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26 May 2017, 11:59
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15% (low)

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85% (01:53) correct 15% (02:15) wrong based on 55 sessions

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A file cabinet that originally cost $52 is on sale at 15% off. If the sales tax on office furniture is 5% of the purchase price, how much would it cost to buy the file cabinet at its sale price? (A)$7.80
(B) $40.00 (C)$44.20
(D) $46.41 (E)$48.23

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A file cabinet that originally cost $52 is on sale at 15% off [#permalink] ### Show Tags Updated on: 27 May 2017, 00:43 1 Since the sticker price of the file cabinet is 52$ and a 15 percent discount is offered.
The discount can be computed as 5.2+2.6 = 7.8$The price at which the purchase happens is 44.2$, on which we are charged 5% taxes
5% of 44.2 is 2.21, which when added to the purchase price, gives us the sale price
which is 44.2 + 2.21 = 46.41$(Option D) _________________ You've got what it takes, but it will take everything you've got Originally posted by pushpitkc on 26 May 2017, 13:38. Last edited by pushpitkc on 27 May 2017, 00:43, edited 1 time in total. Senior SC Moderator Joined: 22 May 2016 Posts: 2744 Re: A file cabinet that originally cost$52 is on sale at 15% off  [#permalink]

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26 May 2017, 14:39
Kritesh wrote:
A file cabinet that originally cost $52 is on sale at 15% off. If the sales tax on office furniture is 5% of the purchase price, how much would it cost to buy the file cabinet at its sale price? (A)$7.80
(B) $40.00 (C)$44.20
(D) $46.41 (E)$48.23

I used @pushpitkc' s method because these are not "nice" numbers.

That said, multiplying the multipliers (the decimal value of percent increase or decrease), then multiplying that product by original quantity, is often very fast in successive percent change problems.

Multipliers:

15% off means 100% - 15% = 85%, written as 1 - .15 = .85

5% sales tax means 100% + 5% = 105%, written as 1 + .05 = 1.05

Multiply the multipliers:
(.85)(1.05) = .8925

Then multiply that product by original value: (.8925) * (52) = 46.41

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Re: A file cabinet that originally cost $52 is on sale at 15% off [#permalink] ### Show Tags 01 Jun 2017, 09:50 Kritesh wrote: A file cabinet that originally cost$52 is on sale at 15% off. If the sales tax on office furniture is 5% of the purchase price, how much would it cost to buy the file cabinet at its sale price?

(A) $7.80 (B)$40.00
(C) $44.20 (D)$46.41
(E) $48.23 With the 15% discount, the file cabinet costs 52 x 0.85 = 44.20 dollars. Adding 5% sales tax, the cost of purchasing the cabinet is 44.2 x 1.05 =$46.41.

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Re: A file cabinet that originally cost $52 is on sale at 15% off [#permalink] ### Show Tags 03 Jul 2017, 06:26 Kritesh wrote: A file cabinet that originally cost$52 is on sale at 15% off. If the sales tax on office furniture is 5% of the purchase price, how much would it cost to buy the file cabinet at its sale price?

(A) $7.80 (B)$40.00
(C) $44.20 (D)$46.41
(E) $48.23 Original Cost =$52
After 15% off, Sale price = 0.85 * 52 = 44.2$After including sales tax of 5% of the purchase price , it would cost = 44.2 * 1.05 = 46.41$

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Re: A file cabinet that originally cost $52 is on sale at 15% off [#permalink] ### Show Tags 03 Jul 2017, 08:26 Kritesh wrote: A file cabinet that originally cost$52 is on sale at 15% off. If the sales tax on office furniture is 5% of the purchase price, how much would it cost to buy the file cabinet at its sale price?

(A) $7.80 (B)$40.00
(C) $44.20 (D)$46.41
(E) $48.23 $$52*\frac{115}{100}*\frac{85}{100}$$ = $$46.41$$ Thus, the answer must be (D) 46.41 _________________ Thanks and Regards Abhishek.... PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only ) Re: A file cabinet that originally cost$52 is on sale at 15% off   [#permalink] 03 Jul 2017, 08:26
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