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5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.?
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5 percent of the population of a town were killed in the earthquake an...
Given:
- 5% of the population of a town were killed in the earthquake.
- 8% of the remainder left the town.
- The current population of the town is 43700.
To find:
- The population of the town in the beginning.
Assumptions:
- The earthquake only caused deaths and did not result in any births or migration into the town.
- The 8% of the remaining population who left the town did not die in the earthquake.
Solution:
Let's assume the initial population of the town was P.
Step 1: Calculate the number of people killed in the earthquake:
- 5% of the population was killed in the earthquake.
- This means 5% of P, or 0.05P people were killed.
Step 2: Calculate the remaining population after the earthquake:
- The remaining population is equal to P minus the number of people killed.
- Therefore, the remaining population is P - 0.05P = 0.95P.
Step 3: Calculate the number of people who left the town:
- 8% of the remaining population left the town.
- This means 8% of 0.95P, or 0.08 * 0.95P people left the town.
Step 4: Calculate the current population of the town:
- The current population is equal to the remaining population minus the number of people who left.
- Therefore, the current population is 0.95P - 0.08 * 0.95P = 43700.
Step 5: Solve for P:
- Simplifying the equation, we have 0.95P - 0.076P = 43700.
- Combining like terms, we get 0.874P = 43700.
- Dividing both sides by 0.874, we find P = 43700 / 0.874 ≈ 50000.
Therefore, the population of the town in the beginning was approximately 50000.
- 5% of the population of a town were killed in the earthquake.
- 8% of the remainder left the town.
- The current population of the town is 43700.
To find:
- The population of the town in the beginning.
Assumptions:
- The earthquake only caused deaths and did not result in any births or migration into the town.
- The 8% of the remaining population who left the town did not die in the earthquake.
Solution:
Let's assume the initial population of the town was P.
Step 1: Calculate the number of people killed in the earthquake:
- 5% of the population was killed in the earthquake.
- This means 5% of P, or 0.05P people were killed.
Step 2: Calculate the remaining population after the earthquake:
- The remaining population is equal to P minus the number of people killed.
- Therefore, the remaining population is P - 0.05P = 0.95P.
Step 3: Calculate the number of people who left the town:
- 8% of the remaining population left the town.
- This means 8% of 0.95P, or 0.08 * 0.95P people left the town.
Step 4: Calculate the current population of the town:
- The current population is equal to the remaining population minus the number of people who left.
- Therefore, the current population is 0.95P - 0.08 * 0.95P = 43700.
Step 5: Solve for P:
- Simplifying the equation, we have 0.95P - 0.076P = 43700.
- Combining like terms, we get 0.874P = 43700.
- Dividing both sides by 0.874, we find P = 43700 / 0.874 ≈ 50000.
Therefore, the population of the town in the beginning was approximately 50000.
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5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.?
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5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in 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 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.?.
5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in 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 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 percent of the population of a town were killed in the earthquake and 8 percent of the remainder left the town.If the population of the town now is 43700 , what was it's population in the beginning.?.
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