Last year, the price of a vacation package was P. At the

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Last year, the price of a vacation package was P. At the beginning of this year, the price went up 40%. Lucas used a travel voucher to purchase the vacation package at 30% off this year's price. In terms of P, how much did Lucas pay?
(A) P + 10
(B) 1.1*P
(C) 1.12*P
(D) 0.9*P
(E) 0.98*P


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by sahilchaudhary » Tue Jan 07, 2014 11:19 am
Price of package last year = P
Price of package this year = P + 40% of P = P + 0.4*P = 1.4*P

Since Lucas got a 30% discount at this year's price, so he has to pay 70% of the price of the package this year.
Price paid by Lucas to buy the package = 70% of (1.4*P) = 0.98*P

So, the correct answer is E
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Mike@Magoosh wrote:
Mon Jan 06, 2014 4:40 pm
Last year, the price of a vacation package was P. At the beginning of this year, the price went up 40%. Lucas used a travel voucher to purchase the vacation package at 30% off this year's price. In terms of P, how much did Lucas pay?
(A) P + 10
(B) 1.1*P
(C) 1.12*P
(D) 0.9*P
(E) 0.98*P


Lucas paid P * 1.4 * 0.7 = 0.98P.

Answer: E

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