12. Looking at the increasing trend of smoking habit of teenagers, Ministry of Health, research team undertake a study and found that the price elasticity of demand for cigarettes is about 0.75. If a pack of cigarettes currently costs Rs.75 and government wants to reduce smoking by 30 percent, by how much should it increase the price?
If price elasticity of ci garettes is at 0.75 and the government want to reduce consumption by:
"0.75\\times increase = 30;"
"Increase=\\frac{30}{0.75}=40"
Increasing price by 40% will reduce consumption by 30%.
"New price=1.4\\times75=105"
Increase=105-75=Rs. 30
For consumption to be reduced to 30%, price should be increased by Rs. 30 which is 40% increase.
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