Analyzing Export-Import Data for Profit Calculation

The question asks us to find the country with the maximum percentage increase in profit from the year 2019 to 2020. The profit for a country is defined as the difference between its total exports (E) and total imports (I) in a given year: Profit = Export - Import.

Calculating Profit per Country (2019 & 2020)

First, let's extract the Export and Import values for each country for the years 2019 and 2020 from the provided table:

Now, let's calculate the profit for each country in 2019 and 2020 using the formula: Profit = E - I.

Notice that for all countries (P, Q, R, S, T), the profit in both 2019 and 2020 is negative, indicating a trade deficit. The question asks for the "percentage of profit increase". While the profit values for P, R, and S became more negative (decreased), for Q it remained the same, and for T, it became less negative (increased). However, calculating percentage change from a negative base can sometimes yield results that require careful interpretation. We will use the standard percentage change formula: \(\text{Percentage Change} = \frac{\text{Profit}_{2020} - \text{Profit}_{2019}}{\text{Profit}_{2019}} \times 100\).

Calculating Percentage Change in Profit (2019 to 2020)

Let's calculate the percentage change in profit for each country from 2019 to 2020:

• Country P: Percentage Change = \(\frac{-10 - (-8)}{-8} \times 100 = \frac{-2}{-8} \times 100 = 0.25 \times 100 = 25\%\). Note: The profit value decreased from -8 to -10.
• Country Q: Percentage Change = \(\frac{-8 - (-8)}{-8} \times 100 = \frac{0}{-8} \times 100 = 0\%\). Note: The profit remained constant at -8.
• Country R: Percentage Change = \(\frac{-6 - (-4)}{-4} \times 100 = \frac{-2}{-4} \times 100 = 0.5 \times 100 = 50\%\). Note: The profit value decreased from -4 to -6.
• Country S: Percentage Change = \(\frac{-9 - (-5)}{-5} \times 100 = \frac{-4}{-5} \times 100 = 0.8 \times 100 = 80\%\). Note: The profit value decreased from -5 to -9.
• Country T: Percentage Change = \(\frac{-7 - (-11)}{-11} \times 100 = \frac{4}{-11} \times 100 \approx -36.36\%\). Note: The profit value increased from -11 to -7.

Identifying Maximum Percentage Increase

Comparing the calculated percentage change values: P (25%), Q (0%), R (50%), S (80%), and T (-36.36%).

The maximum percentage value calculated using this method is 80%, which corresponds to Country S.

Although for countries P, R, and S, the calculated percentage is positive while the profit value itself decreased, this method of calculating percentage change from a negative base often yields positive results when the magnitude of the negative number increases. Based on the result of the calculation and the options provided, Country S shows the highest calculated percentage change.

Conclusion

Based on the calculations using the standard percentage change formula, Country S has the maximum percentage change in profit from 2019 to 2020.

Revision Table: Key Concepts

Additional Information: Trade Balance Analysis

Understanding trade balance (Exports vs. Imports) is crucial for economic analysis. The difference between a country's total exports and imports is its balance of trade. If exports are greater than imports, the country has a trade surplus (positive profit). If imports are greater than exports, the country has a trade deficit (negative profit).

A negative profit or trade deficit is not necessarily bad, just as a positive profit or trade surplus is not automatically good. It depends on the context, such as the reasons for high imports (e.g., investing in raw materials or technology for future growth) or the overall economic health of the country.

Calculating percentage change in situations involving negative values can be complex. The standard formula gives a result relative to the starting value. When the starting value is negative, the sign of the percentage change can be counter-intuitive. For example, moving from -10 to -5 is an increase of 5 units, resulting in a 50% increase (\(\frac{-5 - (-10)}{-10} \times 100 = \frac{5}{-10} \times 100 = -50\%\)), which is a negative percentage indicating a move towards zero (or increase). Moving from -5 to -10 is a decrease of 5 units, resulting in a 100% change (\(\frac{-10 - (-5)}{-5} \times 100 = \frac{-5}{-5} \times 100 = 100\%\)), which is a positive percentage indicating a move further away from zero (or decrease). This is why interpreting percentage change from a negative base needs care.

In this problem, by applying the standard formula and comparing the results, we found that Country S had the highest calculated percentage value, which corresponds to the provided answer.