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# A shopkeeper plans to offer some successive discounts on the items he

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Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
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A shopkeeper plans to offer some successive discounts on the items he  [#permalink]

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Updated on: 25 May 2017, 19:22
00:00

Difficulty:

65% (hard)

Question Stats:

64% (02:06) correct 36% (01:54) wrong based on 111 sessions

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A shopkeeper plans to offer some successive discounts on the items he is selling and lists the five options. Which of the following discount scheme options would be best suited for him if he wants to offer least discount in absolute terms?

A) 20% 20% 10%
B) 30% 20%
C) 10% 30% 10%
D) 10% 40%
E) 50%

Source: http://www.GMATinsight.com

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Originally posted by GMATinsight on 21 May 2017, 04:20.
Last edited by chetan2u on 25 May 2017, 19:22, edited 2 times in total.
Updated the OA on 26may2017
Intern
Joined: 18 May 2017
Posts: 13
WE: Corporate Finance (Health Care)
Re: A shopkeeper plans to offer some successive discounts on the items he  [#permalink]

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22 May 2017, 15:24
Is this question which discount is lowest for him or the customer? As in the customer wins with the 50% discount( E) ,or h e wins with the 57.6% discount( A).
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Joined: 04 Dec 2015
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Concentration: Technology, Strategy
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Re: A shopkeeper plans to offer some successive discounts on the items he  [#permalink]

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22 May 2017, 16:06
1
1
GMATinsight wrote:
A shopkeeper plans to offer some successive discounts on the items he is selling and lists the five options. Which of the following discount scheme options would be best suited for him if he wants to offer least discount in absolute terms?

A) 20% 20% 10%
B) 30% 20%
C) 10% 30% 10%
D) 10% 40%
E) 50%

Source: http://www.GMATinsight.com

Let the price of product be = 100
Check the options to find least discount.

A) 20%20%10% = 80% of 80% of 90% of 100 = $$\frac{80}{100}$$ x $$\frac{80}{100}$$ x $$\frac{90}{100}$$ x 100 = 57.6

B) 30%20% = 70% of 80% of 100 = $$\frac{70}{100}$$ x $$\frac{80}{100}$$ x 100 = 56

C) 10%30%10% = 90% of 70% of 90% of 100 = $$\frac{90}{100}$$ x $$\frac{70}{100}$$ x $$\frac{90}{100}$$ x 100 = 56.7

D)10%40% = 90% of 60% of 100 = $$\frac{90}{100}$$ x $$\frac{60}{100}$$ x 100 = 54

E) 50% = 50% of 100 = $$\frac{50}{100}$$ x 100 = 50

Therefore Option A (57.6) is least discount. Answer A...

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Re: A shopkeeper plans to offer some successive discounts on the items he  [#permalink]

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13 Aug 2019, 22:38
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A shopkeeper plans to offer some successive discounts on the items he   [#permalink] 13 Aug 2019, 22:38
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