A car dealership sold two cars: the first car at a 10% profit and the second car at a 10% loss, which gave them an overall profit margin of 5% from these two sales. If the dealership's total profit was $1000, what was the sale price of each car?

A) $5,000 and $1,000

B) $9,000 and $5,000

C) $11,000 and $9,000

D) $15,000 and $5,000

E) $20,000 and $10,000

Again - I struggle to solve this question using back-solving as described in gmatclub test m03. Any idea how to do it algebraically?

I tried doing it this way but got stuck:

Let say Cost Price of 1st car = x & Cost Price of 2nd car = y

SP of 1st car = 1.1x -----------------------------------------(1)

SP of 2nd car = 0.9 y ----------------------------------------(2)

Profit = S.P - C.P

I can use

(1.1. x - x ) + (0.9y -y) -----------> But this is not possible. Please help.

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Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610

GMAT ==> 730