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GMAT Quant — Quant (No Tags Provided)

Store B sold 65 electronic gadgets, which represented 0.0025% of its total inventory. Which of the following expresses the total inventory of Store B?

Explanation	Calculations	Help
$We first name a variable for the total inventory of Store B.$	$T = total inventory of Store B$
$We translate the statement "65 electronic gadgets, which represented 0.0025% of its total inventory" into an equation.$	$65 = \frac{0.0025}{100} \times T$	Theory & Tactics Method Card FDPR4-A Click to view full details
$We isolate the total inventory by dividing both sides by the percentage coefficient.$	$T = \frac{65}{\frac{0.0025}{100}}$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We simplify the fraction in the denominator by converting the percentage to a decimal and then to scientific notation.$	$\frac{0.0025}{100} = 0.000025 0.000025 = 2.5 \times 1 0^{- 5}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We substitute the simplified denominator back in and write T in the given form.$	$T = \frac{65}{2.5 \times 1 0 ^{- 5}} T = \frac{65}{2.5} \times 1 0^{5} T = \frac{65 \times 1 0 ^{5}}{2.5}$	Theory & Tactics Method Card CALC2-E Click to view full details

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C

GMAT Quant — Quant (No Tags Provided)

Store B sold 65 electronic gadgets, which represented 0.0025% of its total inventory. Which of the following expresses the total inventory of Store B?

Explanation	Calculations	Help
$We first name a variable for the total inventory of Store B.$	$T = total inventory of Store B$
$We translate the statement "65 electronic gadgets, which represented 0.0025% of its total inventory" into an equation.$	$65 = \frac{0.0025}{100} \times T$	Theory & Tactics Method Card FDPR4-A Click to view full details
$We isolate the total inventory by dividing both sides by the percentage coefficient.$	$T = \frac{65}{\frac{0.0025}{100}}$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We simplify the fraction in the denominator by converting the percentage to a decimal and then to scientific notation.$	$\frac{0.0025}{100} = 0.000025 0.000025 = 2.5 \times 1 0^{- 5}$	Theory & Tactics Method Card FDPR3-C Click to view full details
$We substitute the simplified denominator back in and write T in the given form.$	$T = \frac{65}{2.5 \times 1 0 ^{- 5}} T = \frac{65}{2.5} \times 1 0^{5} T = \frac{65 \times 1 0 ^{5}}{2.5}$	Theory & Tactics Method Card CALC2-E Click to view full details

Scroll horizontally to view all columns

C