On an X temperature scale, water freezes at `-125.0^(@) X` and boils at `375.0^(@) X`. On a Y temperature scale, water freezes at `-70.0^(@)Y` and boils at `-30.0^(@)Y`. The value of temperature on X-scale equal to the temperature of `50.0^(@)Y` on Y-scale is

Options

A. `455.0^(@)X`
B. `-125.0^(@)X`
C. `1375.0^(@)X`
D. `1500.0^(@)X`

Answer

C

Explanation

Let `theta`=temperature on `X`-scale corresponding to `50^(@)C` on `Y` - scale
`implies (X-(-125))/(375-(-125)) = (50-(-70))/(-30-(-70)) implies X=1375`