At two specialty food stalls, Green Market and Riverside Market, the

Question

At two specialty food stalls, Green Market and Riverside Market, the prices per kilogram of almonds, walnuts, and pecans were as follows:

Green Market  
 Riverside Market  
 
  Almonds  
 $14  
 $16  
 
  Walnuts  
 $16  
 $18  
 
  Pecans  
 $18  
 $20

Marcus bought certain quantities of almonds, walnuts, and pecans at Riverside Market. How much money would he have saved if he had bought those same quantities at Green Market instead?

(1) The total weight of nuts Marcus bought was 4.5 kilograms.

(2) For every 2 kilograms of walnuts Marcus bought, he bought 3 kilograms of pecans and 5 kilograms of almonds.

Bunuel · Accepted Answer

GMAT Club Official Solution:

At two specialty food stalls, Green Market and Riverside Market, the prices per kilogram of almonds, walnuts, and pecans were as follows:

Green Market   
  Riverside Market   
 
   Almonds   
  $14   
  $16   
 
   Walnuts   
  $16   
  $18   
 
   Pecans   
  $18   
  $20

Marcus bought certain quantities of almonds, walnuts, and pecans at Riverside Market. How much money would he have saved if he had bought those same quantities at Green Market instead?

(1) The total weight of nuts Marcus bought was 4.5 kilograms.

Each type of nut costs $2 less per kilogram at Green Market than at Riverside Market. So the total savings depend only on the total weight Marcus bought, not on how that weight was split among almonds, walnuts, and pecans.

Statement (1) says Marcus bought a total of 4.5 kilograms. So the total savings would have been:

4.5 * 2 = 9

Sufficient.

(2) For every 2 kilograms of walnuts Marcus bought, he bought 3 kilograms of pecans and 5 kilograms of almonds.

Again, the savings are $2 per kilogram no matter which nut it is.

Statement (2) gives only the ratio of the three quantities, not the total weight.

Not sufficient.

Answer: A.

AdarshSambare · Answer

Asked: rice differences (Riverside − Green):
Almonds: 16 − 14 = 2 per kg
Walnuts: 18 − 16 = 2 per kg
Pecans: 20 − 18 = 2 per kg
So savings = 2 × (total kilograms bought)
We only need total weight.
(1) Total weight = 4.5 kg → savings = 2 × 4.5 = 9 → sufficient
(2) Gives ratio of quantities, but not total amount → insufficient
 Answer: A

thisisakr · Answer

The question asks how much Marcus would have saved by shopping at Green Market instead of Riverside Market.
Looking at the price differences, almonds are $2 cheaper per kg at Green Market, walnuts are $2 cheaper per kg, and pecans are $2 cheaper per kg. Every nut is exactly $2 cheaper per kg at Green Market.
This means the total savings would simply be $2 multiplied by the total weight of nuts purchased, regardless of which nuts he bought or in what ratio.

Statement 1 tells us the total weight was 4.5 kilograms. Since every kilogram saves $2, his total savings would be 4.5 times $2 equals $9. This is sufficient on its own.

Statement 2 tells us the ratio of walnuts to pecans to almonds was 2:3:5. This gives us the proportion of each nut but not the actual total weight, so we cannot calculate a dollar amount. This is not sufficient on its own.

The answer is A —  Statement 1 alone is sufficient , but Statement 2 alone is not sufficient.

Adit_ · Answer

Statement 1:
Individual quantities bought in both the markets are the same.
He would save $2 for each kilo of item bought.
Thus 2*4.5 = $9 saved.
SUFFICIENT.

Statement 2:
We only know the ratios and not the amount of items to denote the exact savings.
INSUFFICIENT.

Answer:  Option A

At two specialty food stalls, Green Market and Riverside Market, the

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	Green Market	Riverside Market
Almonds	$14	$16
Walnuts	$16	$18
Pecans	$18	$20

GMAT Data Sufficiency (DS) Questions

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