Silvia's antique collection has decreased in value... | Free GMAT Practice Question | GMAT Panda

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Silvia's antique collection has decreased in value by 6.8% since its original appraisal. If her original appraisal was 25,400 dollars, what is the current value of the collection?

Explanation	Calculations	Help
$We first express the current value as the original appraisal multiplied by (1 minus the percent decrease)$	$Current Value = 25400 \times (1 - \frac{6.8}{100})$	Theory & Tactics Method Card FDPR0-J Click to view full details
$We convert the percentage change to a decimal and simplify inside the parentheses$	$1 - \frac{6.8}{100} = 1 - 0.068 = 0.932$	Theory & Tactics Method Card FDPR0-L Click to view full details
$We multiply 25400 by 0.932 by breaking down the multiplication into easier parts$	$25400 \times (0.9 + 0.03 + 0.002) = 25400 \times 0.9 + 25400 \times 0.03 + 25400 \times 0.002 = 22860 + 762 + 50.8 = 23672.8$	Theory & Tactics Method Card CALC2-D Click to view full details

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A

Silvia's antique collection has decreased in value by 6.8% since its original appraisal. If her original appraisal was 25,400 dollars, what is the current value of the collection?

Explanation	Calculations	Help
$We first express the current value as the original appraisal multiplied by (1 minus the percent decrease)$	$Current Value = 25400 \times (1 - \frac{6.8}{100})$	Theory & Tactics Method Card FDPR0-J Click to view full details
$We convert the percentage change to a decimal and simplify inside the parentheses$	$1 - \frac{6.8}{100} = 1 - 0.068 = 0.932$	Theory & Tactics Method Card FDPR0-L Click to view full details
$We multiply 25400 by 0.932 by breaking down the multiplication into easier parts$	$25400 \times (0.9 + 0.03 + 0.002) = 25400 \times 0.9 + 25400 \times 0.03 + 25400 \times 0.002 = 22860 + 762 + 50.8 = 23672.8$	Theory & Tactics Method Card CALC2-D Click to view full details

Scroll horizontally to view all columns

A