2024 · Q65
A question is given followed by two statements I and II. Consider the Question and the Statements and mark the correct option. Question : If the price of petrol goes up by 20%, by what percentage should the consumption be reduced so that the expenditure remains the same?
Statement IPrice of petrol per litre was Rs. 90
Statement IIConsumption was 24 litre before price hike Which one of the following is correct in respect of the above Question and the Statements?
Elementary MathematicsPercentages
- AThe Question can be answered by using one of the Statements alone, but cannot be answered using the other Statement alone
- BThe Question can be answered by using either Statement alone
- CThe Question can be answered by using both the Statements together, but cannot be answered using either Statement alone
- DThe Question can be answered even without using any of the Statements
Explanation
A 20% price rise means ₹120 now buys what ₹100 bought. To keep expenditure fixed, consumption must fall to 100/120 = 5/6 of the original, a cut of 1/6 ≈ 16.67%. This uses no price or quantity data at all. So the question is answerable even without either statement — option D.