Aptitude Question ID: 106413

If \frac{3}{4} of the difference of 2\frac{1}{4} and 1\frac{2}{3} is subtracted from \frac{2}{3} of 3\frac{1}{4} the result is :
[A]\frac{-48}{83}
[B]\frac{48}{83}
[C]\frac{-83}{48}
[D]\frac{83}{48}

\mathbf{\frac{83}{48}}
\frac{13}{4}\times \frac{2}{3}-\left ( \frac{9}{4}-\frac{5}{3} \right )\times \frac{3}{4}
= \frac{13}{6}-\left ( \frac{27-20}{12} \right )\times \frac{3}{4}
= \frac{13}{6}-\frac{7}{12}\times \frac{3}{4}
= \frac{13}{6}-\frac{7}{16}
= \frac{104-21}{48} = \frac{83}{48}
Hence option [D] is right answer.

Comments