Question
"P" and "Q" have income to expenditure ratios of 5:2 and
5:3, respectively. If their combined incomes amount to Rs. 5,500 and "P" manages to save Rs. 1,500, determine the expenditure of "Q."Solution
Let, income and expenditure of ‘P’ be Rs. ‘5x’ and ‘2x’, respectively And, income and expenditure of ‘Q’ be Rs. ‘5y’ and Rs. ‘3y’, respectively. ATQ, 5x – 2x = 1500 Or, 3x = 1500 Or, x = 1500/3 = 500 Also, 5x + 5y = 5500 Or, x + y = 1100 So, y = 1100 – 500 = 600 Therefore, expenditure of ‘Q’ = 3 × 600 = Rs. 1,800
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