Is the price of an apple greater than that of an orange?

Question

(1) The price of 10 apples and 15 oranges is $8.
(2) The price of 5 apples is $1.30 greater than the price of 6 oranges.

shashankism · Answer

Given: Apples and Oranges 
DS: price of apple say A > price of orange O ?

Statement 1 : 10 A + 15 O = 8 
So in this case we can't determine price of apple is greater than oranges or not.
 NOT SUFFICIENT

Statement 2 : 5A = 1.3 + 6O 
Price 5A > 6O 
So apple is costlier than orange 
 SUFFICIENT  
 
Answer B

jedit · Answer

It should be B.

1- 10A + 15O = 8

Gives us nothing about price of either. Insufficient.

2- 5A = 6O + 1.3

A = 1.2O + 1.3/1.5

Statement 2 is sufficient.

akshayk · Answer

Apples - A
Oranges - B

1) 10A + 15B = 8
A = 0.2
B = 0.4
10A = 2
15B = 6

If A = 0.5
B = 0.2
10A = 5
15B = 3

Insufficient.

2) 5A = 6B + 1.30
Sufficient.

B is the answer.

sonikavadhera · Answer

Question stem: (a = apple price, o = orange price)
Is a > o
Statement 1:
10 a + 15 o = 8
this does not give any information as a > o or a < o

Statement 2: 
5 a = 1.3 + 6 o

If 5 a > 6 o
a > 1.2 o

Even after increasing 'o' by a factor of 1.2, it is still less than a, hence o is originally less than a
Sufficient.
Answer is B

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BrentGMATPrepNow · Answer

Let A = the price (in dollars) of ONE apple 
Let O = the price (in dollars) of ONE orange 
  Target question :    Is O < A?

Statement 1 : The price of 10 apples and 15 oranges is $8  
We can write: 10A + 15O = 8
This doesn't tell us the RELATIONSHIP between the two prices. 
Here's what I mean...
There are several values of A and O that satisfy statement 1. Here are two: 
 Case a : A = $0.50 and O = $0.20. So, 10A + 15O = 8 becomes = 10(0.5) + 15(0.2) = 8 (which checks out). In this case,  O < A 
 Case b : A = $0.20 and O = $0.40. So, 10A + 15O = 8 becomes = 10(0.2) + 15(0.4) = 8 (which checks out). In this case,  O > A 
Since we cannot answer the  target question  with certainty, statement 1 is NOT SUFFICIENT

Statement 2 : The price of 5 apples is $1.30 greater than the price of 6 oranges. 
This tells us that the cost of 5 apples is GREATER THAN the cost of 6 oranges
We can write:  6O < 5A 
IMPORTANT: We also know that the cost of 5 oranges is LESS THAN the cost of 6 oranges. So, we can write:  5O < 60 
When we combine the two red inequalities, we get:  5O < 6O < 5A 
From this, we can conclude that 5O < 5A
Divide both sides by 5 to get:   O < A   (PERFECT!)
Since we can answer the  target question  with certainty, statement 2 is SUFFICIENT

Answer: B

RELATED VIDEO
 https://www.youtube.com/watch?v=S_fjYmCtvy0

hellosanthosh2k2 · Answer

x - price of apple.
y - price of orange.

Statement 1: The price of 10 apples and 15 oranges is $8
  10 x + 15 y = 8  =>  15y = -10x + 8 
 =>  y = -2 * x /3 + 8 / 15 
If we observe, the slope of this line is -2/3 (negative), y intercept (at x = 0) = 8/15, x intercept (at y = 0) = 4/5
so if we start at x = 0, y = 8/15 and move towards x = 4/5, y = 0 , as we move x increases and y decreases
=> so we can't conclude which is greater. i.e price of apple or orange => Insufficient

Statement 2:  5x = 1.3 + 6b  =>  x = 1.3/5 + 1.2 y  => x clearly creater than y => Sufficient (Answer B)

bumpbot · Answer

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Is the price of an apple greater than that of an orange?

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Is the price of an apple greater than that of an orange?

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