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The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.) 
  • a)
    24,000 and 18,000
  • b)
    28,000 and 21,000  
  • c)
    32,000 and 24,000  
  • d)
    34,000 and 26,000 
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their...
Given:
- The ratio of Peter's income to Paul's income is 4:3
- The ratio of Peter's expenses to Paul's expenses is 3:2
- Both Peter and Paul save Rs. 6,000 each at the end of the month

To find:
- Peter's and Paul's monthly incomes

Solution:
Let's assume that Peter's monthly income is 4x and Paul's monthly income is 3x.
Then, their expenses would be 3y and 2y respectively, where y is a common factor.
We know that both Peter and Paul save Rs. 6,000 each at the end of the month.
So, we can write the following equations:

- Peter's monthly income - Peter's monthly expenses = Rs. 6,000
- Paul's monthly income - Paul's monthly expenses = Rs. 6,000

Substituting the values, we get:

- 4x - 3y = 6,000
- 3x - 2y = 6,000

Solving these equations, we get:

x = 6,000 * 12 = 72,000
y = 3 * x / 4 = 54,000

Therefore, Peter's monthly income = 4x = 4 * 72,000 = Rs. 2,88,000
And Paul's monthly income = 3x = 3 * 72,000 = Rs. 2,16,000

Hence, the correct answer is option A) Rs. 24,000 and Rs. 18,000 respectively.
Free Test
Community Answer
The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their...
Let the income of Peter is x and Paul of y.
income -expenses=saving
for Peter, it is
4x-3x=6000
x=6000
for Paul, it is
3y-2y=6000
y=6000.
putting the value of x and y in ratio, we get
income of Peter=4x=4×6000=24000
income of Paul=3y=3×6000=18000.
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The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)a)24,000 and 18,000b)28,000 and 21,000 c)32,000 and 24,000 d)34,000 and 26,000Correct answer is option 'A'. Can you explain this answer?
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The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)a)24,000 and 18,000b)28,000 and 21,000 c)32,000 and 24,000 d)34,000 and 26,000Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)a)24,000 and 18,000b)28,000 and 21,000 c)32,000 and 24,000 d)34,000 and 26,000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)a)24,000 and 18,000b)28,000 and 21,000 c)32,000 and 24,000 d)34,000 and 26,000Correct answer is option 'A'. Can you explain this answer?.
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