UPSC Exam > UPSC Questions > If 16(⅔)% of number is added to its self, the...
Start Learning for Free
If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number?
Most Upvoted Answer
If 16(⅔)% of number is added to its self, the number becomes 1400. fin...
Understanding the Problem
To solve the problem, we need to find the original number (let's denote it as \( x \)) after adding 16(⅔)% of it to itself resulting in 1400.
Converting Percentage to Decimal
- First, convert 16(⅔)% to a decimal:
- 16(⅔)% = 16 + (2/3)%
- 16(⅔)% = 16 + 0.6667% = 16.6667%
- In decimal form: \( \frac{16.6667}{100} = 0.166667 \)
Setting Up the Equation
- According to the problem:
- Adding 16(⅔)% of \( x \) to \( x \) gives:
\[
x + 0.166667x = 1400
\]
- This simplifies to:
\[
1.166667x = 1400
\]
Solving for \( x \)
- To find \( x \), divide both sides by 1.166667:
\[
x = \frac{1400}{1.166667}
\]
- Calculating \( x \):
\[
x \approx 1200
\]
Conclusion
- The original number is approximately **1200**.
Thus, by understanding the percentage conversion and setting up the equation correctly, we can determine the original number that meets the condition specified in the problem.
To solve the problem, we need to find the original number (let's denote it as \( x \)) after adding 16(⅔)% of it to itself resulting in 1400.
Converting Percentage to Decimal
- First, convert 16(⅔)% to a decimal:
- 16(⅔)% = 16 + (2/3)%
- 16(⅔)% = 16 + 0.6667% = 16.6667%
- In decimal form: \( \frac{16.6667}{100} = 0.166667 \)
Setting Up the Equation
- According to the problem:
- Adding 16(⅔)% of \( x \) to \( x \) gives:
\[
x + 0.166667x = 1400
\]
- This simplifies to:
\[
1.166667x = 1400
\]
Solving for \( x \)
- To find \( x \), divide both sides by 1.166667:
\[
x = \frac{1400}{1.166667}
\]
- Calculating \( x \):
\[
x \approx 1200
\]
Conclusion
- The original number is approximately **1200**.
Thus, by understanding the percentage conversion and setting up the equation correctly, we can determine the original number that meets the condition specified in the problem.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number?
Question Description
If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number?.
If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number?.
Solutions for If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? defined & explained in the simplest way possible. Besides giving the explanation of
If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number?, a detailed solution for If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? has been provided alongside types of If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? theory, EduRev gives you an
ample number of questions to practice If 16(⅔)% of number is added to its self, the number becomes 1400. find the original number? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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