Question

In a certain scale freezing and boiling point of water are taken to be 10 degree celcius and 80 degree celcius respectively.What is temperature in celsius scale when reading in above mentioned scale is 38 degree celcius?

Answer 1

Dear Student,
Celsius is a relative scale. The temperature at which water freezes is defined as 0 °C. The temperature at which water boils is defined as 100 °C. Every temperature is expressed relative to this scale.
So in Celsius scale between boiling and freezing point there are 100 divisions.
In new scale there are 80 divisions.(90-10) divisions.
From above we see that new scale is 4/5 time sensitive than Celsius scale.

So,

1 div in Celsius -->4/5 div of new scale

So,

38 div in Celsius-->30.4 div of new scale

In new scale, 38 degree of Celsius equals to 30.4 degree of new scale.
Regards.