Bunuel wrote:

John bought 2 shares and sold them for $96 each. If he had a profit of 20% on the sale of one of the shares but a loss of 20% on the sale of the other share, then on the sale of both shares John had

(A) a profit of $10

(B) a profit of $8

(C) a loss of $8

(D) a loss of $10

(E) neither a profit nor a loss

For the one share earning a 20% profit, we can set up the following equation in which c = cost:

Profit = 0.2c

96 - c = 0.2c

96 = 1.2c

80 = c

Thus, John made 96 - 80 = 16 dollars on the sale.

For the share with a 20% loss, we can set up the following equation in which c = cost:

Profit = -0.2c

96 - c = -0.2c

96 = 0.8c

120 = c

Thus, John lost 120 - 96 = 24 dollars on the sale.

So, overall he lost 8 dollars.

Answer: C

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