast 2 pounds

This is not sufficient as it does not give any information about the brands which gained atleast by 1 pound.

Both statements combined:

15x/100=25y/100

3x=5y
from this we can get y/x=3/5

percentage =3/5*100=60 percent.

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Each answer choice gave us information about the increase at least $2 per pound. But in general the question asks the percent of the coffee brands that increased wholesale price per pound. There are could be some increases equals to or below $2 per pound. So E

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Let the number of overall coffee brands be O and the number of brands who increased their prices be I
We have to calculate (I/O)*100
Statement 1: (25/100)*I increased their prices by atleast 2$ per pound
This gives us no information about I or O
Statement 2: (15/100)*O increased their prices by atleast 2$ per pound
This gives no information about I or O
Combining equations,
we can equate the number of brands that increased their prices by atleast 2$ per pound from both scenarios.
(25/100)*I = (15/100)*O
(I/O)*100 = (15/100)*(100/25)*100
= 60%
Hence answer is C

Bunuel

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At a recent trade show, a survey was conducted on coffee brands. Each brand was categorized based on whether it increased its wholesale price per pound this year compared to last year. What percentage of the brands surveyed increased their wholesale price this year?

(1) Of the brands that increased their price, 25% increased it by at least $2 per pound.

(2) Of all the brands surveyed, 15% increased their price by at least $2 per pound.

let A be brands that increased the price and B is total brands that increased price
#1 we know that .25A increased price >=2
.25A=B
insufficient
#2
total brands be A , brands surveyed be C
A=.15C
from 1 &2
B.25 = .15C
B/C = .15/.25
sufficient
OPTION C

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16 Dec 2025, 01:14

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Deliberately confusing wording is my downfall

Still, I enjoyed this one.

We're looking to find what PERCENTAGE of surveyed brands increased their prices.

Statement I: This only gives us information for - among the brands that increased the price, what percentage increased it by over $2. This doesn't mean that the remaining 75% did not increase their price. What if those 75% did increase their price, by less than $2? Eliminate A & D

Statement II: Now we're talking about all brands surveyed. But, here too, we are only told that 15% of the surveyed brands increased their prices by $2+. What if 85% of the surveyed brands also increased their price, but by less than 2$? Eliminate B.

If we combine the statements, a super interesting logic emerges: If, as per Statement II, we're told that those who increase their price by 2$+ comprise 15% of the total surveyed, and as per Statement I, if those 15% in fact make up for 1/4th or 25% of those who increased their price, we can easily calculate that 15*4 or 60% of the lot increased their price.

Hence, answer is C.

Bunuel

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Answer: C

Let the total brands surveyed be 100, for the sake of simplicity. Let x% be the % of brands that increased their wholesale price.
x% of 100= x

(1) 25% of x increased their price by at least $2 per pound. This doesn’t tell us anything about the value of x. Insufficient.

(2) 15% of 100= 15 brands increased their price by at least $2 per pound. Again, this doesnt tell us anything about the value of x. Insufficient.

(1) & (2) combined give us:
25% of x= 15
Thus, x= 60%
Sufficient.

Bunuel

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Statement 1 :
Among the x brands , 25 % of increased the price by ≥ 2 $
but we don't know x
Statement 2 :
Our Interpretation , Out of 100 brands , 15 brands increased their price by at least $2
Some brands may have increased price by less than 2 , We don't know how many increased price in total , Not sufficient.
From 1 and 2 together
0.25x = 15
x = 60
Uniquely determined
Correct : C

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Let the total brand percentage is 100% those increased is X% and Not increased is (100-X)%

ST1- 25% of X% increased the price by atleast 2/pound= denote it with a. Then there must be some brand who increased the price less than 2/pound, denote with c

so X%=a+c
X% =0.25X%+c
Not sufficient

ST2- 15% of overall surveyed i.e 100% brand raised the price by 2/pound i.e a=15%, still c is unknown, Hence not sufficient

combining 1 & 2

we can find out the value of X and hence both are sufficient together but not alone.

Bunuel

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Statement 1: NS. Gives no information on total brands or brands with increase
Statement 2: NS. Gives no information on brands that increased priced by less than 2
Both together: ( I did not solve to the final answer since it is DS)
15% of total is 25% of one's that increased price.
This will give total brand % that increased cost.
Hence C.

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16 Dec 2025, 02:51

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Bunuel

Let the total brands be = T
Brands that increased their price = I
We need to find = I/T

(1) Of the brands that increased their price, 25% increased it by at least $2 per pound

=> Brands that increase price by at least $2 per pound = 0.25I

We don't have any relation to the total brands hence insufficient.

(2) Of all the brands surveyed, 15% increased their price by at least $2 per pound
=> Brands (>$2 per pound) = 0.15T
No details about I hence insufficient

(1) and (2) together we get

0.25I = 0.15T
=> I/T = 0.15/0.25
Sufficient

Option C