Question
The incomes of 'P' and 'Q' are in the ratio 7:12
respectively. Income of 'P' is increased by 30% and that of 'Q' is decreased by Rs. 2,000 such that the decreased income of 'Q' equals 90% of the income of 'R'. Also, income of 'R' is Rs. 5,000 more than the previous income of 'P'. Find the increased income of 'P'.Solution
ATQ,
Let the initial incomes of 'P' and 'Q' be Rs. '7x' and Rs. '12x', respectively. So, new income of 'P' = 7x × 1.3 = Rs. '9.1x' And new income of 'Q' = Rs. '12x - 2000' And income of 'R' = (12x - 2000) × (10/9) ATQ; (12x - 2000) × (10/9) = 5000 + 7x Or, 120x - 20000 = 45000 + 63x Or, 57000 = 57x So, x = 1000 So, new income of 'P' = 9.1 × 1000 = Rs. 9,100
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