Question
The ratio of the income and savings of Anya is 9:4,
respectively. If her expenditure increases by an amount which is equal to 40% of her initial savings and her income increases by Rs. 2,400, then her savings will remain the same. Find her initial income.Solution
ATQ, Let the income and saving of Anya be Rs. '9x' and Rs. '4x', respectively. So, her expenditure = 9x - 4x = Rs. '5x' Her new expenditure = 5x + 0.4 × 4x = Rs. '6.6x' Since savings remain the same, therefore Her new income = 6.6x + 4x = Rs. '10.6x' ATQ: 10.6x - 9x = 2400 Or, 1.6x = 2400 Or, x = 2400 ÷ 1.6 Or, x = 1500 So, her initial income = 9x = 9 × 1500 = Rs. 13500
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