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ATQ, Let the income of 'X' and 'Y' be Rs. '5m' and Rs. '6m', respectively. Let the savings of 'Y' be Rs. '8n'. Savings of 'X' = 1.30 × 8n = Rs. '10.4n' Sum of expenditure of 'X' and 'Y' = (5m - 10.4n) + (6m - 8n) = 80000 Or, 11m - 18.4n = 80000 ....(i) ATQ, 0.45 × 11m = 5m - 10.4n Or, 4.95m = 5m - 10.4n Or, 5m - 4.95m = 10.4n Or, 0.05m = 10.4n Or, m = (10.4n / 0.05) = 208n Put the value of 'm' in equation (i), we get, 11 × 208n - 18.4n = 80000 Or, 2288n - 18.4n = 80000 So, n = (80000 / 2270) = 35.24 Or, 'm' = 208n = 208 × 35.24 = 7330 Income of 'Y' = 6m = 6 × 7330 = Rs.43,980
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