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The ratio of the income of Raman to that of Karan is 9 : 8 while the ratio of their respective expenditures is 5 : 6. If the ratio of the savings of Raman to that of Karan is 13 : 10, the savings of Karan is what percent of the income of Raman?
  • a)
    45.45%
  • b)
    55.55%
  • c)
    62.5%
  • d)
    33.33%
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The ratio of the income of Raman to that of Karan is 9 : 8 while the r...

Calculation:

Step 1: Find the savings of Raman and Karan
- Let the income of Raman be 9x and the income of Karan be 8x.
- Let the expenditures of Raman be 5y and the expenditures of Karan be 6y.
- Let the savings of Raman be 13z and the savings of Karan be 10z.

Step 2: Calculate the savings of Raman and Karan
- Savings of Raman = Income of Raman - Expenditures of Raman = 9x - 5y = 13z
- Savings of Karan = Income of Karan - Expenditures of Karan = 8x - 6y = 10z

Step 3: Solve the above equations to find the values of x, y, and z
- From the given ratios:
9x - 5y = 13z
8x - 6y = 10z

Step 4: Calculate the savings of Karan as a percentage of the income of Raman
- Savings of Karan = 10z
- Income of Raman = 9x

Step 5: Calculate the percentage
- Percentage = (Savings of Karan / Income of Raman) * 100
- Substitute the values of z and x to get the percentage

Therefore, the savings of Karan is 55.55% of the income of Raman.
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Community Answer
The ratio of the income of Raman to that of Karan is 9 : 8 while the r...
Income Raman : Karan = 9 : 8
Expenditure Raman : Karan = 5 : 6
Income (Raman) = 9x and Income (Karan) = 8x
Expenditure (Raman) = 5y and Expenditure (Karan) = 6y
(9x – 5y) : (8x – 6y) = 13 : 10
x : y = 2 : 1


Hence, option B is correct.
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The ratio of the income of Raman to that of Karan is 9 : 8 while the ratio of their respective expenditures is 5 : 6. If the ratio of the savings of Raman to that of Karan is 13 : 10, the savings of Karan is what percent of the income of Raman?a)45.45%b)55.55%c)62.5%d)33.33%Correct answer is option 'B'. Can you explain this answer?
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The ratio of the income of Raman to that of Karan is 9 : 8 while the ratio of their respective expenditures is 5 : 6. If the ratio of the savings of Raman to that of Karan is 13 : 10, the savings of Karan is what percent of the income of Raman?a)45.45%b)55.55%c)62.5%d)33.33%Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about The ratio of the income of Raman to that of Karan is 9 : 8 while the ratio of their respective expenditures is 5 : 6. If the ratio of the savings of Raman to that of Karan is 13 : 10, the savings of Karan is what percent of the income of Raman?a)45.45%b)55.55%c)62.5%d)33.33%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the income of Raman to that of Karan is 9 : 8 while the ratio of their respective expenditures is 5 : 6. If the ratio of the savings of Raman to that of Karan is 13 : 10, the savings of Karan is what percent of the income of Raman?a)45.45%b)55.55%c)62.5%d)33.33%Correct answer is option 'B'. Can you explain this answer?.
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