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
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
To find the change in the percentage profit of the village, we first need to calculate the total profit earned by the male and female populations separately.
Given that the male population of the village is 55% out of a total of 2000 people, we can calculate the number of males:
Number of males = 55% of 2000 = (55/100) * 2000 = 1100
Similarly, the number of females in the village can be calculated as:
Number of females = Total population - Number of males
Number of females = 2000 - 1100 = 900
Now, let's calculate the profit earned by the male population:
Profit earned by males = 5% of their investment * total number of males
Profit earned by males = (5/100)*50*1100 = 2750
Similarly, let's calculate the profit earned by the female population:
Profit earned by females = 8% of their investment * total number of females
Profit earned by females = (8/100)*50*900 = 3600
Now, let's calculate the total profit earned by the village initially:
Total profit initial = Profit earned by males + Profit earned by females
Total profit initial = 2750 + 3600 = 6350
Next year, if the ratio of males to females gets reversed, the number of males becomes 900, and the number of females becomes 1100.
Profit earned by males next year = 5% of their investment * total number of males
Profit earned by males next year = (5/100)*50*900 = 2250
Profit earned by females next year = 8% of their investment * total number of females
Profit earned by females next year = (8/100)*50*1100 = 4400
Calculating the total profit next year:
Total profit next year = Profit earned by males next year + Profit earned by females next year
Total profit next year = 2250 + 4400 = 6650
To find the change in the percentage profit, we need to calculate the difference between the initial and next year's profit and express it as a percentage of the initial profit.
Change in profit = Total profit next year - Total profit initial
Change in profit = 6650 - 6350 = 300
Percentage change in profit = (Change in profit / Total profit initial) * 100
Percentage change in profit = (300 / 6350) * 100 ≈ 4.72%
Therefore, the change in the percentage profit of the village would be approximately 4.72%.