Multiple choice

The price of sugar has increased by 14%. By what percentage can a person decrease the consumption so that there is an increase in the expenditure by 8% only? (correct to one decimal place)

  1. 5.9%

  2. 5.3%

  3. 5.7%

  4. 5.5%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let initial price be 100 and consumption be 100. Expenditure = 10000. New price = 114. New expenditure = 10800. New consumption = 10800 / 114 = 94.736. Decrease = 100 - 94.736 = 5.26 percent, which rounds to 5.3 percent.

AI explanation

Using the expenditure relationship, which is final expenditure = price * consumption, we have 108 = 114 * C1. Solving for the new consumption gives C1 = 108 / 114 = 0.9473, which is 94.7 percent of the original consumption. The required decrease in consumption is therefore 100 - 94.7 = 5.3 percent.

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