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5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning?
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5% of the population of a town were killed in an earthquake and 8 % of...
Given:
- 5% of the population of a town were killed in an earthquake.
- 8% of the remainder left the town.
- The current population is 43700.
To find:
- The population of the town at the beginning.
Assumptions:
- The earthquake and people leaving the town are the only factors affecting the population.
- The percentage calculations are based on the previous population number.
Step-by-step solution:
Step 1: Calculate the population after the earthquake.
Let's assume the initial population is 'P'.
- 5% of the population were killed in the earthquake, which means 95% of the population survived.
- Therefore, the population after the earthquake is 95% of the initial population: (95/100) * P.
Step 2: Calculate the population after people leaving the town.
- 8% of the remaining population left the town, which means 92% of the population stayed.
- Therefore, the population after people leaving the town is 92% of the population after the earthquake: (92/100) * (95/100) * P.
Step 3: Set up the equation.
According to the given information, the current population is 43700. So, we can write the equation as:
(92/100) * (95/100) * P = 43700
Step 4: Solve the equation.
To solve the equation, we can simplify the expression on the left-hand side and solve for P.
(92/100) * (95/100) * P = 43700
P = 43700 * (100/92) * (100/95)
P ≈ 51033.27
Answer:
The population of the town at the beginning was approximately 51033.
- 5% of the population of a town were killed in an earthquake.
- 8% of the remainder left the town.
- The current population is 43700.
To find:
- The population of the town at the beginning.
Assumptions:
- The earthquake and people leaving the town are the only factors affecting the population.
- The percentage calculations are based on the previous population number.
Step-by-step solution:
Step 1: Calculate the population after the earthquake.
Let's assume the initial population is 'P'.
- 5% of the population were killed in the earthquake, which means 95% of the population survived.
- Therefore, the population after the earthquake is 95% of the initial population: (95/100) * P.
Step 2: Calculate the population after people leaving the town.
- 8% of the remaining population left the town, which means 92% of the population stayed.
- Therefore, the population after people leaving the town is 92% of the population after the earthquake: (92/100) * (95/100) * P.
Step 3: Set up the equation.
According to the given information, the current population is 43700. So, we can write the equation as:
(92/100) * (95/100) * P = 43700
Step 4: Solve the equation.
To solve the equation, we can simplify the expression on the left-hand side and solve for P.
(92/100) * (95/100) * P = 43700
P = 43700 * (100/92) * (100/95)
P ≈ 51033.27
Answer:
The population of the town at the beginning was approximately 51033.
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5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning?
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5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning?.
5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about 5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5% of the population of a town were killed in an earthquake and 8 % of the remainder left the town now is 43700 , what was it's population at the beginning?.
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