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kawal27
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jhon bought product A at a discount of 19% on the list price. He made 02 Sep 2020, 09:49
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95% (hard)

Question Stats:

48% (03:12) correct 52% (03:03) wrong based on 46 sessions

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jhon bought product A at a discount of 19% on the list price. He made a profit of 20% by selling product A after giving a discount of 10%. ron bought product B and sold it at a profit of 5% after giving a 12.5% discount. If x is the percentage above the list price at which jhon marked product A and y is the percentage above the cost price at which ron marked product B, then how many times x is equal to y?


A-0.5 times

B-1.5 times

C-2.5 times

D-3 times

E-4 times

source: jamboree
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C
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jhon bought product A at a discount of 19% on the list price. He made 02 Sep 2020, 10:09
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need expert explanation Bunuel chetan2u
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jhon bought product A at a discount of 19% on the list price. He made 02 Sep 2020, 10:34
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Assume LP=100 for A and B
\(CP_J = 100-19=81\)

Profit that he made =\( \frac{81}{5} = 16.2\)

\(MP_J\) = \(\frac{81+16.2}{0.9 }= 108\)

x= 8%

\(SP_R\)= 105
\(MP_R = 105*\frac{8}{7} = 120\)

y= 20%

\(\frac{y}{x }= \frac{20}{8}= 2.5\)


kawal27
jhon bought product A at a discount of 19% on the list price. He made a profit of 20% by selling product A after giving a discount of 10%. ron bought product B and sold it at a profit of 5% after giving a 12.5% discount. If x is the percentage above the list price at which jhon marked product A and y is the percentage above the cost price at which ron marked product B, then how many times x is equal to y?


A-0.5 times

B-1.5 times

C-2.5 times

D-3 times

E-4 times

source: jamboree
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jhon bought product A at a discount of 19% on the list price. He made 02 Sep 2020, 22:47
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kawal27
jhon bought product A at a discount of 19% on the list price. He made a profit of 20% by selling product A after giving a discount of 10%. ron bought product B and sold it at a profit of 5% after giving a 12.5% discount. If x is the percentage above the list price at which jhon marked product A and y is the percentage above the cost price at which ron marked product B, then how many times x is equal to y?


A-0.5 times

B-1.5 times

C-2.5 times

D-3 times

E-4 times

source: jamboree
Show more

Two different cases :-

Product A
Let the list price be 100,
John bought product A at a discount of 19% on the list price, so CP for John = \(\frac{100-19}{100}*100=81\)
He made a profit of 20% by selling product A after giving a discount of 10%, so if marked price is m => \(0.9*m=SP=1.2*CP........m=\frac{12*81}{9}=108\)
x is the percentage above the list price at which John marked product A, so \(x=\frac{108-100}{100}*100=8\)


Product B
Let the list price be 100,
Ron bought product B and sold it at a profit of 5% after giving a 12.5% discount, so if marked price is n => \((100-12.5)/100*n=SP=105*CP........n=\frac{105*CP}{87.5}=1.2*CP\)
y is the percentage above the cost price at which ron marked product B, so \(y=\frac{1.2CP-CP}{CP}*100=0.2*100=20\)

how many times x is equal to y => how many times 8 is equal to 20 => \(\frac{20}{8}=2.5\)

C
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jhon bought product A at a discount of 19% on the list price. He made 04 Sep 2020, 07:08
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nick1816
Assume LP=100 for A and B
\(CP_J = 100-19=81\)

Profit that he made =\( \frac{81}{5} = 16.2\)

\(MP_J\) = \(\frac{81+16.2}{0.9 }= 108\)

x= 8%

\(SP_R\)= 105
\(MP_R = 105*\frac{8}{7} = 120\)

y= 20%

\(\frac{y}{x }= \frac{20}{8}= 2.5\)


kawal27
jhon bought product A at a discount of 19% on the list price. He made a profit of 20% by selling product A after giving a discount of 10%. ron bought product B and sold it at a profit of 5% after giving a 12.5% discount. If x is the percentage above the list price at which jhon marked product A and y is the percentage above the cost price at which ron marked product B, then how many times x is equal to y?


A-0.5 times

B-1.5 times

C-2.5 times

D-3 times

E-4 times

source: jamboree
Show more


Hi nick1816,

Why have you multiplied 105 by 8/7.? Isn't 12.5% equal to 1/8?

Thank you. :)

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jhon bought product A at a discount of 19% on the list price. He made 04 Sep 2020, 13:15
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We give discount on MP(marked price).

\((1-\frac{1}{8})MP = SP\)

\((\frac{7}{8})*MP = SP\)

\(MP = (\frac{8}{7})*SP\)

Nups1324
nick1816
Assume LP=100 for A and B
\(CP_J = 100-19=81\)

Profit that he made =\( \frac{81}{5} = 16.2\)

\(MP_J\) = \(\frac{81+16.2}{0.9 }= 108\)

x= 8%

\(SP_R\)= 105
\(MP_R = 105*\frac{8}{7} = 120\)

y= 20%

\(\frac{y}{x }= \frac{20}{8}= 2.5\)


kawal27
jhon bought product A at a discount of 19% on the list price. He made a profit of 20% by selling product A after giving a discount of 10%. ron bought product B and sold it at a profit of 5% after giving a 12.5% discount. If x is the percentage above the list price at which jhon marked product A and y is the percentage above the cost price at which ron marked product B, then how many times x is equal to y?


A-0.5 times

B-1.5 times

C-2.5 times

D-3 times

E-4 times

source: jamboree


Hi nick1816,

Why have you multiplied 105 by 8/7.? Isn't 12.5% equal to 1/8?

Thank you. :)

Posted from my mobile device
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jhon bought product A at a discount of 19% on the list price. He made 05 Sep 2023, 11:48
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