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From 2018 to 2019, the profit of store 𝑋 decreases from 30 percent of the revenue to 20 percent of the revenue, while the profit of store 𝑌 increases from 20 percent of the revenue to 30 percent of the revenue. Quantity A  Quantity BThe percent decrease in the profit of store 𝑋 from 2018 to 2019 The percent increase in the profit of store 𝑌 from 2018 to 2019

Question

From 2018 to 2019, the profit of store 𝑋 decreases from 30 percent of the revenue to 20 percent of the revenue, while the profit of store 𝑌 increases from 20 percent of the revenue to 30 percent of the revenue. Quantity A  Quantity BThe percent decrease in the profit of store 𝑋 from 2018 to 2019 The percent increase in the profit of store 𝑌 from 2018 to 2019

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Solution

To solve this problem, we need to calculate the percent change for both stores.

For Store X:

  1. The initial profit was 30% of the revenue.
  2. The final profit was 20% of the revenue.
  3. The decrease in profit is 30% - 20% = 10%.
  4. The percent decrease in profit is (decrease in profit / initial profit) * 100% = (10% / 30%) * 100% = 33.33%.

For Store Y:

  1. The initial profit was 20% of the revenue.
  2. The final profit was 30% of the revenue.
  3. The increase in profit is 30% - 20% = 10%.
  4. The percent increase in profit is (increase in profit / initial profit) * 100% = (10% / 20%) * 100% = 50%.

So, Quantity A is 33.33% and Quantity B is 50%. Therefore, Quantity B is greater than Quantity A.

This problem has been solved

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