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Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:
- a)7 : 6
- b)3 : 2
- c)7 : 8
- d)8 : 7
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two numbers are 30% and 20% less than a third number respectively. The...
Given:
Two numbers are 30% and 20% less than a third number respectively.
Formula Used:
If a number is x% less than another number, then it is equal to (100 - x)% of that number.
Ratio = First number / Second number
Calculation:
Let the third number be 100.
First number = 100 - 30% of 100
First number = 100 - 30
First number = 70
Second number = 100 - 20% of 100
Second number = 100 - 20
Second number = 80
Ratio of the first two numbers = First number / Second number
⇒ Ratio = 70 / 80
⇒ Ratio = 7 / 8
The ratio of the first two numbers is 7 : 8.
Most Upvoted Answer
Two numbers are 30% and 20% less than a third number respectively. The...
Understanding the Problem
To find the ratio of two numbers that are less than a third number, we first need to define the third number. Let's denote the third number as "x".
Calculating the First Number
- The first number is 30% less than x.
- This can be calculated as:
- First Number = x - (30/100)x = 0.7x
Calculating the Second Number
- The second number is 20% less than x.
- This is calculated as:
- Second Number = x - (20/100)x = 0.8x
Finding the Ratio
- Now, we need to find the ratio of the first number to the second number:
- Ratio = First Number : Second Number
- Ratio = 0.7x : 0.8x
- Since "x" appears in both terms, we can simplify:
- Ratio = 0.7 : 0.8
Simplifying the Ratio
- To simplify, divide both sides by 0.1:
- Ratio = 7 : 8
Conclusion
- The ratio of the first number to the second number is 7 : 8, which corresponds to option 'C'.
This clear calculation helps in understanding how the percentages affect the values and how to derive the ratio effectively.
To find the ratio of two numbers that are less than a third number, we first need to define the third number. Let's denote the third number as "x".
Calculating the First Number
- The first number is 30% less than x.
- This can be calculated as:
- First Number = x - (30/100)x = 0.7x
Calculating the Second Number
- The second number is 20% less than x.
- This is calculated as:
- Second Number = x - (20/100)x = 0.8x
Finding the Ratio
- Now, we need to find the ratio of the first number to the second number:
- Ratio = First Number : Second Number
- Ratio = 0.7x : 0.8x
- Since "x" appears in both terms, we can simplify:
- Ratio = 0.7 : 0.8
Simplifying the Ratio
- To simplify, divide both sides by 0.1:
- Ratio = 7 : 8
Conclusion
- The ratio of the first number to the second number is 7 : 8, which corresponds to option 'C'.
This clear calculation helps in understanding how the percentages affect the values and how to derive the ratio effectively.
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Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer?.
Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two numbers are 30% and 20% less than a third number respectively. The ratio of first two numbers is:a)7 : 6b)3 : 2c)7 : 8d)8 : 7Correct answer is option 'C'. Can you explain this answer?.
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