Roro22 wrote:
Carcass wrote:
Williams has x eggs. He sells y of them at a profit of 10 percent and the remaining eggs at a loss of 10 percent. He made a profit overall.
Quantity A |
Quantity B |
x-y |
y |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Hi the Answer is D
By using Fill in, here are the situations:
1) X = 100
- 50 * 1.1 = 55 (y)
- 50 * 0.9 - 45
profit = 10
A: 100 - 50 = 50
B: 502) X = 100
- 47 * 1.1 = 51.7
- 53 * 0.9 = 47.7
profit = 4
A: 100 - 47 = 53
B: 47 3) X = 100
- 53 * 1.1 = 58.3
- 47 * 0.9 = 42.3
profit = 16
A: 47
B: 53I'm afraid your answer does not take into account the cost price of each egg.
For instance, consider the first situation in your solution.
x=100, y=50, x-y=50.
Let c be the cost price per egg.
Then, C.P. = 100c
S.P. = (1.1)(50c) + (0.9)(50c) = 55c + 45c = 100c
So, Profit = S.P. - C.P. =100c -100c = 0, which is a contradiction to the assumption that he makes a profit overall.
So, x=100, y=50 does not work in this case.
Now, let's consider the second situation.
x=100, y=47, x-y=53.
Let c be the cost price per egg.
Then, C.P. = 100c
S.P. = (1.1)(47c) + (0.9)(53c) = (51.7)c + (47.7)c = (99.4)c
So, Profit = S.P. - C.P. =(99.4)c -100c = -(0.6)c, which again leads to a contradiction since profit is negative in this case (which, in turn, implies that he made a loss over all).
So, x=100, y=47 does not work as well.