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

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cfc198
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Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink] New post   29 Dec 2018, 15:12
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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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B
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Re: Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink] New post   29 Dec 2018, 19:49
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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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Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink] New post   29 Dec 2018, 23:53
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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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adewale223
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Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink] New post   03 Aug 2023, 13:40
A has a discount of 12.5% so selling price is 0.875x if marked price is x


B has a discount of 8.334% so selling price is 0.91667y if y is marked price.


Since ratio of selling price is 7:11


0.875x/0.91667y = 7/11


Therefore ratio of marked price

x/y = 0.91667x 7/0.875x11

x/y = 6.41669/9.625

Multiply numerator and denominator by 10

64/96

2:3

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Re: Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink] New post   11 Aug 2023, 12:29
Trader A's price = 1 - 12.5% = 1 - \(\frac{1}{8}\) = \(\frac{7}{8}\)
Trader B's price = 1 - 8.33% = 1 - \(\frac{1}{12}\) = \(\frac{11}{12}\)
Ratio: \(\frac{Trader A's Price}{Trader B's Price} = 7:11 = \frac{7}{11}\)

Expressed another way:
\(\frac{7}{8}A/\frac{11}{12}B = \frac{7}{11}\)

Cross multiply:
\(11*\frac{7}{8}A = 7*\frac{11}{12}B\)

Simplify:
\(\frac{77}{8}A = \frac{77}{12}B\)
\(\frac{1}{8}A = \frac{1}{12}B\)
\(\frac{A}{B} = \frac{8}{12} = \frac{2}{3}\)
Answer choice B
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Re: Two traders A and B offer 12.5% and 8.33% discount respectively. [#permalink]
11 Aug 2023, 12:29
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