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If the price of petrol is increased by 81%, by what percentage should the consumption of petrol be decreased by the consumer if the expenditure on petrol remains unchanged? (Correct to two decimal places)
40.45%
41.25%
43.12%
44.75%
- If the price of petrol increases by 81%, the cost becomes 181% of the original.
- To keep the expenditure constant, consumption must decrease proportionally.
- Let original price per litre be P, and let original consumption be C litres.
- Original expenditure: P×C.
- New price: 1.81P.
- New consumption needed: New Price×New Consumption=Original Expenditure.
- Solve: 1.81P×New Consumption=P×C.
- New consumption: New Consumption=C1.81.
- Decrease in consumption: C−C1.81=0.81C1.81.
- Percentage decrease: (0.811.81)×100=44.75%.
Correct Answer: 44.75% (Option 4)
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