George sells a CDs at a profit of 20% and a D… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

percent

George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If he makes a net profit of 10% on this transaction and the selling price of CDs is $36, find the selling price of DVDs.

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Correct

$10

$20

$25

$30

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Explanation

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Official Explanation

Official

Let the cost price of CDs be

C

and the cost price of DVDs be

D

.

Selling price of CDs =

C + 0.2C = 1.2C = 36

So,

C = \frac{36}{1.2} = 30

Selling price of DVDs =

D - 0.2D = 0.8D

Total cost price =

C + D = 30 + D

Total selling price =

36 + 0.8D

…

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What this question tests

What it tests

Your ability to apply GMAT math concepts to solve a multi-step problem quickly and accurately. At the 705-805 level, accuracy and speed both matter.

Common trap

Overcomplicating the setup — most GMAT problems reward a direct, organized approach over brute calculation.