two thousand people live in business village of which 55% were male. the male population earned 5 % and female population earned 8% on an investment of rs. 50 each. find the change in the % profit of the village if the ratio of male to female gets reversed the next year and population remain same

Well, it seems like Business Village is experiencing some gender role reversal! Let's calculate the change in the percentage profit.

If 55% of the population were males, we have 0.55 * 2000 = 1100 male residents. The remaining 45% would be female, totaling 2000 - 1100 = 900 female residents.

The male population earned 5% of Rs. 50, which is 0.05 * 50 * 1100 = Rs. 2750.

Similarly, the female population earned 8% of Rs. 50, which is 0.08 * 50 * 900 = Rs. 3600.

The total profit for the village is Rs. 2750 + Rs. 3600 = Rs. 6350.

Now, if the ratio of males to females is reversed, we would have 900 males and 1100 females.

The male population would earn 8% of Rs. 50, which is 0.08 * 50 * 900 = Rs. 3600.

The female population would earn 5% of Rs. 50, which is 0.05 * 50 * 1100 = Rs. 2750.

The new total profit for the village would be Rs. 3600 + Rs. 2750 = Rs. 6350.

To find the percentage change in profit, we can use the formula:

Change in percentage = ((New Value - Old Value) / Old Value) * 100

So, ((6350 - 6350) / 6350) * 100 = 0% change in the profit of the village.

Looks like the village remains equally profitable regardless of the gender ratio!

To find the change in the percentage profit of the village, we need to calculate the total investment and total profit for both the male and female populations separately.

Given:
Total number of people in the village = 2000
Percentage of males = 55%
Percentage of females = 100% - 55% = 45%

Let's calculate the total investment and total profit for the male population first:

Total number of males = 55% of 2000 = 0.55 * 2000 = 1100 males

Total investment by males = Total number of males * Investment per person = 1100 * Rs. 50 = Rs. 55,000

Total profit earned by males = Total investment by males * Profit percentage = Rs. 55,000 * 5% = Rs. 2,750

Now, let's calculate the total investment and total profit for the female population:

Total number of females = 45% of 2000 = 0.45 * 2000 = 900 females

Total investment by females = Total number of females * Investment per person = 900 * Rs. 50 = Rs. 45,000

Total profit earned by females = Total investment by females * Profit percentage = Rs. 45,000 * 8% = Rs. 3,600

Next year, if the ratio of male to female is reversed, the new ratio of males to females will be 45:55.

Now, let's calculate the new total investment and total profit for the male and female populations based on this new ratio:

Total number of males in the next year = 45% of 2000 = 0.45 * 2000 = 900 males

New total investment by males = Total number of males * Investment per person = 900 * Rs. 50 = Rs. 45,000

New total profit earned by males = New total investment by males * Profit percentage = Rs. 45,000 * 5% = Rs. 2,250

Total number of females in the next year = 55% of 2000 = 0.55 * 2000 = 1100 females

New total investment by females = Total number of females * Investment per person = 1100 * Rs. 50 = Rs. 55,000

New total profit earned by females = New total investment by females * Profit percentage = Rs. 55,000 * 8% = Rs. 4,400

To find the change in the percentage profit of the village, we need to find the difference between the new total profit and the current total profit, and then calculate the percentage change.

Change in total profit = (New total profit - Current total profit) = (Rs. 2,250 + Rs. 4,400) - (Rs. 2,750 + Rs. 3,600) = Rs. 6,650 - Rs. 6,350 = Rs. 300

Change in percentage profit = (Change in total profit / Current total profit) * 100 = (Rs. 300 / (Rs. 2,750 + Rs. 3,600)) * 100 ≈ 4.76%

Therefore, the change in the percentage profit of the village when the ratio of male to female gets reversed is approximately 4.76%.

To find the change in the % profit of the village if the ratio of male to female gets reversed the next year and the population remains the same, we need to calculate the total profit in both scenarios and compare them.

Let's break down the calculations step by step:

1. Current Scenario:
In the current scenario, 55% of the population are males, which means there are 55% of 2,000 = 1,100 males.
Similarly, 45% of the population are females, which means there are 45% of 2,000 = 900 females.

The males earn 5% profit on their investment of Rs. 50 each, so the total profit earned by the males in the village is:
1,100 * (5/100) * 50 = Rs. 27,500

The females earn 8% profit on their investment of Rs. 50 each, so the total profit earned by the females in the village is:
900 * (8/100) * 50 = Rs. 36,000

The total profit earned by the village in the current scenario is:
Rs. 27,500 + Rs. 36,000 = Rs. 63,500

2. Reversed Scenario:
In the reversed scenario, the ratio of male to female is reversed, so now we have 55% females and 45% males.

The females still earn 8% profit on their investment of Rs. 50 each, so the total profit earned by the females in the village is:
1,100 * (8/100) * 50 = Rs. 44,000

The males still earn 5% profit on their investment of Rs. 50 each, so the total profit earned by the males in the village is:
900 * (5/100) * 50 = Rs. 22,500

The total profit earned by the village in the reversed scenario is:
Rs. 44,000 + Rs. 22,500 = Rs. 66,500

3. Change in % Profit:
To find the change in % profit, we need to compare the total profits in both scenarios. The change can be calculated using the formula:
Change = [(New Value - Old Value) / Old Value] * 100

Change = [(66,500 - 63,500) / 63,500] * 100
Change = (3,000 / 63,500) * 100
Change = 4.72%

Therefore, the change in the % profit of the village if the ratio of male to female gets reversed the next year and the population remains the same is approximately 4.72%.

.55*1.05 + .45*1.08 = 1.0635

.45*1.05 + .55*1.08 = 1.0665

so, what is the % change?

The amount invested does not matter, since it is all the same.