Question

A $14.4$ kg of gas cylinder runs for $104$ hours when the smaller burner on the gas stove is fully opened, while it runs for $80$ hours when the larger burner on the gas stove is fully opened. Which of these values are the closest to the percentage difference in the usage of gas per hour, between the smaller and the larger burner ?

• A. $26.23\%$
• B. $30\%$
• C. $32.23\%$
• D. $23.07\%$

Answer 1

The correct option is B $30\%$

Capacity of gas cylinder $=14.4$ kg
Smaller burner consumes gas $=\frac{14.4}{104}=0.1384$ kg per hour.
Larger burner consumes gas $=\frac{14.4}{80}=0.18$ kg per hour.
Now, difference in consumption per hour $=0.18-0.1384=0.0416$ kg
The percentage difference $=\left(\frac{0.0416}{0.1384}\right)\times 100=30\%$.