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25 Dec 2017, 00:50
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:05) correct 15% (00:46) wrong based on 19 sessions

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Madelyn has $400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping? (1) The total price of Madelyn's clothes was less than$400.

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Re: Madelyn has $400 to spend on her new school clothes and this is to cov [#permalink] Show Tags 25 Dec 2017, 01:44 Bunuel wrote: Madelyn has$400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping?

(1) The total price of Madelyn's clothes was less than $400. (2) Madelyn incurs no sales tax when purchasing school clothes. Calculating the total amount of money requires two numbers - the cost before tax and the percent tax. So we'll see if our data gives us these numbers. This is a Logical approach. (1) gives us only the cost before tax. Insufficient. (2) gives us only the percent tax. Insufficient. Combined, we have both items and can find a solution. (400 + 0% = 400) But - because (1) says 'less than 400' and not 'exactly 400' we still don't know if Madelyn had$50 left over!
(Did she pay more or less than $350?) (E) is our answer. _________________ Sign up for 7-day free trial I am a CR Expert - Ask Me ANYTHING about CR I am a DS Expert - Ask Me ANYTHING about DS Watch free GMAT tutorials in Math, Verbal, IR, and AWA. GMAT test takers: Watch now the GMAC interview with the people who write the GMAT test! We discussed the chances of improving a GMAT score; how important the first questions on the test are; what to do if you don’t have enough time to complete a whole section; and more. You can watch all the action from the interview here. Manager Joined: 24 Nov 2016 Posts: 152 Re: Madelyn has$400 to spend on her new school clothes and this is to cov  [#permalink]

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25 Dec 2017, 18:32
Bunuel wrote:
Madelyn has $400 to spend on her new school clothes and this is to cover the price of the clothes she buys and the sales tax on those items. Does Madelyn have less than 50 dollars left after completing her shopping? (1) The total price of Madelyn's clothes was less than$400.

Question: $$Clothes+Tax>350?$$ If it is, then Mad has less than 50 dollars left, if it isn't then she has more than or equal to 50 dollars left.

(1) The total price of Madelyn's clothes was less than $400. So her clothes could cost between$0 to 400, and we don't know the sales tax; insufficient.

(2) Madelyn incurs no sales tax when purchasing school clothes. So sales tax is zero, but we don't know how much were her clothes; insufficient.

(1)+(2). So sales tax is zero, but her clothes could cost more than 350 or less than..; insufficient.