In a recent consumer survey, $52\%$ of respondents... | Free GMAT Practice Question | GMAT Panda

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In a recent consumer survey, 52% of respondents reported using smartphone app A, and 6.5% reported using both app A and app B. Which of the following is closest to the percent of those using app A who also used app B?

Explanation	Calculations	Help
$We name variables to represent the given percentages.$	$A = percent using app A A B = percent using both app A and app B$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "52% of respondents reported using smartphone app A" and "6.5% reported using both app A and app B" to mathematical values.$	$A = \frac{52}{100} A B = \frac{6.5}{100}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We form the ratio of the percent using both apps to the percent using app A.$	$\frac{A B}{A} = \frac{\frac{6.5}{100}}{\frac{52}{100}}$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We simplify the fraction by canceling common factors.$	$= \frac{6.5}{52} = \frac{6.5 \times 1}{6.5 \times 8} = \frac{1}{8}$	Theory & Tactics Method Card FDPR2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{8} = 0.125 = 12.5%$

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C

In a recent consumer survey, 52% of respondents reported using smartphone app A, and 6.5% reported using both app A and app B. Which of the following is closest to the percent of those using app A who also used app B?

Explanation	Calculations	Help
$We name variables to represent the given percentages.$	$A = percent using app A A B = percent using both app A and app B$	Theory & Tactics Method Card TRANS1-A Click to view full details
$We translate "52% of respondents reported using smartphone app A" and "6.5% reported using both app A and app B" to mathematical values.$	$A = \frac{52}{100} A B = \frac{6.5}{100}$	Theory & Tactics Method Card TRANS2-A Click to view full details
$We form the ratio of the percent using both apps to the percent using app A.$	$\frac{A B}{A} = \frac{\frac{6.5}{100}}{\frac{52}{100}}$	Theory & Tactics Method Card FDPR0-D Click to view full details
$We simplify the fraction by canceling common factors.$	$= \frac{6.5}{52} = \frac{6.5 \times 1}{6.5 \times 8} = \frac{1}{8}$	Theory & Tactics Method Card FDPR2-A Click to view full details
$We convert the fraction to a percentage.$	$\frac{1}{8} = 0.125 = 12.5%$

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C