CAT Exam Model Paper 8 with solutions for free online practice

‘x’ 50 paise coins and y 1 Re. coins amount to Rs.$\left(\frac{\mathit{x}}{2}+\mathit{y}\right)$
'y' 50 paise coins and ‘x’ 1 Re. coins amount to Rs.$\left(\frac{\mathit{y}}{2}+\mathit{x}\right)$
It is also given that, $\frac{\mathit{y}}{2}+\mathit{x}=1.3\times \left(\frac{\mathit{x}}{2}+\mathit{y}\right)$
⇒$0.8\mathit{y}=0.35\mathit{x}$
⇒$\mathit{x}=\frac{16}{7}\mathit{y}$
y must be a multiple of 7 to give integer values of x.
So the answer is 28.