The cost of 10 pounds of apples and 2 pounds of grapes was $1

The equation is 10a+2g=12...
What is a?
1) g=2
Substitute in main equation...
One variable, one equation.. sufficient
10a+2*2=12...a=0.8
Sufficient
2) 2a<1g...
10a+2g=12..
You can have lot of solutions..
a=0.5..10*5+2g=12...g=3.5>2a or 2*0.5
a=0.8...g=2>2a
Insufficient

A

Need to find out the cost of per pounds Apples .

Suppose ,

the cost of per pounds apples is x
the cost of per pounds grapes is y

10 x + 2 y = 12

Statement 1:
y = $ 2

10 x + 2 y = 12
10 x + 2 * 2 = 12
10 x = 8

x = 8/10
x = 4/5.

Sufficient

Statement 2:

2x< y

both x and y are unknown. Insufficient.

Thus A is the best answer.

Dear Experts,

Instead of pound, if pieces were UOM then D would have been the answer, with a definite no?

Answer: Option A

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Solution:


Question Stem Analysis:

We need to determine the per-pound cost of apples. If we let a be the per-pound cost of apples and g be the per-pound cost of grapes per pound, we can create the equation:

10a + 2g = 12

We need to determine the value of a. As we can see, if we know the value of g, then we can determine the value of a.

Statement One Alone:

Statement one tells us that the value of g is 2. Since we know the value of g, we can determine the value of a, the per-pound cost of apples. Statement one alone is sufficient.

Statement Two Alone:

Although statement two tells us that the cost of 2 pounds of apples was less than the cost of 1 pound of grapes (i.e., 2a < g), without knowing the value of g, we can’t determine the value of a. Statement two alone is not sufficient.

Answer: A