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Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.
The second digit is times the third digit. The third digit is three fourth of the fourth digit
The fourth digit is 1 times the last and the fifth digit How much does Monu earn ?
The second digit is times the third digit. The third digit is three fourth of the fourth digit
The fourth digit is 1 times the last and the fifth digit How much does Monu earn ?
Most Upvoted Answer
Monu earns a five-digit salary in rupees every month. The first digit ...
Understanding Monu's Salary Digits
To find Monu's five-digit salary in rupees, we need to break down the clues provided about each digit in the salary.
Clue Analysis
- The first digit is equal to the second digit.
- The second digit is twice the third digit.
- The third digit is three-fourths of the fourth digit.
- The fourth digit is equal to the fifth digit.
Defining Variables
Let’s define each digit:
- Let the first digit be x.
- Then, the second digit is also x.
- The third digit can be defined as y.
- The fourth digit can be defined as z.
- The fifth digit is also z.
Setting Up Equations
From the clues, we can set up the following equations:
1. x = x (first digit = second digit)
2. x = 2y (second digit = twice the third digit)
3. y = (3/4)z (third digit = three-fourths of the fourth digit)
4. z = z (fourth digit = fifth digit)
Finding Values
- From equation 2, we express y in terms of x:
\( y = \frac{x}{2} \)
- Substitute y into equation 3:
\( \frac{x}{2} = \frac{3}{4}z \)
Rearranging gives:
\( z = \frac{2x}{3} \)
- Since z is also the fifth digit, we can express all digits in terms of x.
Finding Valid Digits
Since x, y, and z must be single digits (0-9):
- The values must be integers.
- Possible values for x are 0, 2, 4, 6, 8 (as they must be even).
After testing valid combinations, we find:
If \( x = 6 \):
- y = 3
- z = 4
Thus, Monu's salary is 66344.
To find Monu's five-digit salary in rupees, we need to break down the clues provided about each digit in the salary.
Clue Analysis
- The first digit is equal to the second digit.
- The second digit is twice the third digit.
- The third digit is three-fourths of the fourth digit.
- The fourth digit is equal to the fifth digit.
Defining Variables
Let’s define each digit:
- Let the first digit be x.
- Then, the second digit is also x.
- The third digit can be defined as y.
- The fourth digit can be defined as z.
- The fifth digit is also z.
Setting Up Equations
From the clues, we can set up the following equations:
1. x = x (first digit = second digit)
2. x = 2y (second digit = twice the third digit)
3. y = (3/4)z (third digit = three-fourths of the fourth digit)
4. z = z (fourth digit = fifth digit)
Finding Values
- From equation 2, we express y in terms of x:
\( y = \frac{x}{2} \)
- Substitute y into equation 3:
\( \frac{x}{2} = \frac{3}{4}z \)
Rearranging gives:
\( z = \frac{2x}{3} \)
- Since z is also the fifth digit, we can express all digits in terms of x.
Finding Valid Digits
Since x, y, and z must be single digits (0-9):
- The values must be integers.
- Possible values for x are 0, 2, 4, 6, 8 (as they must be even).
After testing valid combinations, we find:
If \( x = 6 \):
- y = 3
- z = 4
Thus, Monu's salary is 66344.
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Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ?
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Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ?.
Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Monu earns a five-digit salary in rupees every month. The first digit is of the second digit.The second digit is times the third digit. The third digit is three fourth of the fourth digitThe fourth digit is 1 times the last and the fifth digit How much does Monu earn ?.
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