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Select the correct answerThe income of P and Q are in the ratio 3:5, and their expenditure in the ratio 1:2, If P saves RS.1200/- and Q saves RS.800/- find the income of P.OptionsRS.3400RS.2000RS.8000RS.4800RS.1500

Question

Select the correct answerThe income of P and Q are in the ratio 3:5, and their expenditure in the ratio 1:2, If P saves RS.1200/- and Q saves RS.800/- find the income of P.OptionsRS.3400RS.2000RS.8000RS.4800RS.1500

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Solution

Let's solve this step by step:

  1. We know that Savings = Income - Expenditure.

  2. Given that P saves Rs. 1200 and Q saves Rs. 800, we can write the equations as follows:

    For P: Income of P - Expenditure of P = Rs. 1200 For Q: Income of Q - Expenditure of Q = Rs. 800

  3. We also know that the income of P and Q are in the ratio 3:5 and their expenditures are in the ratio 1:2. Let's assume the income of P as 3x and Q as 5x. Similarly, let's assume the expenditure of P as y and Q as 2y.

  4. Substituting these values in the equations we get:

    For P: 3x - y = 1200 For Q: 5x - 2y = 800

  5. Multiply the first equation by 2, we get 6x - 2y = 2400.

  6. Now, we have two equations with the same coefficients for y:

    6x - 2y = 2400 5x - 2y = 800

  7. Subtract the second equation from the first, we get x = 1600.

  8. Substituting x = 1600 in the first equation, we get 3*1600 - y = 1200, which simplifies to y = 3600.

  9. Therefore, the income of P = 3x = 3*1600 = Rs. 4800.

So, the correct answer is Rs. 4800.

This problem has been solved

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