Question 78

Logical Reasoning Aptitude Easy

Suppose the price of liquefied petroleum gas (LPG) increases by 16%, by how much percentage of the consumption of LPG be reduced by the household in order to keep the expenditure on LPG at the same level? (Rounded to two decimals)

(A) 13.79%
(B) 15.26%
(C) 16.66%
(D) 33.3%
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Let the initial price be 100. The new price becomes 116. To keep the expenditure the same, the reduction in consumption must be equal to the price increase fraction: $$ \text{Reduction } \% = \left( \frac{\text{Increase}}{\text{New Price}} \right) \times 100 $$ $$ \text{Reduction } \% = \left( \frac{16}{116} \right) \times 100 $$ $$ \text{Reduction } \% = \frac{1600}{116} \approx 13.79\% $$

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