Class 8 Exam > Class 8 Questions > 5% of the population of a town were killed in...
Start Learning for Free
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?
Most Upvoted Answer
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.
Attention Class 8 Students!
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.
|
Explore Courses for Class 8 exam
|
|
Top Courses for Class 8View all
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for Class 8.
Download more important topics, notes, lectures and mock test series for Class 8 Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of
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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an
ample number of questions to practice 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? tests, examples and also practice Class 8 tests.
|
|
Explore Courses for Class 8 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup