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Assuming total brands surveyed to be 100, neither of the two statements are sufficent alone to answer the question asked. However, if we consider them, put together, they answer our question.
Bunuel
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.
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Answer is C...


Lets assume Surveyed brand as x and brands that increases prices as y .....so we gotta find y/x...

Statement 1...Clearly Insufficient as we know that of y/4 is those who increased by 2 or more

Statement 2..clearly insufficient as we know that 3x/20 is those who increased by 2 or more

Combine ....

y/4= 3x/20 ....Bring x on LHS......y/x = 12/20 = 60% --Sufficient ..C answer
Bunuel
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.
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Let the total coffee brands surveyed = T. Suppose x no. of brands increased their wholesale price this year. Then we need to find the value of (x/T)*100. So , let's take statement 1 , it says of the x brands , 25% increased it's wholesale value by atleast $2 per pound. But this statement is insufficent since no relationship between x and T is mentioned. Now let's take statement 2 , out of T brands , 15 % increased their price by atleast $2 per pound. Again no relationship is provided between x and T. SO this statement is not sufficient. Now let's combine both statements , here we noticed that 0.25x = 0.15T since both are taking about proportion of brands that increased it's whole sale value by atleast $2 per year. From there , we get a definite relationship between x and T and the % value is coming out to be 60%. So C will be the answer.
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Let's call

Number of total brands : T
Number of those that increased price : I
Number of those that increased price by at least 2$ : X

We are trying to find \((\frac{I}{T}) * 100\)

Statement 1:
X = 25 % of I

We can't use this info to calculate \(\frac{I}{T}\) since we have no idea of how (X and T) or (I and T) are related.

Insufficient

Statement 2:
X = 15 % of T

We can't use this info to calculate I/T since we have no idea of how (X and I) or (I and T) are related.

Insufficient

Combined:

25% of I = 15% of T -> we can calculate \(\frac{I}{T}\) from this. So together they are sufficient

\(\frac{I}{T} = \frac{15}{25}\)

\(\frac{I}{T} = \frac{3}{5}\)

i.e. \(\frac{I}{T}\) is 60%

Ans: Option C
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Let T be the total number of brands surveyed, I be the brands that increased their prices, N be the brands that did not increase, and 'i' be the brands that increased their prices atleast $2/lb

Question asks for (I/T)*100

Statement (1):

From statement 1, the relation between i and I is

i = 0.25 I

No other information about T, hence, NOT sufficient.

Statement (2)

From this statement, the relation between i and T is

i = 0.15 T
But, no information about I and T are given. Hence, NOT sufficient

Taking BOTH statement together:

i = 0.25 I
i = 0.15 T

0.25 I = 0.15 T
(I/T) = (0.15/0.25)

Percentage of brands increased their prices will be, I/T * 100 = 3/5 *100 = 60%

Hence, Both statements together are SUFFICIENT.
Option D
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Question is to identify % of brands surveyed who increased their wholesale price this year.
%brands surveyed with increase = #brands surveyed with increase / total brands surveyed

Option (1) will not help to identify the value of above% as it provides irrelevant information i.e. %brands with increase by at least $2 per pound out of #brands with increase

Option (2) is somewhat reasonable but it has a flaw. It provides %brands with increase by at least $2 per pound. Here, we do not know about brands whose price is increases but the magnitude is less than $2 per pound. Hence this is incomplete information.

My answer is (E) for this reason.
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15% represents 25% of brands that increased prices. So,
0.25x = 15
or, x = 60
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B. Statement 2 is sufficient

Bunuel
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.
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(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.[/quote]


Let increase brands be p & total surveyed brands be t
p / t = ??

1. More than 2 dollars = 0.25 p
So increased but less than 2 =0.8p
Total not given.. Not sufficient

2. More than 2 dollars = 0.15 t
Not suffient

Together,
0.25 p = 0.15 t
p/t 15/25... Sufficient

Ans C
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To get the ans, we need the total no of brands surveyed and the total no of brands who increased their prices. Suppose the total no of brands surveyed are 100.

1) No info about the total no of brands who increased their price

2) 15% hence 15 brands increased their price by atleast $2 per pound, however total no of brands who increased their prices could be 50 or 60 or anything else

Combining, 15 brands who increased their prices by atleast $2 are 25% of total brands who increased their prices,
Hence total brands who increased their prices are 60. and the ans is 60%

Ans C
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We need to find the % of brands that increased their wholesale price by any amount.

Let X be the percentage of brands that increased their wholesale price by any amount.


Statement 1 tells us that 25% of brands that increased their price, increased it by $2/pound or more.

So, this tells us that 25% of X increased their price by $2/pound or more.

However, by itself this does not give us the Value of X. Not Sufficient


Statement 2 tells us that 15% of all brands surveyed increased their price by $2/pound or more.

Let's assume 100 brands were surveyed. So, 15 brands increased their price by $2/pound or more.

