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Two traders A and B offer 12.5% and 8.33% discount respectively.

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Joined: 29 Nov 2018
Posts: 200
Concentration: Marketing, Strategy
Two traders A and B offer 12.5% and 8.33% discount respectively.  [#permalink]

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New post 29 Dec 2018, 15:12
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  95% (hard)

Question Stats:

34% (03:04) correct 66% (02:39) wrong based on 34 sessions

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Two traders A and B offer 12.5% and 8.33% discount respectively. If their selling price are in the ratio 7 : 11, Find the ratio of their marked price.

A 11:7
B 2:3
C 3:4
D 9:13
E 3:1

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Joined: 02 Aug 2009
Posts: 7763
Re: Two traders A and B offer 12.5% and 8.33% discount respectively.  [#permalink]

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New post 29 Dec 2018, 19:49
cfc198 wrote:
Two traders A and B offer 12.5% and 8.33% discount respectively. If their selling price are in the ratio 7 : 11, Find the ratio of their marked price.

A 11:7
B 2:3
C 3:4
D 9:13
E 3:1

If you liked the question, please do hit the kudos button:)



Convert decimals in easy fractions..
12.5%=25/2 and 8.33=25/3
So (100A-25/2):(100B-25/3)=7:11.....175A/2:275B/3=7:11
525A:550B=7:11........525A/550B=7/11.....A/B=7*550/(11*525)=(7*22)/(11*21)=2/3..
So A:B=2:3

B
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Joined: 12 Apr 2011
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Concentration: Strategy, Marketing
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GMAT 1: 670 Q50 V31
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WE: Marketing (Telecommunications)
Two traders A and B offer 12.5% and 8.33% discount respectively.  [#permalink]

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New post 29 Dec 2018, 23:53
cfc198 wrote:
Two traders A and B offer 12.5% and 8.33% discount respectively. If their selling price are in the ratio 7 : 11, Find the ratio of their marked price.

A 11:7
B 2:3
C 3:4
D 9:13
E 3:1

If you liked the question, please do hit the kudos button:)


Since the ratio is 7:11 --> Let us assume the selling prices to 700 and 1100 respectively
Also we can write the discount % as:

Discount% of A = 12.50% = \(\frac{1}{8}\)
Discount% of B = 08.33% = \(\frac{1}{12}\)

Marked Price * (1-Discount%) = Selling Price

=> MP = SP * \(\frac{1}{1-Discount%}\)

Hence:

MPA = 700 * (1/(1-(1/8))) = \(700*\frac{8}{7}\) = 800
MPB = 1100 * (1/(1-(1/12))) = \(1100*\frac{12}{11}\) = 1200

Ratio \(\frac{MPA}{MPB}\) = \(\frac{800}{1200}\) = 2:3

Hence B is the correct answer.
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Two traders A and B offer 12.5% and 8.33% discount respectively.   [#permalink] 29 Dec 2018, 23:53
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Two traders A and B offer 12.5% and 8.33% discount respectively.

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