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The ratio of income and expenditure of my friend is 5 : 2. His savings are ₹15,000. His expenditure breakdown is as follows: (x + 7.5)% on…

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The ratio of income and expenditure of my friend is 5 : 2. His savings are ₹15,000. His expenditure breakdown is as follows: (x + 7.5)% on food, (x + 2)% on entertainment, (x + 5.5)% on rent and the remaining on children’s education. If he spends ₹4,000 on children’s education, find the value of x.
  • A15
  • B5.5
  • C7.5
  • D1.5
Correct answer: A

Explanation

Income : expenditure = 5 : 2 and savings (3 parts) = ₹15,000, so one part = ₹5,000. Expenditure = ₹10,000. Children's education ₹4,000 is 40%, so the other three items total 60%: (x + 7.5) + (x + 2) + (x + 5.5) = 60, giving 3x = 45 and x = 15.

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