Question
The monthly salary of Ankita is Rs. 21,300, and Mamta's
monthly salary is Rs. 12,000. The ratio of their monthly expenditures is 9:5, and the ratio of their monthly savings is 7:4. The question asks for the percentage by which Ankita's monthly expenditure is more or less than Mamta's monthly savings.Solution
ATQ, Let monthly expenditure of ‘Ankita’ and ‘Mamta’ is Rs. ‘9a’ and Rs. ‘5a’ respectively. And, monthly savings of ‘Ankita’ and ‘Mamta’ is Rs. ‘7b’ and Rs. ‘4b’ respectively. So, 9a + 7b = 21300......................(1) And, 5a + 4b = 12000......................(2) Solving equation (1) and (2), we get; a = 1200 and b = 1500 Monthly expenditure of ‘Ankita’ = 9 × 1200 = Rs. 10800 Monthly savings of ‘Mamta’ = 4 × 1500 = Rs. 6000 Required percentage = [(10800 – 6000)/6000] × 100 = 80%
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