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Select the correct answerThe incomes of two persons A and B are in the ratio 1: 2 and the ratio of their expenditures is 2: 5. If A saves Rs.20,000 and B saves Rs.35,000, what is the total income of A and B?Options60000300009000070000

Question

Select the correct answerThe incomes of two persons A and B are in the ratio 1: 2 and the ratio of their expenditures is 2: 5. If A saves Rs.20,000 and B saves Rs.35,000, what is the total income of A and B?Options60000300009000070000

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Solution

Let's solve this step by step:

  1. The ratio of the incomes of A and B is 1:2. Let's assume the income of A as x. So, the income of B will be 2x.

  2. The ratio of their expenditures is 2:5. Let's assume the expenditure of A as 2y and the expenditure of B as 5y.

  3. We know that Income - Expenditure = Savings. So, we can set up the following equations based on the information given:

    For A: x - 2y = 20000 ...(Equation 1)

    For B: 2x - 5y = 35000 ...(Equation 2)

  4. Multiply Equation 1 by 2, we get 2x - 4y = 40000.

  5. Now subtract Equation 2 from this, we get y = 5000.

  6. Substitute y = 5000 in Equation 1, we get x = 30000.

  7. So, the income of A is Rs. 30000 and the income of B is 2x = Rs. 60000.

  8. Therefore, the total income of A and B is Rs. 30000 + Rs. 60000 = Rs. 90000.

So, the correct answer is Rs. 90000.

This problem has been solved

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