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20 Aug 2019, 06:41
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An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between A.$31 and $33 B.$30 and $32 C.$29 and $31 D.$28 and $30 E.$27 and $29 _________________ Senior Manager Joined: 30 Sep 2017 Posts: 344 Concentration: Technology, Entrepreneurship GMAT 1: 720 Q49 V40 GPA: 3.8 WE: Engineering (Real Estate) Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 07:22
1
1
Cost before tax = $27.5. Cost after tax: 27.5 * 1.1 < Cost < 27.5 * 1.15$30.25 < Cost < $31.625$30 < Cost < $32 Closest answer is (B): between$30 and $32 Manager Joined: 08 Jan 2018 Posts: 129 Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 07:34
1
Let the tax be T%

So Cost of the item with tax will be $$27.50 ( 1 + \frac{T}{100} )$$

Given: 10 < T < 15
So, $$0.1 < \frac{T}{100} < 0.15$$

Thus, Cost of item ranges from 27.50 (1.1) to 27.50 (1.15) = 30.25 to 31.625

B is the closest match.

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20 Aug 2019, 07:49
IMO-B

CBT (Cost Before Tax)= $27.5 CAT (Cost After Tax)=$27.5+ Tax

10% (CBT) < Tax < 15% (CBT)
i.e, $2.75 < Tax <$ 4.125

$(27.5+ 2.75) <$27.5 + Tax < $(27.5 + 4.125)$ 30.25 < CAT < $31.625 Only option B satisfies this.... Intern Joined: 12 Aug 2017 Posts: 43 Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 07:52
1
cost before tax = $27.50 10% < tax < 15% 1.1(27.50) < total cost < 1.15(27.50)$30.25 < total cost < $31.625$31 < total cost < $32 (rounding off) ans - B _________________ The key is not the will to win, it's the will to prepare to win that is important !! GMAT Club Legend Joined: 18 Aug 2017 Posts: 4797 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 08:42
An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between A.$31 and $33 B.$30 and $32 C.$29 and $31 D.$28 and $30 E.$27 and $29 least and max value of tax 10.1% and 14.9% ;$30.25 ;$31.5 IMO B _________________ If you liked my solution then please give Kudos. Kudos encourage active discussions. Senior Manager Joined: 24 Nov 2016 Posts: 465 Location: United States Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 09:31
Quote:
An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between A.$31 and $33 B.$30 and $32 C.$29 and $31 D.$28 and $30 E.$27 and $29 0.10(27.5)<tax<0.15(27.5) 2.75<tax<4.125 27.50+2.75<total(=cost+tax)<27.50+4.125 30.25<total<31.625… Answer (B). Senior Manager Joined: 07 Mar 2019 Posts: 250 Location: India GMAT 1: 580 Q43 V27 WE: Sales (Energy and Utilities) Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 09:57
An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between A.$31 and $33 B.$30 and $32 C.$29 and $31 D.$28 and $30 E.$27 and $29 C = 27.5. Total paid amount is between $$1.1*C$$ to $$1.15*C$$. Thus $$1.1*C$$ < C < $$1.15*C$$ 30.25 < C < 31.625 Answer (B) _________________ Ephemeral Epiphany..! GMATPREP1 590(Q48,V23) March 6, 2019 GMATPREP2 610(Q44,V29) June 10, 2019 GMATPREPSoft1 680(Q48,V35) June 26, 2019 SVP Joined: 03 Jun 2019 Posts: 1543 Location: India Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 10:19
An item cost $27.50 before tax. If the tax on the item was more than 10 percent but less than 15 percent of the cost of the item before tax, then the total amount paid must have been between min tax = 27.5*10% =$2.75
max tax = 27.5*15% = $4.125 Min total amount paid = 27.5 + 2.75 =$30.25
Max total amount paid = 27.5 + 4.125 = $31.625 $$30.25 \leq$$ Total amount paid $$\leq 31.625$$ The Toal amount paid must have been between$30 and $32 IMO B _________________ "Success is not final; failure is not fatal: It is the courage to continue that counts." Please provide kudos if you like my post. Kudos encourage active discussions. My GMAT Resources: - Efficient Learning All you need to know about GMAT quant Tele: +91-11-40396815 Mobile : +91-9910661622 E-mail : kinshook.chaturvedi@gmail.com Manager Joined: 12 Mar 2019 Posts: 159 Re: An item cost$27.50 before tax. If the tax on the item was more than  [#permalink]

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20 Aug 2019, 12:54
IMO B

Lets us take 10% and 15% as extremes of 2 tax slabs applicable:
27.5+ 10% of 27.5 = 30.25
27.5+15% of 27.5 = 31.62

so its between $30-$32
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Re: An item cost $27.50 before tax. If the tax on the item was more than [#permalink] Show Tags 20 Aug 2019, 15:16 From the question stem we know price before tax is$27.5,and that tax on the item is more than 10% but less than 15%.
We are to find the range of the amount paid for the item.

Looking at the answer choices, every choice is unique in terms of the amount paid. Hence computing the possible lower bound or upper bound for the price should be sufficient.

I choose the lower bound for the price because it is easier for me to compute.

1.1*27.5 = 2.75 + 27.5 = 30.25.

Only option B has 30 as the possible lower price bound. The answer is therefore B.

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