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

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Manager
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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29 Dec 2018, 15:12
1
4
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Difficulty:

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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Math Expert
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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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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Manager
Joined: 12 Apr 2011
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Location: United Arab Emirates
Concentration: Strategy, Marketing
Schools: CBS '21, Yale '21, INSEAD
GMAT 1: 670 Q50 V31
GMAT 2: 720 Q50 V37
WE: Marketing (Telecommunications)
Two traders A and B offer 12.5% and 8.33% discount respectively.  [#permalink]

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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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