lheiannie07 wrote:Tom and Aly purchased a laptop each at the same price. Both of them marked up the price of their laptops by the same amount. Aly sold her laptop by offering successive discounts of $200 and 20%, in that order; whereas Tom sold his laptop by offering the same scheme of discount but in reverse order. If the profit made by Aly was equal to the loss incurred by Tom, then what was the amount of profit (in $) made by Aly?
(A) $20
(B) $25
(C) $30
(D) $35
(E) $40
Let the original selling price of each laptop = 500.
Aly sold her laptop by offering successive discounts of $200 and 20%, in that order.
After applying a $200 discount, we get:
500-200 = 300.
After applying a 20% discount, we get:
300 - (20% of 300) = 300 - 60 = 240.
Tom sold his laptop by offering the same scheme of discount but in reverse order.
After applying a 20% discount, we get:
500 - (20% of 500) = 500 - 100 = 400.
After applying a $200 discount, we get:
400-200 = 200.
The profit made by Aly was equal to the loss incurred by Tom
Let C = the cost price of each laptop.
Aly's profit = (Aly's selling price) - (cost price) = 240-C.
Tom's loss = (cost price) - (Tom's selling price) = C-200.
Since Aly's profit and Tom's loss are equal, we get:
240-C = C-200
440 = 2C
220 = C.
What was the amount of profit made by Aly?
Aly's profit = (Aly's selling price) - (cost price) = 240-220 = 20.
The correct answer is
A.
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