Question
The monthly incomes of Rahul, Sanjay, and Vikram are in
the ratio of 3:5:4, while their monthly expenditures are in the ratio of 6:5:7. Rahul earns Rs. 6,000 per month and saves Rs. 2,000 from his income. Based on this information, determine Vikram’s monthly savings.Solution
ATQ; Let monthly income of ‘Rahul’, ‘Sanjay’ and ‘Vikram’ be Rs. ‘3x’, Rs. ‘5x’ and Rs. ‘4x’, respectively. ATQ; ‘3x’ = 6000 Or, x = 2000 So, monthly income of ‘Vikram’ = ‘4x = 4 × 2000 = Rs. 8,000 Let monthly expenditures of ‘Rahul’, ‘Sanjay’ and ‘Vikram’ be Rs. ‘6y’, Rs. ‘5y’ and Rs. ‘7y’, respectively. Monthly savings of ‘Rahul’ = Rs. 2,000 ATQ, (6000 – 6y) = 2000 Or, 6y = 4000 So, y = 667 So, monthly expenditure of ‘Vikram’ = 7y = 7 × 667 = Rs. 4,669 Therefore, monthly saving of ‘Vikram’ = (8000 – 4669) = Rs. 3,331
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