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What percentage of \(1.125\) is \(\frac{9}{2}\)?
A. 60
B. 80
C. 300
D. 360
E. 400
A. 60
B. 80
C. 300
D. 360
E. 400
16 Sep 2014, 01:09
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Official Solution:
What percentage of \(1.125\) is \(\frac{9}{2}\)?
A. 60
B. 80
C. 300
D. 360
E. 400
Firstly, \(1.125\) can be expressed as \(1\frac{125}{1000}\), which simplifies to \(1\frac{1}{8}\) or \(\frac{9}{8}\).
The question essentially asks us to find the value of \(x\) in the equation \(\frac{9}{8}*\frac{x}{100} = \frac{9}{2}\).
Solving gives: \(x=\frac{9}{2}*\frac{8}{9}*100=400 \%\).
Solving for \(x\), we get: \(x = \frac{9}{2}*\frac{8}{9}*100\% = 400\%\).
Answer: E
What percentage of \(1.125\) is \(\frac{9}{2}\)?
A. 60
B. 80
C. 300
D. 360
E. 400
Firstly, \(1.125\) can be expressed as \(1\frac{125}{1000}\), which simplifies to \(1\frac{1}{8}\) or \(\frac{9}{8}\).
The question essentially asks us to find the value of \(x\) in the equation \(\frac{9}{8}*\frac{x}{100} = \frac{9}{2}\).
Solving gives: \(x=\frac{9}{2}*\frac{8}{9}*100=400 \%\).
Solving for \(x\), we get: \(x = \frac{9}{2}*\frac{8}{9}*100\% = 400\%\).
Answer: E
Success2015
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13 Aug 2015, 01:22
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another approach
9/2 = 4.5
4.5 is bigger than 1.125
Hence we can eliminate a & b.
check c now. 1.125 * 3 = 3.375 which is less than 4.5....hence 300% is also less.
try 400% (a easy number to deal)...
1.125 * (400/100) = 4.5...
this is the answer
9/2 = 4.5
4.5 is bigger than 1.125
Hence we can eliminate a & b.
check c now. 1.125 * 3 = 3.375 which is less than 4.5....hence 300% is also less.
try 400% (a easy number to deal)...
1.125 * (400/100) = 4.5...
this is the answer
