Question
The income of 'B' exceeds 'A's income by 15%, and they
spend in the ratio of 5:6, respectively. The income of 'A' surpasses 'B's expenditure by Rs. 1,000. Additionally, 'A' manages to save Rs. 100 more than 'B'. Determine the income of 'A'.Solution
Let, the income of 'A' be Rs. '20x'. So, the income of 'B' = 1.15 X 20x = Rs. '23x' Let, the expenditure of 'A' and 'B' be Rs. '5y' and Rs. '6y', respectively. According to the question, 20x - 5y = 23x - 6y + 100 Or, y - 3x = 100 ....(i) Also, 20x - 6y = 1000 Or, 10x - 3y = 500 ....(ii) Multiple equation (i) with 3 and add it with equation (ii) , we get, 10x - 3y + 3y - 9x = 500 + 300 Or, x = 800 So, the income of 'B' = 20x = 20 X 800 = Rs. 16,000 Hence, option d.
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