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The tax on a commodity diminishes by 14% and its consumption increases by 10%. Find the effect on revenue.
Decreases by 9.5%
Decreases by 6.5%
Decreases by 5.4%
Decreases by 7.4%
- Initial Revenue: Let's assume the initial revenue from the commodity is 100 units.
- Tax Decrease: The tax diminishes by 14%, so the new tax rate is 86% of the original.
- Consumption Increase: The consumption increases by 10%, so the new quantity consumed is 110% of the original.
- New Revenue Calculation: New revenue = New Tax Rate × New Consumption = 0.86 × 1.10
- Effect on Revenue: The new revenue becomes 0.946 or 94.6% of the original revenue.
- Revenue Decrease: This is a decrease of 5.4% from the original revenue.
- Correct Option: Decreases by 5.4%
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