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GMAT Quant — Arithmetic (Percentages)

The value of Carson’s antique collection has decreased by 6.2% since he initially paid 21, 400 dollars for it. What is the current value of the collection?

Explanation	Calculations	Help
$We use a multiplication factor to account for a "decreased by 6.2%" change from the initial value to the current value.$	$C = I \times (1 - \frac{6.2}{100})$	Theory & Tactics Method Card FDPR0-J Click to view full details
$We find that factor by subtracting 6.2 percent from 1.$	$1 - \frac{6.2}{100} = 1 - 0.062 = 0.938$
$We multiply the original amount by 0.938 and break the calculation into simpler parts.$	$21400 \times 0.938 = 21400 \times (0.94 - 0.002) = 21400 \times 0.94 - 21400 \times 0.002 = 20116 - 42.8 = 20073.2$	Theory & Tactics Method Card CALC2-D Click to view full details

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B

GMAT Quant — Arithmetic (Percentages)

The value of Carson’s antique collection has decreased by 6.2% since he initially paid 21, 400 dollars for it. What is the current value of the collection?

Explanation	Calculations	Help
$We use a multiplication factor to account for a "decreased by 6.2%" change from the initial value to the current value.$	$C = I \times (1 - \frac{6.2}{100})$	Theory & Tactics Method Card FDPR0-J Click to view full details
$We find that factor by subtracting 6.2 percent from 1.$	$1 - \frac{6.2}{100} = 1 - 0.062 = 0.938$
$We multiply the original amount by 0.938 and break the calculation into simpler parts.$	$21400 \times 0.938 = 21400 \times (0.94 - 0.002) = 21400 \times 0.94 - 21400 \times 0.002 = 20116 - 42.8 = 20073.2$	Theory & Tactics Method Card CALC2-D Click to view full details

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B