Question
Ravi’ spends 60% of his income whereas
‘Karan’ spends 80% of his income. If each of them saves Rs. 6,000, then find the total expenses of ‘Ravi’ and ‘Karan’ together.Solution
ATQ; Let the income of ‘Ravi’ be Rs. ‘100x’ and income of ‘Karan’ be Rs. ‘100y’ Expense of ‘Ravi’ = 0.60 × 100x = Rs. ‘60x’ Expense of ‘Karan’ = 0.80 × 100y = Rs. ‘80y’ ATQ; 100x – 60x = 6000 Or, 40x = 6000 So, x = 150100y – 80y = 6000 Or, 20y = 6000 Or, y = 300 So, required sum = (60 × 150) + (80 × 300) = 9000 + 24000 = Rs. 33,000
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