Question:
The price of LPG increases by \(16\%\). By what percentage should consumption be reduced so that the total expenditure remains the same?
The price of LPG increases by \(16\%\). By what percentage should consumption be reduced so that the total expenditure remains the same?
Show Hint
For constant expenditure:
\[
\text{Reduction \%}=\frac{\text{Increase \%}}{100+\text{Increase \%}}\times100
\]
This shortcut saves a lot of time in competitive exams.
Updated On: Jun 11, 2026
- \(13.79\%\)
- \(16.67\%\)
- \(13.30\%\)
- \(15.26\%\)
Show Solution
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The Correct Option is A
Solution and Explanation
Concept:
If price increases by \(x\%\), then the required reduction in consumption to keep expenditure constant is
\[
\frac{x}{100+x}\times100
\]
This is a standard result from percentage theory.
Step 1: Apply the formula. Given \[ x=16 \] Required reduction \[ = \frac{16}{116}\times100 \] \[ = 13.7931\% \]
Step 2: Round to two decimal places. \[ 13.7931\%\approx13.79\% \] Therefore, \[ \boxed{13.79\%} \] \[ \boxed{\text{Answer = (A)}} \]
Step 1: Apply the formula. Given \[ x=16 \] Required reduction \[ = \frac{16}{116}\times100 \] \[ = 13.7931\% \]
Step 2: Round to two decimal places. \[ 13.7931\%\approx13.79\% \] Therefore, \[ \boxed{13.79\%} \] \[ \boxed{\text{Answer = (A)}} \]
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