SSC Selection Post 2022 PYQ — Question 54

The correct answer is option 1 i.e. $5 {19\over30}$.

 

⇒$\frac{13\frac{1}{2}}{9\frac{3}{4}} = \frac{7\frac{4}{5}}{x} \Rightarrow x = \frac{9\frac{3}{4} \times 7\frac{4}{5}}{13\frac{1}{2}}$

$13\frac{1}{2} = \frac{27}{2}$

$9\frac{3}{4} = \frac{39}{4}$

$7\frac{4}{5} = \frac{39}{5}$

⇒ $x = \frac{39}{4} \times \frac{39}{5} \div \frac{27}{2} = \frac{39 \times 39}{4 \times 5} \times \frac{2}{27} = \frac{1521 \times 2}{20 \times 27} = \frac{3042}{540}$

⇒ $\frac{3042}{540} = \frac{507}{90} = {5\frac{57}{90}} = {5\frac{19}{30}}$