Sukman, it will be great if you post the answer choices; if you don't have answer choices then post OA.
Let CP = 100
Percentage = x%
Profit = 5
[ (100 + x) - 30( 100+x)/100 ] - 100 = 5
100(100+x) - 30(100+x) - 10000 = 500
10000 + 100x - 3000 - 30x - 10000 = 500
70x = 3500
x = 50
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Word Problem - Profit/Loss
Source: Beat The GMAT — Problem Solving |
I've added answer choices, which the GMAT would provide.sukhman wrote:A trader marks his good at a certain percentage over his cost price and then gives 30% discount, thereby making 5% profit. What is the markup percentage ?
40
50
60
70
80
Let the cost price = 100.
We can plug in the answer choices, which represent the required markup.
Answer choice C: 60
Regular selling price = cost price + markup = 100 + .6(100) = 160.
Price with a 30% discount = 160 - .3(160) = 112.
Resulting profit = (discounted price) - (cost price) = 112-100 = 12.
Profit percentage = profit/cost = 12/100 = 12%.
Too much profit.
To decrease the profit, the markup must be LOWER.
Eliminate C, D and E.
Answer choice B: 50
Regular selling price = cost price + markup = 100 + .5(100) = 150.
Price with a 30% discount = 150 - .3(150) = 105.
Resulting profit = (discounted price) - (cost price) = 105-100 = 5.
Profit percentage = profit/cost = 5/100 = 5%.
Success!
The correct answer is B.
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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