Question
The sum of the original incomes of βRβ and βSβ
is Rs. 60000. If the income of βRβ had been Rs. 6000 more, then it would have been 20% more than the original income of βSβ. βRβ and βSβ spend 80% and 70% of their respective original incomes. Find the difference between their savings.Solution
Let the original income of βRβ be Rs. x Therefore, original income of βSβ = Rs. (60000 β x) According to the question, (x + 6000) = 1.2(60000 β x) Or, x + 6000 = 72000 β 1.2x Or, 2.2x = 66000 Or, x = 30000 Therefore, income of βRβ = Rs. 30000
Income of βSβ = Rs. 30000 Savings of βRβ = 0.20 Γ 30000 = Rs. 6000
Savings of βSβ = 0.30 Γ 30000 = Rs. 9000 Required difference = 9000 β 6000 = Rs. 3000
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