- A20%
- B22%
- C21%
- D25%
Time Taken:
Correct Answer:
Wrong Answer:
Percentage: %
The solution would be calculated as follows: 50% of (x-y) = 30% of (x+y) (50/100)(x-y) = (30/100)(x+y) 5(x-y) = 3(x+y) 2x = 8y x = 4y Therefore, the required percentage is ((y/x) * 100)% = ((y/4y) * 100) = 25%. This means that y is equal to 25% of x
To do this, you can set up an equation to represent the total number of inhabitants after the two transactions have occurred, and then solve for the initial number of inhabitants. The solution would be calculated as follows: Let the total number of original inhabitants be x. Then the number of inhabitants after 10% have died is (90/100)x. The number of inhabitants after 25% have left is ((75/100) * (90/100)x). This is equal to 4050, so we have the equation: ((75/100) * (90/100)x) = 4050. Solving for x, we get: x = ((4050 * 40) / 27) = 6000. This means that there were originally 6000 inhabitants in the village.
To find the population size at the beginning of the first year, we can use the formula:
Population at the beginning of the first year = (Total population at the end of the second year) / (1 + (percentage increase)) * (1 - (percentage increase))
Plugging in the values from the given information, we get:
Population at the beginning of the first year = 9975 / (1 + (5/100)) * (1 - (5/100))
Simplifying this expression, we get:
Population at the beginning of the first year = 9975 * (20/21) * (20/19)
Which simplifies to:
Population at the beginning of the first year = 10000
So the population at the beginning of the first year was 10000.
To solve this problem, you can set up an equation using the given information. Let X be the population of the village in the beginning. Then: X * (1 - 0.05) * (1 - 0.15) = 3553 X * 0.95 * 0.85 = 3553 X = (3553 / (0.95 * 0.85)) X = (3553 / (0.8075)) X = 4400 Therefore, the population of the village in the beginning was 4400.
we can define a variable "z" as the net percent change in receipts and set up the following equation: z = (x + y + xy/100)% = (-30 + 50 + (-30 * 50)/100)% = 5% This equation shows that the net percent change in receipts is 5%.
We can define a variable "z" as the net percent change in area and set up the following equation: z = (x + y + xy/100)% = (40 + 30 + (40 * 30)/100)% = 82% This equation shows that the net percent change in area is 82%.