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The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.
  • a)
    11000, 8550
  • b)
    12000, 7750
  • c)
    15000, 8750
  • d)
    13000, 9780
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The income of Vinay and Prakash are in the ratio of 4:5 and their expe...
4x – 2y = 5000 and 5x – 3y = 5000.
X = 8750, so income = 8750 and 15000
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Most Upvoted Answer
The income of Vinay and Prakash are in the ratio of 4:5 and their expe...
Given that the ratio of the income of Vinay and Prakash is 4:5 and their expenditure is in the ratio of 2:3. Let us assume that the income of Vinay and Prakash is 4x and 5x respectively.

Their savings can be calculated as follows:
Savings of Vinay = Income of Vinay - Expenditure of Vinay = 4x/2 - 2x/2 = 2x/2 = x
Savings of Prakash = Income of Prakash - Expenditure of Prakash = 5x/3 - 3x/3 = 2x/3

Given that they both save Rs. 5000 each, we can form the following equation:
x + 2x/3 = 5000 + 5000
Solving the above equation, we get x = 7500

Therefore, the income of Vinay = 4x = 4*7500 = 30000
And the income of Prakash = 5x = 5*7500 = 37500

Hence, the correct answer is option C) 15000, 8750.
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The income of Vinay and Prakash are in the ratio of 4:5 and their expenditure is in the ratio of 2:3. If each of them saves 5000, then find their income.a)11000, 8550b)12000, 7750c)15000, 8750d)13000, 9780e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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