Question
Download Solution PDFIncome of A is 30% more than that of B, and the savings of A and B are in the ratio of 3 : 2. If each of them spent ₹3,500, find the sum of incomes of A and B.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Income of A is 30% more than that of B
Savings of A and B are in the ratio of 3:2
Each of them spent ₹3,500
Formula used:
Savings = Income - Expenditure
Calculation:
If Income of B = ₹x, then Income of A = ₹1.3x
Savings of B = x - 3,500
Savings of A = 1.3x - 3,500
According to the given ratio:
(1.3x - 3,500) / (x - 3,500) = 3 / 2
⇒ 2(1.3x - 3,500) = 3(x - 3,500)
⇒ 2.6x - 7,000 = 3x - 10,500
⇒ 0.4x = 3,500
⇒ x = ₹8,750
Income of B = ₹8,750
Income of A = 1.3 x 8,750 = ₹11,375
Sum of incomes of A and B = ₹8,750 + ₹11,375 = ₹20,125
∴ The correct answer is option (4).
Last updated on May 16, 2025
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