This also does not get us to X. Not Sufficient

Considering both together,

Statement 1 tells us that (0.25)X = # of brands that increase by $2/pound or more.

Statement 2 tells us that 15 brands increased by $2/pound or more.

Taking 1 and 2 together, 0.25(X) = 15, X = 60%

Hence, answer is D. Both Together are sufficient

Bunuel
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.
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Now to know the percentage of brands that increase their price we either need the total number of brands and the number of brands that increased their price. Or the number of brands that increase their price and the number of brands that did not increase their price. Or some kind of relationship between them.

1. This says. 25% increased by at least two dollars per pound. that means that increased it by two dollars or by $200 but anything above two dollars consisted of only 25% of the companies that reported an increase in price. that means 75% increased amount less than two dollars. now this does give us a division of how the prices increased, but on its own doesn't tell us anything about how this number relates to the total number of companies surveyed. Insufficient.

2. statement to tell us that 15% of the total companies increase their price by at least two dollars. but does not tell us about the companies that increase their price by less than two dollars. Maybe they are 20%, maybe they are 70%. Insufficient

Checking for statements C.

This tells us that 25% of the companies that increase their price by at least two dollars is equal to 15% of the total number of company survey. This relationship allows us to calculate the total percentage of companies that increase their price.

25% of X = 15% of y
Hence hundred percent of X = 25 * 4 = 60% of Y
Answer C is the right choice
Bunuel
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.
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Bunuel
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.
S1 This information is insufficient to answer the question because we do not know how many increased by less than $2
S2 Insufficient because it tells us nothing about those that increased the price by less amount
S1 + S2 Sufficient 15% of total is equal to 25% of all that increased meaning the total increase is equal to 100/25x15= 60%
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Bunuel
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.
A survey on coffee brands is made.

On the survey made, suppose out of 100 products, x are said to increase and y are said to not increase the wholesale price.

Total = x + y

We need to find: (x/Total)*100 = ?

Statement 1:

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

From the segment x, let b denote the number of brands within x, where the increase has been at least $2 per pound.

Among x, b = 25% of x, and 75%x = (b-x)

So, (b/x) = (1/4)

Hence, Insufficient.

Statement 2:

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

Let b denote the number of brands within x, where the increase has been at least $2 per pound.

Out of Total, 15% (Total) increased their price by at least $2 per pound

b/T = 15%

Hence, Insufficient

Combining both statements 1 and statements 2, we get

b = 25% of x

b = 15% of T

25% of x = 15% of T

(x/T) = 15/25

= 3/5

Hence, Sufficient

Option C
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Given,

Each brand was categorized based on whether its increased its whole sale price per pound this year compared to last year.

brand surveyed increased their price this year = ?

lets consider total brands survey = T

Brand surveyed - increased price = BI

Brand surveyed - not increased price = BNI

T = BI + BNI

we need to find (BI/ T) * 100

Statement 1 : of the brands that increased their price, 25% increased by at least 2 dollars per pound

Here, we can observe that, brands within group have increased their price, but doesn't give us any relation between T and BI

Therefore statement 1 is not sufficient

Statement 2 : of all the brands surveyed, 15% increased their price by at least 2dollars per pound

here, we can observe that, it says about T (total), but doesn't give out about BI

Therefore statement 2 is not sufficient

Now lets consider statement 1 and statement 2,

we form following equation 1 from statement 1=> increased by at least 2 dollars per pound = 0.25 * BI

we form following equation 2 from statement 2=> increased by at least 2 dollars per pound = 0.15 * T

equation 1 = equation 2 => 0.25 * BI = 0.15 * T => 5BI = 3T => BI/T = 3/5 => in percentage = 3/5 * 100 = 60

Therefor, Both statement 1 and statement 2 are sufficient
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My steps of thought:

Survey conducted on price increases
Catagorized on DID or DID NOT increase YoY
Solve: % of Brands surveyed that DID


(1) Of the brands that DID increase, 25% increased it by $2/lb

Let x represent Total brands that increased. 0.25x Increased by $ 2/lb

Does not provide info about the relation of population to brands that increased.

Not enough info. AD

(2) Of the brands surveyed 15% increased by at least $2/lb

15% of all brands increased by at least $2/lb

No information about number of brands that did, only population data

BCE

1 & 2)

.25x of brands that increased did so by $2/lb +

15% of all brands increased by $2/lb+

.25x = 15%

Answer) C

x = 60%

What Percentage of brands increased their wholesale price? 60

Bunuel
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.
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Let total no. of brands in the survey = b
and brands who increased their wholesale price = x

Q: x/b*100

St1: 25x/100 brands increased its WP>= $2. So, x/4 brands, but no info about b. Insuff.

St2: 15b/100 increased WP >= $2. No info about x. Insuff.

Combined: x/4 = 15b/100 => x/b = 15*4/100 = 60/100 = 60%

Option (C)
Bunuel
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.
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