On a temperature scale Y, water freezes at $ -160^{\circ} \;Y$ and boils at $-50^{\circ}Y$. On this $Y$ scale, a temperature of $340\;K$ is:

Question

\[(a)\;-106.3^{\circ}\;Y \quad (b)\;-96.3^{\circ}\; Y \quad (c)\;-86.3^{\circ} Y \quad (d)\;-76.3^{\circ}\; Y \]