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If the price of rice is raised by 20%, then by what percent should a person reduce his consumption of rice...

17. If the price of rice is raised by 20%, then by what percent should a person reduce his consumption of rice so that his expenditure remains the same? (correct to one decimal place)

Answer

Let the original price of rice be 100 units and the original consumption be 100 units, making the expenditure 100 * 100 = 10,000 units.

After a 20% increase, the new price is 120 units.

To keep the expenditure the same, the new consumption should be 10,000 / 120 = 83.33 units.

The reduction in consumption is 100 - 83.33 = 16.67 units.

The percentage reduction in consumption is (16.67 / 100) * 100 = 16.67%.

Answer: 16.7%

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