A faulty thermometer has its fixed points marked `5^(@)C and 95^(@)C`. The thermometer reads the temperature of body as `59^(@)C`. The correct temperature on Celsius scale is:

Options

A. `59^(@)C`
B. `60^(@)C`
C. `45^(@)C`
D. `58^(@)C`

Answer

B

Explanation

`("False reading - lower pt.")/("range")`
`=("True reading - lower point.")/("range")`
`(59-5)/(95 cdot 5)=(T-0)/(100)`
`(54)/(90)=(T)/(100) rArr T=(54)/(90) xx100 =60^(@)C`
Thus, correct choice is (b).