Join WhatsApp Icon IPMAT WhatsApp Group
Question 8

The Celsius scale of temperature can be converted to Fahrenheit scale using the relationship $$F = 1.8C + 32$$, where $$F$$ and $$C$$ are temperature recorded in degrees Fahrenheit and Celsius, respectively. Ajay noted down the temperature of a chemical reaction as $$x$$ degrees Fahrenheit but reported it as $$x$$ degrees Celsius by mistake. If this led to a recording of the temperature that was 144% higher than the actual temperature in Celsius scale, then $$x$$ equals ____


Correct Answer: 122

$$F = 1.8C + 32$$. Actual temperature is $$x°F$$, but Ajay wrote it as $$x°C$$. The actual value in Celsius is $$\dfrac{x-32}{1.8}$$. The recorded value ($$x$$ Celsius) is 144% higher than the actual Celsius value:

$$x = 2.44 \cdot \dfrac{x-32}{1.8} \Rightarrow 1.8x = 2.44(x-32) \Rightarrow 1.8x = 2.44x - 78.08 \Rightarrow 0.64x = 78.08 \Rightarrow x = 122$$.

Get AI Help

Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • Get 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

Over 8000+ registered students have benefitted from Cracku's IPMAT Course

Crack IPMAT 2026 with Cracku

Ask AI

Ask our AI anything

AI can make mistakes. Please verify important information.