A faulty thermometer has its lower fixed point marked as `-10^(@)` and upper fixed point marked as `110^(@)`. If the temperature of the body shown in this scale is `62^(@)`, the temperature shown on the Celsius scale is

Options

A. `78^(@)`
B. `66^(@)`
C. `62^(@)`
D. `58^(@)`

Answer

D

Explanation

`(T_C-0)/(100-0) = (T-10)/(130- 10) rArr (40)/(100) = (T-10)/(120)`
`rArr T = 58^@`