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The incomes of Ravi and Kavita are in the ratio 2:3 and their expenditures are in the ratio 3:5. If…

Let the incomes be 2x and 3x and the expenditures 3y and 5y. Then \(2x-3y=100\) and \(3x-5y=100\). Multiplying the first by 5 and the second by 3 gives \(10x-15y=500\) and…

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The incomes of Ravi and Kavita are in the ratio 2:3 and their expenditures are in the ratio 3:5. If each saves ₹ 100, then Ravi's income is

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Correct answer C

Let the incomes be 2x and 3x and the expenditures 3y and 5y. Then 2x−3y=1002x-3y=100 and 3x−5y=1003x-5y=100. Multiplying the first by 5 and the second by 3 gives 10x−15y=50010x-15y=500 and 9x−15y=3009x-15y=300, so x=200x=200. Ravi's income is 2x=4002x=400 rupees.

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