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16 Sep 2014, 01:18
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By what percentage is \(0.375 \) less than \(\frac{5}{4}\)?
A. 30
B. 36
C. 50
D. 60
E. 70
A. 30
B. 36
C. 50
D. 60
E. 70
16 Sep 2014, 01:18
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Official Solution:
By what percentage is \(0.375 \) less than \(\frac{5}{4}\)?
A. 30
B. 36
C. 50
D. 60
E. 70
To calculate the percentage difference, use the following formula:
• \(\frac{\text{positive difference between numbers} }{\text{number we are comparing to} } *100\%\)
\(\frac{\frac{5}{4}-\frac{375}{1000} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{5}{4}-\frac{3}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{5}{4}-\frac{3}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{7}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{7}{8}*\frac{4}{5}*100\%=\)
\(=70 \%\)
Answer: E
By what percentage is \(0.375 \) less than \(\frac{5}{4}\)?
A. 30
B. 36
C. 50
D. 60
E. 70
To calculate the percentage difference, use the following formula:
• \(\frac{\text{positive difference between numbers} }{\text{number we are comparing to} } *100\%\)
\(\frac{\frac{5}{4}-\frac{375}{1000} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{5}{4}-\frac{3}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{5}{4}-\frac{3}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{\frac{7}{8} }{\frac{5}{4} }*100\%=\)
\(\frac{7}{8}*\frac{4}{5}*100\%=\)
\(=70 \%\)
Answer: E
15 May 2016, 10:15
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Bunuel
Could an alternate method be to move the decimals so we have 37.5 is what percent of 125 (as 5/4ths is equivalent to 1.25) which is 30% which means 70% smaller?
Did I just luck out on that or is it viable approach or is it risky because the "5/4" might not be so simple to work with as 1.25?
