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Solution



Given:
    • A car manufacturer produced a car at a cost of d dollars and sold it to a dealer at a price 20 percent higher than the production cost
    • The dealer sold the car to a consumer for 15 percent more than the dealer paid for it

To find:
    • The cost of the car to the consumer, in dollars

Approach and Working:
    • The price at which the car was sold to the dealer = d + 20% of d = 1.2d dollars
    • The price at which the car was sold to the consumer = 1.2d + 15% of 1.2d = 1.2d + 0.18d = 1.38d dollars

Hence, the correct answer is option E.

Answer: E
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The manufacturer produced the car for 1 d dollars.
The manufacturer sold it to the dealer for 1.2 d dollars. [20% Profit over 1 d = 0.2 d]
The dealer sold it to the customer for (1.2 + 0.18) d dollars. [15% Profit over 1.2 d = 0.18 d]
The customer purchased it for 1.38 d dollars.

Answer E
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Bunuel
A car manufacturer produced a car at a cost of d dollars and sold it to a dealer at a price 20 percent higher than the production cost. If the dealer sold the car to a consumer for 15 percent more than the dealer paid for it, what did the car cost the consumer, in dollars?

A) 1.05d

B) 1.23d

C) 1.30d

D) 1.35d

E) 1.38d


Production price = d
Selling price to dealer = 120% of d = 1.2 d

Selling price to customer = 1.2 d * 115% = 1.38 d

Thus the best answer is E.
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