Question
The combined salaries of 'Arvind' and 'Bhanu' amount to
Rs. 20,000. 'Arvind' utilized 80% of his salary, while 'Bhanu' spent 60% of his salary, resulting in the sum of their savings being Rs. 6,500. Determine the percentage by which the expenditure of 'Bhanu' differs from that of 'Arvind.'Solution
ATQ, Let the salaries of 'Arvind' be Rs. 'a' Therefore, salary of 'Bhanu' = Rs. (20,000 - a) According to the question, 0.2a + 0.4 × (20000 - a) = 6500 Or, 0.2a + 8000 - 0.4a = 6500 Or, 0.2a = 1500 Or, 'a' = (1500/0.2) = 7500 Therefore, expenditure of 'Arvind' = 0.8a = 0.2 × 7500 = Rs. 6,000 Expenditure of 'Bhanu' = 0.6 × (20000 - a) = 0.6 × 12500 = Rs. 7500 Required % = {(7500 - 6000) /6000} × 100 = 25%
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