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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https://magoosh.com/gmat/2012/understand ... -the-gmat/
For a discussion of the strategy (and pitfalls) of plugging in numbers, as well as the OA & OE for this particular question, see:
https://magoosh.com/gmat/2013/how-to-plu ... questions/
Mike
Last year, the price of a vacation package was P. At the
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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
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 pmLast 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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